Bertolin, Cristiana; Galluzzi, Federica Brauer groups of 1-motives. (English) Zbl 07357163 J. Pure Appl. Algebra 225, No. 11, Article ID 106754, 22 p. (2021). MSC: 14F22 16H05 PDF BibTeX XML Cite \textit{C. Bertolin} and \textit{F. Galluzzi}, J. Pure Appl. Algebra 225, No. 11, Article ID 106754, 22 p. (2021; Zbl 07357163) Full Text: DOI
Ivanov, Evgeny; Mezincescu, Luca Global symmetries of Quaternion-Kähler \(\mathcal{N} = 4\) supersymmetric mechanics. (English) Zbl 1459.81110 J. High Energy Phys. 2021, No. 1, Paper No. 81, 26 p. (2021). MSC: 81T60 53B35 16H05 PDF BibTeX XML Cite \textit{E. Ivanov} and \textit{L. Mezincescu}, J. High Energy Phys. 2021, No. 1, Paper No. 81, 26 p. (2021; Zbl 1459.81110) Full Text: DOI arXiv
Siegele, Johannes; Pfurner, Martin; Schröcker, Hans-Peter Factorization of dual quaternion polynomials without study’s condition. (English) Zbl 1457.16023 Adv. Appl. Clifford Algebr. 31, No. 2, Paper No. 22, 17 p. (2021). MSC: 16S36 16H05 70B15 PDF BibTeX XML Cite \textit{J. Siegele} et al., Adv. Appl. Clifford Algebr. 31, No. 2, Paper No. 22, 17 p. (2021; Zbl 1457.16023) Full Text: DOI
Cala, Juan; Lundström, Patrik; Pinedo, Hector Object-unital groupoid graded rings, crossed products and separability. (English) Zbl 07328964 Commun. Algebra 49, No. 4, 1676-1696 (2021). Reviewer: Constantin Năstăsescu (Bucureşti) MSC: 16W50 16S35 12F10 16H05 20L05 PDF BibTeX XML Cite \textit{J. Cala} et al., Commun. Algebra 49, No. 4, 1676--1696 (2021; Zbl 07328964) Full Text: DOI
Cigliola, Antonio; Spirito, Dario; Tartarone, Francesca Multiplicative properties of integer valued polynomials over split-quaternions. (English) Zbl 07327529 Commun. Algebra 49, No. 3, 1338-1351 (2021). MSC: 16S36 16H05 16D25 16H10 13F20 PDF BibTeX XML Cite \textit{A. Cigliola} et al., Commun. Algebra 49, No. 3, 1338--1351 (2021; Zbl 07327529) Full Text: DOI
Gupta, Parul; Becher, Karim Johannes A ruled residue theorem for function fields of conics. (English) Zbl 07317134 J. Pure Appl. Algebra 225, No. 6, Article ID 106638, 13 p. (2021). MSC: 14H05 12F20 12J10 12J20 16H05 PDF BibTeX XML Cite \textit{P. Gupta} and \textit{K. J. Becher}, J. Pure Appl. Algebra 225, No. 6, Article ID 106638, 13 p. (2021; Zbl 07317134) Full Text: DOI
Dokuchaev, M.; Paques, A.; Pinedo, H.; Rocha, I. Partial generalized crossed products and a seven-term exact sequence. (English) Zbl 07305012 J. Algebra 572, 195-230 (2021). MSC: 13B05 13A50 16H05 16K50 16S35 16W22 20M18 PDF BibTeX XML Cite \textit{M. Dokuchaev} et al., J. Algebra 572, 195--230 (2021; Zbl 07305012) Full Text: DOI
Gómez-Torrecillas, José; Lobillo, F. J.; Navarro, Gabriel; Sánchez-Hernández, José Patricio Biseparable extensions are not necessarily Frobenius. (English) Zbl 07303584 Math. Z. 297, No. 1-2, 517-533 (2021). MSC: 16H05 16L60 16L60 16H05 16D20 16D40 16D90 PDF BibTeX XML Cite \textit{J. Gómez-Torrecillas} et al., Math. Z. 297, No. 1--2, 517--533 (2021; Zbl 07303584) Full Text: DOI
Li, Jinxia; He, Jianxun Some results for the two-sided quaternionic Gabor Fourier transform and quaternionic Gabor frame operator. (English) Zbl 1456.42042 Adv. Appl. Clifford Algebr. 31, No. 1, Paper No. 1, 17 p. (2021). MSC: 42C15 42B10 44A15 16H05 30G35 PDF BibTeX XML Cite \textit{J. Li} and \textit{J. He}, Adv. Appl. Clifford Algebr. 31, No. 1, Paper No. 1, 17 p. (2021; Zbl 1456.42042) Full Text: DOI
Pumplün, S. The automorphisms of generalized cyclic Azumaya algebras. (English) Zbl 07264653 J. Pure Appl. Algebra 225, No. 4, Article ID 106540, 17 p. (2021). MSC: 17A35 17A60 16S36 PDF BibTeX XML Cite \textit{S. Pumplün}, J. Pure Appl. Algebra 225, No. 4, Article ID 106540, 17 p. (2021; Zbl 07264653) Full Text: DOI
Voight, John Quaternion algebras. (English) Zbl 07261776 Graduate Texts in Mathematics 288. Cham: Springer (ISBN 978-3-030-56692-0/hbk; 978-3-030-56694-4/ebook). xxiii, 885 p., open access (2021). MSC: 16-01 16H05 11R52 PDF BibTeX XML Cite \textit{J. Voight}, Quaternion algebras. Cham: Springer (2021; Zbl 07261776) Full Text: DOI
First, Uriya A. On the non-neutral component of outer forms of the orthogonal group. (English) Zbl 07241687 J. Pure Appl. Algebra 225, No. 1, Article ID 106477, 5 p. (2021). Reviewer: Ben Williams (Vancouver) MSC: 11E57 11E39 14L15 16H05 PDF BibTeX XML Cite \textit{U. A. First}, J. Pure Appl. Algebra 225, No. 1, Article ID 106477, 5 p. (2021; Zbl 07241687) Full Text: DOI
Nickel, Andreas; Johnston, Henri Notes on noncommutative fitting invariants (with an appendix by Henri Johnston and Andreas Nickel). (English) Zbl 07373066 Kurihara, Masato (ed.) et al., Development of Iwasawa theory – the centennial of K. Iwasawa’s birth. Proceedings of the international conference “Iwasawa 2017”, University of Tokyo, Tokyo, Japan, July 19–28, 2017. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 86, 27-60 (2020). MSC: 16H05 16H10 16L30 PDF BibTeX XML Cite \textit{A. Nickel} and \textit{H. Johnston}, Adv. Stud. Pure Math. 86, 27--60 (2020; Zbl 07373066) Full Text: DOI
Tabuada, Gonçalo Embedding of the derived Brauer group into the secondary \(K\)-theory ring. (English) Zbl 07358356 J. Noncommut. Geom. 14, No. 2, 773-788 (2020). MSC: 14A22 14H20 16E20 16H05 16K50 18D20 PDF BibTeX XML Cite \textit{G. Tabuada}, J. Noncommut. Geom. 14, No. 2, 773--788 (2020; Zbl 07358356) Full Text: DOI
Pirsic, Ísabel Magic square’s squares and division algebras. (Magische Quadrat-Quadrate und Divisionsalgebren.) (German) Zbl 1459.16013 Math. Semesterber. 67, No. 2, 169-183 (2020). MSC: 16H05 05B15 05B20 PDF BibTeX XML Cite \textit{Í. Pirsic}, Math. Semesterber. 67, No. 2, 169--183 (2020; Zbl 1459.16013) Full Text: DOI
Aljadeff, Eli; Giambruno, Antonio; Procesi, Claudio; Regev, Amitai Rings with polynomial identities and finite dimensional representations of algebras. (English) Zbl 07314181 Colloquium Publications. American Mathematical Society 66. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5174-5/hbk; 978-1-4704-5695-5/ebook). xii, 630 p. (2020). Reviewer: Allan Berele (Chicago) MSC: 16-02 15-02 16H05 16H10 16R30 16W22 15A75 15A72 14L24 16N60 16P90 PDF BibTeX XML Cite \textit{E. Aljadeff} et al., Rings with polynomial identities and finite dimensional representations of algebras. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 07314181) Full Text: DOI
Braunling, Oliver On the relative \(K\)-group in the ETNC. II. (English) Zbl 07311747 J. Homotopy Relat. Struct. 15, No. 3-4, 597-624 (2020). Reviewer: Christoph Winges (Regensburg) MSC: 19F99 11R23 11R65 11G40 28C10 20C05 16S34 16H05 22B05 18E10 19A31 PDF BibTeX XML Cite \textit{O. Braunling}, J. Homotopy Relat. Struct. 15, No. 3--4, 597--624 (2020; Zbl 07311747) Full Text: DOI
Huang, Yifeng Unit equations on quaternions. (English) Zbl 1461.11052 Q. J. Math. 71, No. 4, 1521-1534 (2020). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11D61 11J86 11R52 16H05 PDF BibTeX XML Cite \textit{Y. Huang}, Q. J. Math. 71, No. 4, 1521--1534 (2020; Zbl 1461.11052) Full Text: DOI
Kanel-Belov, Alexei; Malev, Sergey; Rowen, Louis; Yavich, Roman Evaluations of noncommutative polynomials on algebras: methods and problems, and the L’vov-Kaplansky conjecture. (English) Zbl 1459.16012 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 071, 61 p. (2020). MSC: 16H05 16K20 16R30 16R40 17B99 PDF BibTeX XML Cite \textit{A. Kanel-Belov} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 071, 61 p. (2020; Zbl 1459.16012) Full Text: DOI
Jiang, Xiaolong; Kuo, Jung-Miao; Szeto, George On three special types of partial Galois extensions. (English) Zbl 07272800 J. Algebra Appl. 19, No. 12, Article ID 2150004, 13 p. (2020). MSC: 16H05 16W22 13B05 PDF BibTeX XML Cite \textit{X. Jiang} et al., J. Algebra Appl. 19, No. 12, Article ID 2150004, 13 p. (2020; Zbl 07272800) Full Text: DOI
Wang, Linhong; Wang, Xingting A note on generic Clifford algebras of binary cubic forms. (English) Zbl 07246662 Algebr. Represent. Theory 23, No. 4, 1797-1806 (2020). MSC: 16G30 16H05 11E88 PDF BibTeX XML Cite \textit{L. Wang} and \textit{X. Wang}, Algebr. Represent. Theory 23, No. 4, 1797--1806 (2020; Zbl 07246662) Full Text: DOI
Bertolin, Cristiana; Galluzzi, Federica A note on divisorial correspondences of extensions of abelian schemes by tori. (English) Zbl 1441.14148 Commun. Algebra 48, No. 7, 3031-3034 (2020). MSC: 14L15 14A20 14F22 16H05 PDF BibTeX XML Cite \textit{C. Bertolin} and \textit{F. Galluzzi}, Commun. Algebra 48, No. 7, 3031--3034 (2020; Zbl 1441.14148) Full Text: DOI
Kadison, Lars Uniquely separable extensions. (English) Zbl 07243072 Expo. Math. 38, No. 2, 217-231 (2020). Reviewer: Charlotte Ure (Charlottesville) MSC: 16H05 20C05 PDF BibTeX XML Cite \textit{L. Kadison}, Expo. Math. 38, No. 2, 217--231 (2020; Zbl 07243072) Full Text: DOI
Carvalho, Luís; Diogo, Cristina; Mendes, Sérgio The star-center of the quaternionic numerical range. (English) Zbl 07241724 Linear Algebra Appl. 603, 166-185 (2020). MSC: 47S05 47A12 11R52 16H05 15B33 PDF BibTeX XML Cite \textit{L. Carvalho} et al., Linear Algebra Appl. 603, 166--185 (2020; Zbl 07241724) Full Text: DOI
Reichstein, Zinovy On a rationality problem for fields of cross-ratios. (English) Zbl 1444.14040 Tokyo J. Math. 43, No. 1, 205-213 (2020). Reviewer: Charlotte Ure (Charlottesville) MSC: 14E08 12G05 16H05 16K50 PDF BibTeX XML Cite \textit{Z. Reichstein}, Tokyo J. Math. 43, No. 1, 205--213 (2020; Zbl 1444.14040) Full Text: DOI Euclid
Braunling, Oliver On the relative \(K\)-group in the ETNC. III. (English) Zbl 1448.19004 New York J. Math. 26, 656-687 (2020). Reviewer: Andreas Nickel (Essen) MSC: 19F99 11R65 11R23 11G40 28C10 20C05 16S34 16H05 22B05 18E10 19A31 PDF BibTeX XML Cite \textit{O. Braunling}, New York J. Math. 26, 656--687 (2020; Zbl 1448.19004) Full Text: Link
Sato, Masahisa Projective modules with unique maximal submodules are cyclic. (English) Zbl 07223728 Proc. Am. Math. Soc. 148, No. 9, 3673-3684 (2020). Reviewer: François Couchot (Caen) MSC: 16D40 16W99 16N20 16U99 PDF BibTeX XML Cite \textit{M. Sato}, Proc. Am. Math. Soc. 148, No. 9, 3673--3684 (2020; Zbl 07223728) Full Text: DOI
First, Uriya A.; Williams, Ben Involutions of Azumaya algebras. (English) Zbl 1446.16020 Doc. Math. 25, 527-633 (2020). Reviewer: Charlotte Ure (Charlottesville) MSC: 16H05 14F22 11E39 55P91 PDF BibTeX XML Cite \textit{U. A. First} and \textit{B. Williams}, Doc. Math. 25, 527--633 (2020; Zbl 1446.16020) Full Text: DOI
Elagin, Alexey; Lunts, Valery A.; Schnürer, Olaf M. Smoothness of derived categories of algebras. (English) Zbl 07206644 Mosc. Math. J. 20, No. 2, 277-309 (2020). MSC: 16E45 16E35 14F08 16H05 PDF BibTeX XML Cite \textit{A. Elagin} et al., Mosc. Math. J. 20, No. 2, 277--309 (2020; Zbl 07206644) Full Text: Link
Kulkarni, Rajesh S.; Lieblich, Max Blt Azumaya algebras and moduli of maximal orders. (English) Zbl 1439.16018 Math. Ann. 376, No. 1-2, 267-287 (2020). Reviewer: Arvid Siqveland (Kongsberg) MSC: 16K50 16H05 18B40 14A22 PDF BibTeX XML Cite \textit{R. S. Kulkarni} and \textit{M. Lieblich}, Math. Ann. 376, No. 1--2, 267--287 (2020; Zbl 1439.16018) Full Text: DOI
Mahmoudi, Mohammad Gholamzadeh On normal subgroups of the unit group of a quaternion algebra over a Pythagorean field. (English) Zbl 1452.16036 Bull. Iran. Math. Soc. 46, No. 1, 253-262 (2020). MSC: 16U60 16H05 16K20 11E57 20G15 PDF BibTeX XML Cite \textit{M. G. Mahmoudi}, Bull. Iran. Math. Soc. 46, No. 1, 253--262 (2020; Zbl 1452.16036) Full Text: DOI
Ardizzoni, Alessandro; Menini, Claudia Heavily separable functors. (English) Zbl 07128747 J. Algebra 543, 170-197 (2020). MSC: 18M05 16H05 PDF BibTeX XML Cite \textit{A. Ardizzoni} and \textit{C. Menini}, J. Algebra 543, 170--197 (2020; Zbl 07128747) Full Text: DOI arXiv
Chari, Sara Metacommutation of primes in central simple algebras. (English) Zbl 1454.11205 J. Number Theory 206, 296-309 (2020). MSC: 11R52 11R54 16H05 PDF BibTeX XML Cite \textit{S. Chari}, J. Number Theory 206, 296--309 (2020; Zbl 1454.11205) Full Text: DOI
Johansen, Tor-Aleksander; Corona Sanchez, José J.; Kristiansen, Raymond Dual quaternion control: a review of recent results within motion control. (English) Zbl 1452.70030 Nonlinear Stud. 26, No. 4, 869-893 (2019). MSC: 70Q05 15A66 16H05 93B52 PDF BibTeX XML Cite \textit{T.-A. Johansen} et al., Nonlinear Stud. 26, No. 4, 869--893 (2019; Zbl 1452.70030) Full Text: Link
Daşdemir, Ahmet Gelin-Cesáro identities for Fibonacci and Lucas quaternions. (English) Zbl 07201137 Ann. Univ. Paedagog. Crac., Stud. Math. 277, No. 18, 137-144 (2019). MSC: 11B37 16H05 11R52 PDF BibTeX XML Cite \textit{A. Daşdemir}, Ann. Univ. Paedagog. Crac., Stud. Math. 277, No. 18, 137--144 (2019; Zbl 07201137) Full Text: DOI
Kizil, Eyüp; Alagöz, Yasemin Derivations of generalized quaternion algebra. (English) Zbl 1431.16047 Turk. J. Math. 43, No. 5, 2649-2657 (2019). MSC: 16W25 16H05 PDF BibTeX XML Cite \textit{E. Kizil} and \textit{Y. Alagöz}, Turk. J. Math. 43, No. 5, 2649--2657 (2019; Zbl 1431.16047) Full Text: Link
Sakkalis, Takis; Ko, Kwanghee; Song, Galam Roots of quaternion polynomials: theory and computation. (English) Zbl 1453.12004 Theor. Comput. Sci. 800, 173-178 (2019). MSC: 12E15 16H05 16Z05 65H04 PDF BibTeX XML Cite \textit{T. Sakkalis} et al., Theor. Comput. Sci. 800, 173--178 (2019; Zbl 1453.12004) Full Text: DOI
Kazhdan, David A construction of projective bases for irreducible representations of multiplicative groups of division algebras over local fields. (English) Zbl 1453.22007 Sel. Math., New Ser. 25, No. 4, Paper No. 61, 4 p. (2019). MSC: 22E50 16H05 20C08 20G05 PDF BibTeX XML Cite \textit{D. Kazhdan}, Sel. Math., New Ser. 25, No. 4, Paper No. 61, 4 p. (2019; Zbl 1453.22007) Full Text: DOI arXiv
Ratnayake, Jayampathy \(K\)-automorphisms of a weak-crossed product \(F\)-algebra over a Galois extension \(K/F\). (English) Zbl 1433.16018 J. Algebra 539, 377-396 (2019). MSC: 16H05 12F10 PDF BibTeX XML Cite \textit{J. Ratnayake}, J. Algebra 539, 377--396 (2019; Zbl 1433.16018) Full Text: DOI
Liu, Xin; Zhang, Yang Consistency of split quaternion matrix equations \(AX^{\star }-XB=CY+D\) and \(X-AX^\star B=CY+D\). (English) Zbl 1420.15013 Adv. Appl. Clifford Algebr. 29, No. 4, Paper No. 64, 20 p. (2019). MSC: 15A24 16H05 PDF BibTeX XML Cite \textit{X. Liu} and \textit{Y. Zhang}, Adv. Appl. Clifford Algebr. 29, No. 4, Paper No. 64, 20 p. (2019; Zbl 1420.15013) Full Text: DOI
Gaddis, Jason; Won, Robert; Yee, Daniel Discriminants of Taft algebra smash products and applications. (English) Zbl 1451.16034 Algebr. Represent. Theory 22, No. 4, 785-799 (2019). MSC: 16W20 16W22 11R29 16S36 16S40 PDF BibTeX XML Cite \textit{J. Gaddis} et al., Algebr. Represent. Theory 22, No. 4, 785--799 (2019; Zbl 1451.16034) Full Text: DOI
McCormick, Kathryn Matrix bundles and operator algebras over a finitely bordered Riemann surface. (English) Zbl 07081875 Complex Anal. Oper. Theory 13, No. 3, 659-671 (2019). MSC: 47-XX PDF BibTeX XML Cite \textit{K. McCormick}, Complex Anal. Oper. Theory 13, No. 3, 659--671 (2019; Zbl 07081875) Full Text: DOI arXiv
Skopenkov, M.; Krasauskas, R. Surfaces containing two circles through each point. (English) Zbl 1416.51003 Math. Ann. 373, No. 3-4, 1299-1327 (2019). MSC: 51B10 13F15 16H05 PDF BibTeX XML Cite \textit{M. Skopenkov} and \textit{R. Krasauskas}, Math. Ann. 373, No. 3--4, 1299--1327 (2019; Zbl 1416.51003) Full Text: DOI
Helmstetter, Jacques Characteristic polynomials in Clifford algebras and in more general algebras. (English) Zbl 1428.15008 Adv. Appl. Clifford Algebr. 29, No. 2, Paper No. 30, 23 p. (2019). Reviewer: Eckhard Hitzer (Tokyo) MSC: 15A15 16S50 15A66 15A30 PDF BibTeX XML Cite \textit{J. Helmstetter}, Adv. Appl. Clifford Algebr. 29, No. 2, Paper No. 30, 23 p. (2019; Zbl 1428.15008) Full Text: DOI
Auel, Asher; First, Uriya A.; Williams, Ben Azumaya algebras without involution. (English) Zbl 1441.14072 J. Eur. Math. Soc. (JEMS) 21, No. 3, 897-921 (2019). Reviewer: Charlotte Ure (Charlottesville) MSC: 14F22 16H05 16W10 55R37 16K50 PDF BibTeX XML Cite \textit{A. Auel} et al., J. Eur. Math. Soc. (JEMS) 21, No. 3, 897--921 (2019; Zbl 1441.14072) Full Text: DOI arXiv
Reede, Fabian The symplectic structure on the moduli space of line bundles on a noncommutative Azumaya surface. (English) Zbl 1408.14134 Beitr. Algebra Geom. 60, No. 1, 67-76 (2019). MSC: 14J60 53D30 16H05 14J28 PDF BibTeX XML Cite \textit{F. Reede}, Beitr. Algebra Geom. 60, No. 1, 67--76 (2019; Zbl 1408.14134) Full Text: DOI arXiv
Dzwonkowski, Mariusz; Rykaczewski, Roman Secure quaternion Feistel cipher for DICOM images. (English) Zbl 1409.94870 IEEE Trans. Image Process. 28, No. 1, 371-380 (2019). MSC: 94A60 94A08 16H05 PDF BibTeX XML Cite \textit{M. Dzwonkowski} and \textit{R. Rykaczewski}, IEEE Trans. Image Process. 28, No. 1, 371--380 (2019; Zbl 1409.94870) Full Text: DOI
Fisher, Tom On some algebras associated to genus one curves. (English) Zbl 06990654 J. Algebra 518, 519-541 (2019). MSC: 14-XX 11-XX PDF BibTeX XML Cite \textit{T. Fisher}, J. Algebra 518, 519--541 (2019; Zbl 06990654) Full Text: DOI arXiv
Özen, Kahraman Esen; Tosun, Murat Elliptic matrix representations of elliptic biquaternions and their applications. (English) Zbl 1414.16017 Int. Electron. J. Geom. 11, No. 2, 96-103 (2018). MSC: 16H05 15B99 PDF BibTeX XML Cite \textit{K. E. Özen} and \textit{M. Tosun}, Int. Electron. J. Geom. 11, No. 2, 96--103 (2018; Zbl 1414.16017) Full Text: Link
Moschetti, Riccardo The derived category of a non-generic cubic fourfold containing a plane. (English) Zbl 1439.14061 Math. Res. Lett. 25, No. 5, 1525-1545 (2018). MSC: 14F08 14J35 14J17 14E15 16H05 PDF BibTeX XML Cite \textit{R. Moschetti}, Math. Res. Lett. 25, No. 5, 1525--1545 (2018; Zbl 1439.14061) Full Text: DOI arXiv
Jiang, Xiaolong; Kuo, Jung-Miao; Szeto, George On partial Galois algebras. (English) Zbl 1406.16017 Taiwanese J. Math. 22, No. 6, 1367-1382 (2018). MSC: 16H05 16W22 13B05 PDF BibTeX XML Cite \textit{X. Jiang} et al., Taiwanese J. Math. 22, No. 6, 1367--1382 (2018; Zbl 1406.16017) Full Text: DOI Euclid
Fallah-Moghaddam, R.; Moshtagh, H. Radicability condition on \(\mathrm{GL}_n(D)\). (English) Zbl 1404.16017 J. Algebra Appl. 17, No. 11, Article ID 1850203, 11 p. (2018). MSC: 16K20 12E99 16H05 PDF BibTeX XML Cite \textit{R. Fallah-Moghaddam} and \textit{H. Moshtagh}, J. Algebra Appl. 17, No. 11, Article ID 1850203, 11 p. (2018; Zbl 1404.16017) Full Text: DOI
Kikumasa, Isao; Koike, Kazutoshi; Oshiro, Kiyoichi Complex rings, quaternion rings and octonion rings. (English) Zbl 1410.16024 Sanada, Katsunori (ed.), Proceedings of the 50th symposium on ring theory and representation theory, University of Yamanashi, Yamanashi, Japan, October 7–10, 2017. Yamanashi: Symposium on Ring Theory and Representation Theory Organizing Committee. 74-83 (2018). MSC: 16H05 PDF BibTeX XML Cite \textit{I. Kikumasa} et al., in: Proceedings of the 50th symposium on ring theory and representation theory, University of Yamanashi, Yamanashi, Japan, October 7--10, 2017. Yamanashi: Symposium on Ring Theory and Representation Theory Organizing Committee. 74--83 (2018; Zbl 1410.16024)
Wisbauer, Robert Separability in algebra and category theory. (English) Zbl 1404.12005 Ashraf, Mohammad (ed.) et al., Algebra and its applications. Proceedings of the international conference held at Aligarh Muslim University, Aligarh, India, November 12–14, 2016. Berlin: De Gruyter (ISBN 978-3-11-054092-5/hbk; 978-3-11-054240-0/ebook). De Gruyter Proceedings in Mathematics, 265-305 (2018). MSC: 12F10 16H05 18A99 12-02 12-03 PDF BibTeX XML Cite \textit{R. Wisbauer}, in: Algebra and its applications. Proceedings of the international conference held at Aligarh Muslim University, Aligarh, India, November 12--14, 2016. Berlin: De Gruyter. 265--305 (2018; Zbl 1404.12005) Full Text: DOI
Menegaz, Henrique M. T.; Ishihara, João Y. Unscented and square-root unscented Kalman filters for quaternionic systems. (English) Zbl 1401.93204 Int. J. Robust Nonlinear Control 28, No. 15, 4500-4527 (2018). MSC: 93E11 93E10 16H05 PDF BibTeX XML Cite \textit{H. M. T. Menegaz} and \textit{J. Y. Ishihara}, Int. J. Robust Nonlinear Control 28, No. 15, 4500--4527 (2018; Zbl 1401.93204) Full Text: DOI
Brown, K. A.; Yakimov, M. T. Azumaya loci and discriminant ideals of PI algebras. (English) Zbl 1433.16016 Adv. Math. 340, 1219-1255 (2018). MSC: 16G30 17B37 13F60 PDF BibTeX XML Cite \textit{K. A. Brown} and \textit{M. T. Yakimov}, Adv. Math. 340, 1219--1255 (2018; Zbl 1433.16016) Full Text: DOI
Ata, Erhan; Yıldırım, Yasemin A different polar representation for generalized and generalized dual quaternions. (English) Zbl 1446.16019 Adv. Appl. Clifford Algebr. 28, No. 4, Paper No. 77, 20 p. (2018). MSC: 16H05 70B10 70E15 PDF BibTeX XML Cite \textit{E. Ata} and \textit{Y. Yıldırım}, Adv. Appl. Clifford Algebr. 28, No. 4, Paper No. 77, 20 p. (2018; Zbl 1446.16019) Full Text: DOI
Chapman, Adam; Dolphin, Andrew; Leep, David B. Triple linkage of quadratic Pfister forms. (English) Zbl 1446.11063 Manuscr. Math. 157, No. 3-4, 435-443 (2018). Reviewer: Detlev Hoffmann (Dortmund) MSC: 11E81 11E04 16K20 16H05 12G05 PDF BibTeX XML Cite \textit{A. Chapman} et al., Manuscr. Math. 157, No. 3--4, 435--443 (2018; Zbl 1446.11063) Full Text: DOI arXiv
Nystedt, Patrik; Öinert, Johan; Pinedo, Héctor Epsilon-strongly graded rings, separability and semisimplicity. (English) Zbl 06940710 J. Algebra 514, 1-24 (2018). MSC: 16W50 16S35 16H05 16K99 16E60 PDF BibTeX XML Cite \textit{P. Nystedt} et al., J. Algebra 514, 1--24 (2018; Zbl 06940710) Full Text: DOI arXiv
Dattoli, G.; Licciardi, S.; Pidatella, R. M.; Sabia, E. Hybrid complex numbers: the matrix version. (English) Zbl 1394.15017 Adv. Appl. Clifford Algebr. 28, No. 3, Paper No. 58, 17 p. (2018). MSC: 15A66 16H05 33B10 PDF BibTeX XML Cite \textit{G. Dattoli} et al., Adv. Appl. Clifford Algebr. 28, No. 3, Paper No. 58, 17 p. (2018; Zbl 1394.15017) Full Text: DOI
Auel, Asher; Bernardara, Marcello Semiorthogonal decompositions and birational geometry of del Pezzo surfaces over arbitrary fields. (English) Zbl 1435.14015 Proc. Lond. Math. Soc. (3) 117, No. 1, 1-64 (2018). Reviewer: Tanya Srivastava (Klosterneuburg) MSC: 14E08 14F08 14G27 14J26 16H05 11E88 14J20 16K50 PDF BibTeX XML Cite \textit{A. Auel} and \textit{M. Bernardara}, Proc. Lond. Math. Soc. (3) 117, No. 1, 1--64 (2018; Zbl 1435.14015) Full Text: DOI
Wisbauer, Robert A categorical approach to algebras and coalgebras. (English) Zbl 1420.16012 Int. Electron. J. Algebra 24, 153-173 (2018). MSC: 16H05 16T05 18C15 18C20 PDF BibTeX XML Cite \textit{R. Wisbauer}, Int. Electron. J. Algebra 24, 153--173 (2018; Zbl 1420.16012) Full Text: DOI
Becher, Karim Johannes; Grenier-Boley, Nicolas; Tignol, Jean-Pierre Transfer of quadratic forms and of quaternion algebras over quadratic field extensions. (English) Zbl 1403.11032 Arch. Math. 111, No. 2, 135-143 (2018). Reviewer: Adam Chapman (Upper Galilee) MSC: 11E04 11E81 12G05 16H05 PDF BibTeX XML Cite \textit{K. J. Becher} et al., Arch. Math. 111, No. 2, 135--143 (2018; Zbl 1403.11032) Full Text: DOI arXiv
Xie, Fei Toric surfaces over an arbitrary field. (English) Zbl 1405.14087 Pac. J. Math. 296, No. 2, 481-507 (2018). Reviewer: Piotr Krasoń (Szczecin) MSC: 14J20 14L30 14M25 11E72 16E35 16H05 PDF BibTeX XML Cite \textit{F. Xie}, Pac. J. Math. 296, No. 2, 481--507 (2018; Zbl 1405.14087) Full Text: DOI
Xu, Aimin Notes on strongly separable extensions. (English) Zbl 1399.16062 J. Math., Wuhan Univ. 38, No. 1, 25-33 (2018). MSC: 16S20 16E10 16G10 16G60 16H05 PDF BibTeX XML Cite \textit{A. Xu}, J. Math., Wuhan Univ. 38, No. 1, 25--33 (2018; Zbl 1399.16062) Full Text: DOI
Ganev, Iordan Quantizations of multiplicative hypertoric varieties at a root of unity. (English) Zbl 1400.14134 J. Algebra 506, 92-128 (2018). MSC: 14M99 14F05 14L24 16T20 20G42 PDF BibTeX XML Cite \textit{I. Ganev}, J. Algebra 506, 92--128 (2018; Zbl 1400.14134) Full Text: DOI
Reich, Daniel J.; Walton, Chelsea Explicit representations of 3-dimensional Sklyanin algebras associated to a point of order 2. (English) Zbl 1418.16016 Involve 11, No. 4, 585-608 (2018). MSC: 16S38 16G99 16Z05 PDF BibTeX XML Cite \textit{D. J. Reich} and \textit{C. Walton}, Involve 11, No. 4, 585--608 (2018; Zbl 1418.16016) Full Text: DOI
Huebschmann, Johannes Normality of algebras over commutative rings and the Teichmüller class. III: Examples. (English) Zbl 1428.13011 J. Homotopy Relat. Struct. 13, No. 1, 127-142 (2018). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 13B05 12G05 16H05 16K50 16S35 20J06 PDF BibTeX XML Cite \textit{J. Huebschmann}, J. Homotopy Relat. Struct. 13, No. 1, 127--142 (2018; Zbl 1428.13011) Full Text: DOI
Huebschmann, Johannes Normality of algebras over commutative rings and the Teichmüller class. II: Crossed pairs and the relative case. (English) Zbl 1439.13026 J. Homotopy Relat. Struct. 13, No. 1, 71-125 (2018). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 13B05 12G05 16H05 16K50 16S35 20J06 PDF BibTeX XML Cite \textit{J. Huebschmann}, J. Homotopy Relat. Struct. 13, No. 1, 71--125 (2018; Zbl 1439.13026) Full Text: DOI
Huebschmann, Johannes Normality of algebras over commutative rings and the Teichmüller class. I: The absolute case. (English) Zbl 1439.13025 J. Homotopy Relat. Struct. 13, No. 1, 1-70 (2018). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 13B05 12G05 16H05 16K50 16S35 20J06 PDF BibTeX XML Cite \textit{J. Huebschmann}, J. Homotopy Relat. Struct. 13, No. 1, 1--70 (2018; Zbl 1439.13025) Full Text: DOI
Sheydvasser, Arseniy Orders of quaternion algebras with involution. (English) Zbl 1405.16031 J. Number Theory 183, 249-268 (2018). MSC: 16H10 16H05 16W10 PDF BibTeX XML Cite \textit{A. Sheydvasser}, J. Number Theory 183, 249--268 (2018; Zbl 1405.16031) Full Text: DOI arXiv
Fung, King Cheong; Kane, Ben On sign changes of cusp forms and the halting of an algorithm to construct a supersingular elliptic curve with a given endomorphism ring. (English) Zbl 1422.11134 Math. Comput. 87, No. 309, 501-514 (2018). MSC: 11G05 11E20 11E45 11F37 16H05 68W40 PDF BibTeX XML Cite \textit{K. C. Fung} and \textit{B. Kane}, Math. Comput. 87, No. 309, 501--514 (2018; Zbl 1422.11134) Full Text: DOI arXiv
Becher, Karim Johannes; Grenier-Boley, Nicolas; Tignol, Jean-Pierre Involutions and stable subalgebras. (English) Zbl 1377.16011 J. Algebra 493, 381-409 (2018). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 16H05 16R50 16W10 PDF BibTeX XML Cite \textit{K. J. Becher} et al., J. Algebra 493, 381--409 (2018; Zbl 1377.16011) Full Text: DOI
Zhang, Dandan; Kou, Kit Ian; Liu, Yang; Cao, Jinde Decomposition approach to the stability of recurrent neural networks with asynchronous time delays in quaternion field. (English) Zbl 1437.93112 Neural Netw. 94, 55-66 (2017). MSC: 93D23 93B70 93C43 16H05 PDF BibTeX XML Cite \textit{D. Zhang} et al., Neural Netw. 94, 55--66 (2017; Zbl 1437.93112) Full Text: DOI
Motiee, Mehran On normalizers of maximal subfields of division algebras. (English) Zbl 1433.16017 Bull. Iran. Math. Soc. 43, No. 6, 2051-2056 (2017). MSC: 16H05 20D10 16K20 12E15 PDF BibTeX XML Cite \textit{M. Motiee}, Bull. Iran. Math. Soc. 43, No. 6, 2051--2056 (2017; Zbl 1433.16017) Full Text: Link
Dospra, Petroula; Poulakis, Dimitrios Determining special roots of quaternion polynomials. (English) Zbl 1399.12004 Ann. Math. Inform. 47, 75-83 (2017). MSC: 12E15 11R52 16H05 PDF BibTeX XML Cite \textit{P. Dospra} and \textit{D. Poulakis}, Ann. Math. Inform. 47, 75--83 (2017; Zbl 1399.12004) Full Text: Link
Atasoy, Ali; Ata, Erhan; Yayli, Yusuf; Kemer, Yasemin A new polar representation for split and dual split quaternions. (English) Zbl 1409.16013 Adv. Appl. Clifford Algebr. 27, No. 3, 2307-2319 (2017). MSC: 16H05 53B30 PDF BibTeX XML Cite \textit{A. Atasoy} et al., Adv. Appl. Clifford Algebr. 27, No. 3, 2307--2319 (2017; Zbl 1409.16013) Full Text: DOI
Bagio, Dirceu; Pinedo, Hector On the separability of the partial skew groupoid ring. (English) Zbl 1380.16016 São Paulo J. Math. Sci. 11, No. 2, 370-384 (2017). MSC: 16H05 16W22 20L05 PDF BibTeX XML Cite \textit{D. Bagio} and \textit{H. Pinedo}, São Paulo J. Math. Sci. 11, No. 2, 370--384 (2017; Zbl 1380.16016) Full Text: DOI arXiv
Lee, Gangyong; Oshiro, Kiyoichi Quaternion rings and octonion rings. (English) Zbl 1385.16016 Front. Math. China 12, No. 1, 143-155 (2017). MSC: 16L60 16H05 16U80 16D50 PDF BibTeX XML Cite \textit{G. Lee} and \textit{K. Oshiro}, Front. Math. China 12, No. 1, 143--155 (2017; Zbl 1385.16016) Full Text: DOI
Ford, Timothy J. Separable algebras. (English) Zbl 1422.16014 Graduate Studies in Mathematics 183. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3770-1/hbk; 978-1-4704-4230-9/ebook). xxi, 637 p. (2017). Reviewer: Stefaan Caenepeel (Brussels) MSC: 16H05 13B05 13B40 13J15 12G05 12H05 14F22 PDF BibTeX XML Cite \textit{T. J. Ford}, Separable algebras. Providence, RI: American Mathematical Society (AMS) (2017; Zbl 1422.16014) Full Text: DOI
Lamprakis, Ch.; Theohari-Apostolidi, Th. Construction of idempotent 2-cocycles. (English) Zbl 1396.16021 J. Algebra 492, 419-456 (2017). MSC: 16S35 16H05 11S20 11S45 16W50 PDF BibTeX XML Cite \textit{Ch. Lamprakis} and \textit{Th. Theohari-Apostolidi}, J. Algebra 492, 419--456 (2017; Zbl 1396.16021) Full Text: DOI
Dokuchaev, Mikhailo; Kirichenko, Vladimir; Kudryavtseva, Ganna; Plakhotnyk, Makar The max-plus algebra of exponent matrices of tiled orders. (English) Zbl 1406.16016 J. Algebra 490, 1-20 (2017). MSC: 16H05 16Z99 15A80 16G30 PDF BibTeX XML Cite \textit{M. Dokuchaev} et al., J. Algebra 490, 1--20 (2017; Zbl 1406.16016) Full Text: DOI
Villa, Oliver Conjugation of elements in central simple algebras. (English) Zbl 1373.16037 Commun. Algebra 45, No. 5, 2047-2051 (2017). Reviewer: John D. Dixon (Ottawa) MSC: 16K20 16W10 15A23 16H05 PDF BibTeX XML Cite \textit{O. Villa}, Commun. Algebra 45, No. 5, 2047--2051 (2017; Zbl 1373.16037) Full Text: DOI
Cheng, Tao; Huang, Hua-Lin; Yang, Yuping; Zhang, Yinhuo The octonions form an Azumaya algebra in certain braided linear Gr-categories. (English) Zbl 1366.16013 Adv. Appl. Clifford Algebr. 27, No. 2, 1055-1064 (2017). MSC: 16H05 15A66 18D10 PDF BibTeX XML Cite \textit{T. Cheng} et al., Adv. Appl. Clifford Algebr. 27, No. 2, 1055--1064 (2017; Zbl 1366.16013) Full Text: DOI
Ardizzoni, Alessandro; El Kaoutit, Laiachi Invertible bimodules, Miyashita action in monoidal categories and Azumaya monoids. (English) Zbl 1362.18009 Nagoya Math. J. 225, 1-63 (2017). Reviewer: Wolfgang Rump (Stuttgart) MSC: 18D10 16H05 14L30 PDF BibTeX XML Cite \textit{A. Ardizzoni} and \textit{L. El Kaoutit}, Nagoya Math. J. 225, 1--63 (2017; Zbl 1362.18009) Full Text: DOI arXiv
Nguyen Ngoc Dong Quan The Brauer-Manin obstruction for certain quartic curves with negative discriminant. (English) Zbl 1390.14066 Commun. Algebra 45, No. 2, 455-468 (2017). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 14G05 11G35 11G30 PDF BibTeX XML Cite \textit{Nguyen Ngoc Dong Quan}, Commun. Algebra 45, No. 2, 455--468 (2017; Zbl 1390.14066) Full Text: DOI
Negron, Cris The derived Picard group of an affine Azumaya algebra. (English) Zbl 1367.16014 Sel. Math., New Ser. 23, No. 2, 1449-1468 (2017). Reviewer: Uriya A. First (Vancouver) MSC: 16H05 16E20 16E35 16D20 PDF BibTeX XML Cite \textit{C. Negron}, Sel. Math., New Ser. 23, No. 2, 1449--1468 (2017; Zbl 1367.16014) Full Text: DOI arXiv
Caruso, Xavier; Le Borgne, Jérémy A new faster algorithm for factoring skew polynomials over finite fields. (English) Zbl 1373.16046 J. Symb. Comput. 79, Part 2, 411-443 (2017). MSC: 16S36 16Z05 16H05 PDF BibTeX XML Cite \textit{X. Caruso} and \textit{J. Le Borgne}, J. Symb. Comput. 79, Part 2, 411--443 (2017; Zbl 1373.16046) Full Text: DOI
First, Uriya A.; Reichstein, Zinovy On the number of generators of an algebra. (Sur le nombre de générateurs d’une algèbre.) (English. French summary) Zbl 1371.13024 C. R., Math., Acad. Sci. Paris 355, No. 1, 5-9 (2017). Reviewer: Septimiu Crivei (Cluj-Napoca) MSC: 13E05 13C15 16H05 PDF BibTeX XML Cite \textit{U. A. First} and \textit{Z. Reichstein}, C. R., Math., Acad. Sci. Paris 355, No. 1, 5--9 (2017; Zbl 1371.13024) Full Text: DOI arXiv
Tikaradze, Akaki Ideals in deformation quantizations over \(\mathbb{Z} / p^n \mathbb{Z}\). (English) Zbl 1360.16017 J. Pure Appl. Algebra 221, No. 1, 229-236 (2017). MSC: 16H05 16S80 13F35 PDF BibTeX XML Cite \textit{A. Tikaradze}, J. Pure Appl. Algebra 221, No. 1, 229--236 (2017; Zbl 1360.16017) Full Text: DOI arXiv
Yamanaka, Satoshi On weakly separable extensions and weakly quasi-separable extensions. (English) Zbl 1369.16022 Nishinaka, Tsunekazu (ed.), Proceedings of the 48th symposium on ring theory and representation theory, Nagoya University, Nagoya, Japan, September 7–10, 2015. Yamanashi: Symposium on Ring Theory and Representation Theory Organizing Committee. 146-151 (2016). MSC: 16H05 16S36 16W25 PDF BibTeX XML Cite \textit{S. Yamanaka}, in: Proceedings of the 48th symposium on ring theory and representation theory, Nagoya University, Nagoya, Japan, September 7--10, 2015. Yamanashi: Symposium on Ring Theory and Representation Theory Organizing Committee. 146--151 (2016; Zbl 1369.16022)
Zhuravlev, V. M.; Zhuravlev, D. V.; Shevchenko, O. A. Admissible quivers and tiled orders of finite global dimension in \(M_n(D), n\leq6\). (English) Zbl 1374.16026 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2016, No. 3, 13-18 (2016). MSC: 16E10 16H05 16P10 PDF BibTeX XML Cite \textit{V. M. Zhuravlev} et al., Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2016, No. 3, 13--18 (2016; Zbl 1374.16026)
Shimakura, Masamitsu; Sanada, Katsunori On the Hochschild cohomology ring of integral cyclic algebras. (English) Zbl 1369.16012 SUT J. Math. 52, No. 2, 159-179 (2016). MSC: 16E40 16H05 16H10 PDF BibTeX XML Cite \textit{M. Shimakura} and \textit{K. Sanada}, SUT J. Math. 52, No. 2, 159--179 (2016; Zbl 1369.16012)
Kuzmina, Irina A.; Chodorová, Marie The group of invertible elements of the algebra of quaternions. (English) Zbl 1362.16024 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 55, No. 1, 53-58 (2016). MSC: 16H05 PDF BibTeX XML Cite \textit{I. A. Kuzmina} and \textit{M. Chodorová}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 55, No. 1, 53--58 (2016; Zbl 1362.16024) Full Text: Link
Yahorau, Uladzimir Non-conjugacy of maximal abelian diagonalizable subalgebras in extended affine Lie algebras. (English) Zbl 1411.17024 Ark. Mat. 54, No. 2, 571-581 (2016). Reviewer: Angelo Bianchi (São José dos Campos) MSC: 17B67 16H05 17B05 PDF BibTeX XML Cite \textit{U. Yahorau}, Ark. Mat. 54, No. 2, 571--581 (2016; Zbl 1411.17024) Full Text: DOI arXiv
Amir, Amir Kamal Around homomorphism between quaternion and skew polynomial ring. (English) Zbl 1361.16016 Far East J. Math. Sci. (FJMS) 100, No. 9, 1373-1381 (2016). Reviewer: János Kurdics (Nyíregyháza) MSC: 16S36 16H05 PDF BibTeX XML Cite \textit{A. K. Amir}, Far East J. Math. Sci. (FJMS) 100, No. 9, 1373--1381 (2016; Zbl 1361.16016) Full Text: DOI Link
Boukas, Andreas; Fellouris, Anargyros On the solution of bilateral quaternion polynomial equations. (English) Zbl 1395.11129 Int. J. Math. Comput. Sci. 11, No. 1, 1-21 (2016). MSC: 11R52 16H05 13P10 15A66 PDF BibTeX XML Cite \textit{A. Boukas} and \textit{A. Fellouris}, Int. J. Math. Comput. Sci. 11, No. 1, 1--21 (2016; Zbl 1395.11129) Full Text: Link
Ivanov, A. A. The BV-algebra structure on the Hochschild cohomology of local algebras of quaternion type in characteristic 2. (English. Russian original) Zbl 1359.16009 J. Math. Sci., New York 219, No. 3, 427-461 (2016); translation from Zap. Nauchn. Semin. POMI 430, 136-185 (2014). MSC: 16E40 16S34 16H05 PDF BibTeX XML Cite \textit{A. A. Ivanov}, J. Math. Sci., New York 219, No. 3, 427--461 (2016; Zbl 1359.16009); translation from Zap. Nauchn. Semin. POMI 430, 136--185 (2014) Full Text: DOI
Groechenig, Michael Moduli of flat connections in positive characteristic. (English) Zbl 1368.14021 Math. Res. Lett. 23, No. 4, 989-1047 (2016). Reviewer: Alberto Castaño Domínguez (Chemnitz) MSC: 14D20 14F10 PDF BibTeX XML Cite \textit{M. Groechenig}, Math. Res. Lett. 23, No. 4, 989--1047 (2016; Zbl 1368.14021) Full Text: DOI arXiv
Sivatski, Alexander S. Nonexcellent finite field extensions of 2-primary degree. (English) Zbl 1358.11055 Manuscr. Math. 151, No. 3-4, 549-565 (2016). Reviewer: Andrew Dolphin (Antwerpen) MSC: 11E04 11E81 16H05 12E20 PDF BibTeX XML Cite \textit{A. S. Sivatski}, Manuscr. Math. 151, No. 3--4, 549--565 (2016; Zbl 1358.11055) Full Text: DOI