Heidari Zadeh, L. Superderivations and Jordan superderivations of generalized quaternion algebras. (English) Zbl 07975411 J. Mahani Math. Res. Cent. 13, No. 5, 1-9 (2024). MSC: 16H05 16W25 17A70 17B60 × Cite Format Result Cite Review PDF Full Text: DOI
Altamirano-Gomez, Gerardo; Gershenson, Carlos Quaternion convolutional neural networks: current advances and future directions. (English) Zbl 1547.68679 Adv. Appl. Clifford Algebr. 34, No. 4, Paper No. 42, 63 p. (2024). MSC: 68T07 16H05 30G35 68-02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tsui, Man Cheung; Wang, Yidi Cohomology for Picard-Vessiot theory. (English) Zbl 07905960 J. Algebra 658, 49-72 (2024). MSC: 12H05 16T05 20G10 16H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gant, W. S.; Williams, Ben Spaces of generators for the \(2 \times 2\) complex matrix algebra. (English) Zbl 07883458 New York J. Math. 30, 756-773 (2024). MSC: 14F25 15A99 16S15 55R40 × Cite Format Result Cite Review PDF Full Text: Link
Ghiloni, Riccardo; Stoppato, Caterina A unified notion of regularity in one hypercomplex variable. (English) Zbl 07873694 J. Geom. Phys. 202, Article ID 105219, 13 p. (2024). Reviewer: Eckhard Hitzer (Tōkyō) MSC: 30G35 32A50 16H05 17A35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
First, Uriya A. Highly versal torsors. (English) Zbl 07861172 Mann, Avinoam (ed.) et al., Amitsur centennial symposium, virtual and the Israel Institute for Advanced Studies (IIAS), The Hebrew University of Jerusalem, Jerusalem, Israel, November 1–4, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 800, 129-174 (2024). MSC: 14L15 14L30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Illmer, Maximilian; Netzer, Tim A note on polynomial equations over algebras. (English) Zbl 07836111 Proc. Am. Math. Soc. 152, No. 5, 1831-1839 (2024). Reviewer: Joël Kabore (Ouagadougou) MSC: 16P10 16H05 17C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mukherjee, Snehashis The Azumaya locus of certain quantum symplectic spaces. (English) Zbl 1542.16027 Commun. Algebra 52, No. 5, 2127-2137 (2024). MSC: 16S85 16T20 16D25 17B37 × Cite Format Result Cite Review PDF Full Text: DOI
Srimathy, Srinivasan Azumaya algebras with involution and classical semisimple group schemes. (English) Zbl 07809578 Algebr. Geom. 11, No. 2, 163-173 (2024). MSC: 14L15 16H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Morales, Yiby; Müller, Monique; Plavnik, Julia; Ros Camacho, Ana; Tabiri, Angela; Walton, Chelsea Algebraic structures in group-theoretical fusion categories. (English) Zbl 1530.18025 Algebr. Represent. Theory 26, No. 6, 2399-2431 (2023). Reviewer: Liu Gongxiang (Nanjing) MSC: 18M20 16D90 16H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chirvasitu, Alexandru; Peng, Jun Manifolds of Lie-group-valued cocycles and discrete cohomology. (English) Zbl 1540.22049 SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 106, 28 p. (2023). Reviewer: Chunguang Xia (Xuzhou) MSC: 22E65 17B65 58B25 22E41 57N35 46L05 16H05 16D60 16K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Glass, Cheyne; Tradler, Thomas; Zeinalian, Mahmoud Iterated integrals with values in Azumaya algebras. (English) Zbl 1527.55012 Proc. Am. Math. Soc. 151, No. 12, 5453-5467 (2023). Reviewer: Jean-Claude Thomas (Angers) MSC: 55P48 53C08 58A10 57T30 16E45 57R99 × Cite Format Result Cite Review PDF Full Text: DOI
Bagio, Dirceu; Martínez, Luis; Pinedo, Héctor Epsilon-strongly graded rings: Azumaya algebras and partial crossed products. (English) Zbl 07739175 Forum Math. 35, No. 5, 1257-1277 (2023). MSC: 16W50 16W22 16W55 13A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gupta, Parul; Kaur, Yashpreet; Singh, Anupam Splitting of differential quaternion algebras. (English) Zbl 1533.12002 J. Algebra 633, 43-55 (2023). Reviewer: Sergi Simon (Portsmouth) MSC: 12H05 16H05 16W25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Altamirano-Escobedo, Guillermo; Bayro-Corrochano, Eduardo Quaternion quantum neural network for classification. (English) Zbl 1526.81017 Adv. Appl. Clifford Algebr. 33, No. 4, Paper No. 40, 23 p. (2023). MSC: 81P68 16H05 68T07 × Cite Format Result Cite Review PDF Full Text: DOI
Fischer, Johannes Pinching Azumaya algebras. (English) Zbl 1535.14050 J. Pure Appl. Algebra 227, No. 11, Article ID 107406, 8 p. (2023). Reviewer: Charlotte Ure (Normal) MSC: 14F22 14F20 16K50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rickards, James Counting intersection numbers of closed geodesics on Shimura curves. (English) Zbl 1536.11090 Res. Number Theory 9, No. 2, Paper No. 20, 45 p. (2023). Reviewer: Salman Abdulali (Greenville) MSC: 11G18 11Y40 11R52 16H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Shixin; Feng, Tao Perfect state transfer on bi-Cayley graphs over abelian groups. (English) Zbl 1521.81040 Discrete Math. 346, No. 6, Article ID 113362, 22 p. (2023). MSC: 81P45 81P68 68Q12 81Q35 05C25 20K01 13D03 16H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gupta, Parul; Kaur, Yashpreet; Singh, Anupam Splitting fields of differential symbol algebras. (English) Zbl 1525.12004 J. Pure Appl. Algebra 227, No. 5, Article ID 107280, 16 p. (2023). Reviewer: Sergi Simon (Portsmouth) MSC: 12H05 16H05 16W25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Junying; Guo, Xiaojiang Semigroup algebras which are Azumaya algebras. (English) Zbl 1521.20138 Semigroup Forum 106, No. 1, 160-168 (2023). Reviewer: Ulrich Knauer (Oldenburg) MSC: 20M25 16H05 × Cite Format Result Cite Review PDF Full Text: DOI
Gupta, Parul; Kaur, Yashpreet; Singh, Anupam Differential Central Simple Algebras. arXiv:2303.12430 Preprint, arXiv:2303.12430 [math.RA] (2023). MSC: 12H05 16H05 16W25 × Cite Format Result Cite Full Text: arXiv
Rickards, James Hecke operators acting on optimal embeddings in indefinite quaternion algebras. (English) Zbl 1536.11186 Acta Arith. 204, No. 4, 347-367 (2022). MSC: 11R52 11F11 11Y40 16H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
First, Uriya A.; Reichstein, Zinovy; Williams, Ben On the number of generators of an algebra over a commutative ring. (English) Zbl 1517.16014 Trans. Am. Math. Soc. 375, No. 10, 7277-7321 (2022). Reviewer: Stefaan Caenepeel (Brussels) MSC: 16H05 14L30 16S15 14F25 55R40 17A36 13E15 20G10 14M17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
First, Uriya A. On the Gersten-Witt complex of an Azumaya algebra with involution. (English) Zbl 1493.11083 J. Algebra 605, 146-178 (2022). Reviewer: Stefan Gille (Edmonton) MSC: 11E70 16H05 11E81 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arcila-Maya, Niny Decomposition of topological Azumaya algebras. (English) Zbl 1521.16024 Can. Math. Bull. 65, No. 2, 506-524 (2022). Reviewer: William Woods (Essex) MSC: 16W80 16H05 16K50 14F22 19L50 55P99 55Q52 55S45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brešar, Matej; Shulman, Victor S. On, around, and beyond Frobenius’ theorem on division algebras. (English) Zbl 1489.16014 Linear Multilinear Algebra 70, No. 7, 1369-1381 (2022). MSC: 16K20 16H05 16D70 16N40 16P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chinburg, Ted; Reid, Alan W.; Stover, Matthew Azumaya algebras and canonical components. (English) Zbl 1494.57026 Int. Math. Res. Not. 2022, No. 7, 4969-5036 (2022). Reviewer: Haimiao Chen (Beijing) MSC: 57K31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bajuk, Žan; Brešar, Matej Two-sided zero product determined algebras. (English) Zbl 1500.16039 Linear Algebra Appl. 643, 125-136 (2022). MSC: 16W25 16H05 16P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aljadeff, Eli; Karasik, Yakov On generic \(G\)-graded Azumaya algebras. (English) Zbl 1503.16025 Adv. Math. 399, Article ID 108292, 42 p. (2022). Reviewer: Uzi Vishne (Ramat Gan) MSC: 16R10 16W50 16K20 16R50 16H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Burban, Igor; Drozd, Yuriy Morita theory for non-commutative Noetherian schemes. (English) Zbl 1498.14003 Adv. Math. 399, Article ID 108273, 42 p. (2022). Reviewer: Wassilij Gnedin (Bochum) MSC: 14A22 14F06 14H99 16D90 16G99 16H05 16S38 16S60 18G99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ng’ambi, Richard; Ntumba, Patrice Involutions on sheaves of endomorphisms of locally finitely presented \(\mathscr{O}_X\)-modules. (English) Zbl 1486.16020 Mediterr. J. Math. 19, No. 2, Paper No. 80, 23 p. (2022). Reviewer: Mart Abel (Tartu) MSC: 16H05 16W10 14F22 14F06 18F20 × Cite Format Result Cite Review PDF Full Text: DOI
Grau, José María; Miguel, Celino; Oller-Marcén, Antonio M. Counting non-isomorphic generalized Hamilton quaternions. (English) Zbl 1517.16015 Int. Electron. J. Algebra 31, 143-160 (2022). Reviewer: Stefaan Caenepeel (Brussels) MSC: 16H05 13M99 11R52 × Cite Format Result Cite Review PDF Full Text: DOI
Hoffmann, Detlev W. Splitting of quadratic Pfister forms over purely inseparable extensions in characteristic 2. (English) Zbl 1487.11035 J. Algebra 596, 311-327 (2022). Reviewer: Albrecht Pfister (Mainz) MSC: 11E04 11E81 12F15 16H05 16K20 17A35 17A75 × Cite Format Result Cite Review PDF Full Text: DOI
Gómez-Torrecillas, J.; Kutas, P.; Lobillo, F. J.; Navarro, G. Primitive idempotents in central simple algebras over \(\mathbb{F}_q(t)\) with an application to coding theory. (English) Zbl 1494.16015 Finite Fields Appl. 77, Article ID 101935, 18 p. (2022). Reviewer: Damián Gvirtz (London) MSC: 16H05 16H10 16K50 94B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kulshrestha, Amit; Srinivasan, Varadharaj R. Quaternion algebras with derivations. (English) Zbl 1485.12008 J. Pure Appl. Algebra 226, No. 2, Article ID 106805, 14 p. (2022). Reviewer: Adam Chapman (Tel Hai) MSC: 12H05 16H05 × Cite Format Result Cite Review PDF Full Text: DOI
Astier, Vincent; Unger, Thomas P. Pfister’s local-global principle for Azumaya algebras with involution. arXiv:2210.04851 Preprint, arXiv:2210.04851 [math.RA] (2022). MSC: 16H05 11E39 13J30 16W10 × Cite Format Result Cite Full Text: arXiv OA License
Wallach, Nolan R. An evolution in six stages based on triality: a mathematical memoir. (English) Zbl 1495.22006 Int. J. Math. 32, No. 12, Article ID 2140005, 42 p. (2021). Reviewer: V. V. Gorbatsevich (Moskva) MSC: 22E45 22E46 22E30 12E15 16H05 17A35 17-02 22-02 17C40 53C30 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Junying; Guo, Xiaojiang Abundant semigroup algebras which are Azumaya. (English) Zbl 1508.20121 Semigroup Forum 103, No. 3, 879-887 (2021). MSC: 20M25 16H05 20M10 × Cite Format Result Cite Review PDF Full Text: DOI
Walton, Chelsea; Wang, Xingting; Yakimov, Milen Poisson geometry and representations of PI 4-dimensional Sklyanin algebras. (English) Zbl 1477.14007 Sel. Math., New Ser. 27, No. 5, Paper No. 99, 60 p. (2021). Reviewer: Mee Seong Im (Annapolis) MSC: 14A22 16G99 17B63 81S10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Malev, Sergey The images of noncommutative polynomials evaluated on the quaternion algebra. (English) Zbl 1473.16009 J. Algebra Appl. 20, No. 5, Article ID 2150074, 8 p. (2021). MSC: 16H05 14A22 16S36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Patra, Asim Fascinating number sequences from fourth order difference equation via quaternion algebras. (English) Zbl 1488.11047 Discuss. Math., Gen. Algebra Appl. 41, No. 2, 229-230 (2021). MSC: 11B39 11B83 16H05 × Cite Format Result Cite Review PDF Full Text: DOI
Ludkowski, S. V. Weakly separable algebras. (English) Zbl 1475.16025 Linear Multilinear Algebra 69, No. 7, 1236-1247 (2021). MSC: 16H05 46S10 46H25 × Cite Format Result Cite Review PDF Full Text: DOI
Peng, Deke; Xue, Jiangwei Optimal spinor selectivity for quaternion bass orders. (English) Zbl 1470.11300 J. Number Theory 226, 24-50 (2021). MSC: 11R52 11S45 16H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cigliola, Antonio; Spirito, Dario; Tartarone, Francesca Multiplicative properties of integer valued polynomials over split-quaternions. (English) Zbl 1480.16038 Commun. Algebra 49, No. 3, 1338-1351 (2021). MSC: 16H05 11R52 13F20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Gupta, Parul; Becher, Karim Johannes A ruled residue theorem for function fields of conics. (English) Zbl 1467.12010 J. Pure Appl. Algebra 225, No. 6, Article ID 106638, 13 p. (2021). MSC: 12J10 12F20 12J20 14H05 16H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dokuchaev, M.; Paques, A.; Pinedo, H.; Rocha, I. Partial generalized crossed products and a seven-term exact sequence. (English) Zbl 1469.13013 J. Algebra 572, 195-230 (2021). MSC: 13B05 13A50 16H05 16K50 16S35 16W22 20M18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pumplün, S. The automorphisms of generalized cyclic Azumaya algebras. (English) Zbl 1477.17039 J. Pure Appl. Algebra 225, No. 4, Article ID 106540, 17 p. (2021). MSC: 17A36 17A60 16S36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Voight, John Quaternion algebras. (English) Zbl 1481.11003 Graduate Texts in Mathematics 288. Cham: Springer (ISBN 978-3-030-56692-0/hbk; 978-3-030-57467-3/pbk; 978-3-030-56694-4/ebook). xxiii, 885 p., open access (2021). Reviewer: Adam Chapman (Tel Hai) MSC: 11-02 16-02 11E12 11F06 11R52 11S45 16H05 16U60 20H10 × Cite Format Result Cite Review PDF Full Text: DOI Backlinks: MO
First, Uriya A. On the non-neutral component of outer forms of the orthogonal group. (English) Zbl 1464.11043 J. Pure Appl. Algebra 225, No. 1, Article ID 106477, 5 p. (2021). Reviewer: Ben Williams (Vancouver) MSC: 11E57 11E39 14L15 16H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aljadeff, Eli; Giambruno, Antonio; Procesi, Claudio; Regev, Amitai Rings with polynomial identities and finite dimensional representations of algebras. (English) Zbl 1471.16001 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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Haile, Darrell; Rowen, Louis; Tignol, Jean-Pierre On quaternion algebras split by a given extension, Clifford algebras and hyperelliptic curves. (English) Zbl 1464.16012 Algebr. Represent. Theory 23, No. 4, 1807-1826 (2020). Reviewer: Danail Brezov (Sofia) MSC: 16H05 16K20 11E88 12F10 15A66 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Linhong; Wang, Xingting A note on generic Clifford algebras of binary cubic forms. (English) Zbl 1466.16013 Algebr. Represent. Theory 23, No. 4, 1797-1806 (2020). MSC: 16G30 16H05 11E88 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
Chari, Sara Metacommutation of primes in central simple algebras. (English) Zbl 1454.11205 J. Number Theory 206, 296-309 (2020). MSC: 11R52 11R54 16H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: Link
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
McCormick, Kathryn Matrix bundles and operator algebras over a finitely bordered Riemann surface. (English) Zbl 1480.47113 Complex Anal. Oper. Theory 13, No. 3, 659-671 (2019). MSC: 47L10 30H50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bitoun, Thomas On the \(p\)-supports of a holonomic \(\mathcal {D}\)-module. (English) Zbl 1442.14066 Invent. Math. 215, No. 3, 779-818 (2019). Reviewer: Alberto Castaño Domínguez (Sevilla) MSC: 14F10 13A35 14F22 14F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tabuada, Gonçalo; Van den Bergh, Michel Additive invariants of orbifolds. (English) Zbl 1397.14005 Geom. Topol. 22, No. 5, 3003-3048 (2018). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14A15 14A20 14A22 19D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF Full Text: Link
Horníček, Jan; Kureš, Miroslav; Macálková, Lenka Some properties of orders of quaternion algebras with regard to the discrete norm. (English) Zbl 1413.11127 Math. Bohem. 141, No. 3, 385-405 (2016). MSC: 11R52 16H05 16H20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Tabuada, Gonçalo; Van den Bergh, Michel Noncommutative motives of separable algebras. (English) Zbl 1378.16029 Adv. Math. 303, 1122-1161 (2016). MSC: 16H05 16K50 14M15 18D20 20C08 14A22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Xiaojiang Azumaya semigroup algebras. (English) Zbl 1357.20032 Bull. Malays. Math. Sci. Soc. (2) 39, No. 3, 993-1004 (2016). MSC: 20M25 16H05 × Cite Format Result Cite Review PDF Full Text: DOI
Tabuada, Gonçalo A note on secondary \(K\)-theory. (English) Zbl 1352.14007 Algebra Number Theory 10, No. 4, 887-906 (2016). Reviewer: Pieter Belmans (Antwerpen) MSC: 14C35 16E20 14F22 16H05 14A22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Travkin, Roman Quantum geometric Langlands correspondence in positive characteristic: the \(\mathrm{GL}_N\) case. (English) Zbl 1430.14029 Duke Math. J. 165, No. 7, 1283-1361 (2016). MSC: 14D24 14G17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Beil, Charlie Morita equivalences and Azumaya loci from Higgsing dimer algebras. (English) Zbl 1386.14011 J. Algebra 453, 429-455 (2016). MSC: 14A22 16G20 16R20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baek, Sanghoon Semiorthogonal decompositions for twisted Grassmannians. (English) Zbl 1342.14035 Proc. Am. Math. Soc. 144, No. 1, 1-5 (2016). Reviewer: N. Mohan Kumar (St. Louis) MSC: 14F05 18E30 14M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ojanguren, Manuel Wedderburn’s theorem for regular local rings. (English) Zbl 1357.16033 Doc. Math. Extra Vol., Alexander S. Merkurjev’s Sixtieth Birthday, 487-490 (2015). Reviewer: George Szeto (Peoria) MSC: 16H05 16L30 × Cite Format Result Cite Review PDF Full Text: EMIS
Lötscher, Roland Essential dimension of separable algebras embedding in a fixed central simple algebra. (English) Zbl 1355.16010 Doc. Math. Extra Vol., Alexander S. Merkurjev’s Sixtieth Birthday, 443-459 (2015). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 16H05 16W10 16K20 × Cite Format Result Cite Review PDF Full Text: EMIS
Auel, Asher; Parimala, R.; Suresh, V. Quadric surface bundles over surfaces. (English) Zbl 1345.14046 Doc. Math. Extra Vol., Alexander S. Merkurjev’s Sixtieth Birthday, 31-70 (2015). Reviewer: Uriya First (Vancouver) MSC: 14J60 11E88 14D06 14F22 14L35 15A66 16H05 × Cite Format Result Cite Review PDF Full Text: arXiv EMIS
Flaut, Cristina; Savin, Diana Quaternion algebras and generalized Fibonacci-Lucas quaternions. (English) Zbl 1342.11089 Adv. Appl. Clifford Algebr. 25, No. 4, 853-862 (2015). MSC: 11R52 11B39 16H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rizzardo, Alice; Van den Bergh, Michel Scalar extensions of derived categories and non-Fourier-Mukai functors. (English) Zbl 1333.13027 Adv. Math. 281, 1100-1144 (2015). Reviewer: Arvid Siqveland (Kongsberg) MSC: 13D09 18E30 14A22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chan, Daniel; Chan, Kenneth Rational curves and ruled orders on surfaces. (English) Zbl 1344.14003 J. Algebra 435, 52-87 (2015). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14A22 16S38 16H99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chapman, Adam; Kuo, Jung-Miao On the generalized Clifford algebra of a monic polynomial. (English) Zbl 1308.15022 Linear Algebra Appl. 471, 184-202 (2015). MSC: 15A66 16K20 11E76 16H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Johnson, Niles Azumaya objects in triangulated bicategories. (English) Zbl 1316.18013 J. Homotopy Relat. Struct. 9, No. 2, 465-493 (2014). Reviewer: Sinan Yalin (Luxembourg) MSC: 18E30 16K50 18D10 18D35 14F22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kwok, Stephen The geometry of \(\Pi\)-invertible sheaves. (English) Zbl 1322.14078 J. Geom. Phys. 86, 134-148 (2014). MSC: 14M30 58A50 14F05 16H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv