Sharma, Rajendra K.; Mittal, Gaurav On the unit group of a semisimple group algebra \(\mathbb{F}_qSL(2,\mathbb{Z}_5)\). (English) Zbl 07547237 Math. Bohem. 147, No. 1, 1-10 (2022). MSC: 16U60 20C05 PDF BibTeX XML Cite \textit{R. K. Sharma} and \textit{G. Mittal}, Math. Bohem. 147, No. 1, 1--10 (2022; Zbl 07547237) Full Text: DOI OpenURL
Sahai, Meena; Kumari, Parvesh; Sharma, R. K. Presentations of general linear groups with Jordan regular generators. (English) Zbl 07546733 Palest. J. Math. 11, No. 1, 162-175 (2022). MSC: 16U60 20G35 PDF BibTeX XML Cite \textit{M. Sahai} et al., Palest. J. Math. 11, No. 1, 162--175 (2022; Zbl 07546733) Full Text: Link OpenURL
Aouissi, Siham; Azizi, Abdelmalek; Ismaili, Moulay Chrif; Mayer, Daniel C.; Talbi, Mohamed Principal factors and lattice minima in cubic fields. (English) Zbl 07545408 Kyushu J. Math. 76, No. 1, 101-118 (2022). MSC: 11R11 11R16 11R20 11R27 11R29 11R37 PDF BibTeX XML Cite \textit{S. Aouissi} et al., Kyushu J. Math. 76, No. 1, 101--118 (2022; Zbl 07545408) Full Text: DOI OpenURL
Mittal, Gaurav; Sharma, R. K. Unit group of semisimple group algebras of some non-metabelian groups of order \(120\). (English) Zbl 07539570 Asian-Eur. J. Math. 15, No. 3, Article ID 2250059, 11 p. (2022). MSC: 16U60 16S34 20C05 PDF BibTeX XML Cite \textit{G. Mittal} and \textit{R. K. Sharma}, Asian-Eur. J. Math. 15, No. 3, Article ID 2250059, 11 p. (2022; Zbl 07539570) Full Text: DOI OpenURL
Bien, M. H.; Ramezan-Nassab, M. Additive mappings and identities on unit groups of algebraic algebras. (English) Zbl 07535799 J. Algebra Appl. 21, No. 6, Article ID 2250116, 9 p. (2022). MSC: 16R60 16S34 16U60 16W10 PDF BibTeX XML Cite \textit{M. H. Bien} and \textit{M. Ramezan-Nassab}, J. Algebra Appl. 21, No. 6, Article ID 2250116, 9 p. (2022; Zbl 07535799) Full Text: DOI OpenURL
Srivastava, Nikita; Chandra, Harish; Bhatt, Suchi The structure of the unit group of a group algebra of a group of order 37. (English) Zbl 07528034 South East Asian J. Math. Math. Sci. 18, No. 1, 85-96 (2022). MSC: 20C05 16S34 16U60 PDF BibTeX XML Cite \textit{N. Srivastava} et al., South East Asian J. Math. Math. Sci. 18, No. 1, 85--96 (2022; Zbl 07528034) Full Text: Link OpenURL
Bächle, Andreas; Janssens, Geoffrey; Jespers, Eric; Kiefer, Ann; Temmerman, Doryan A dichotomy for integral group rings via higher modular groups as amalgamated products. (English) Zbl 07526511 J. Algebra 604, 185-223 (2022). MSC: 20E06 20F05 16U60 20C05 20H25 PDF BibTeX XML Cite \textit{A. Bächle} et al., J. Algebra 604, 185--223 (2022; Zbl 07526511) Full Text: DOI OpenURL
Balogh, Zsolt Adam Unitary units of the group algebra of modular groups. (English) Zbl 07522546 J. Algebra Appl. 21, No. 2, Article ID 2250027, 7 p. (2022). Reviewer: Todor Mollov (Plovdiv) MSC: 16S34 16U60 PDF BibTeX XML Cite \textit{Z. A. Balogh}, J. Algebra Appl. 21, No. 2, Article ID 2250027, 7 p. (2022; Zbl 07522546) Full Text: DOI OpenURL
Craig, Will; Linnell, Peter A. Unique product groups and congruence subgroups. (English) Zbl 07522544 J. Algebra Appl. 21, No. 2, Article ID 2250025, 9 p. (2022). MSC: 20E18 16S34 16U60 20E18 PDF BibTeX XML Cite \textit{W. Craig} and \textit{P. A. Linnell}, J. Algebra Appl. 21, No. 2, Article ID 2250025, 9 p. (2022; Zbl 07522544) Full Text: DOI OpenURL
Chems-Eddin, Mohamed Mahmoud The rank of the 2-class group of some fields with large degree. (English) Zbl 07517008 Algebra Colloq. 29, No. 2, 181-188 (2022). MSC: 11R29 11R23 11R27 11R04 PDF BibTeX XML Cite \textit{M. M. Chems-Eddin}, Algebra Colloq. 29, No. 2, 181--188 (2022; Zbl 07517008) Full Text: DOI OpenURL
Chin, A. Y. M. A note on group rings with trivial units. (English) Zbl 07505697 Bull. Aust. Math. Soc. 105, No. 2, 243-247 (2022). MSC: 16S34 16U60 PDF BibTeX XML Cite \textit{A. Y. M. Chin}, Bull. Aust. Math. Soc. 105, No. 2, 243--247 (2022; Zbl 07505697) Full Text: DOI OpenURL
Azizi, Abdelmalek; Elmouhib, Fouad; Talbi, Mohamed 5-rank of ambiguous class groups of quintic Kummer extensions. (English) Zbl 07501849 Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 12, 14 p. (2022). MSC: 11R29 11R16 11R18 11R27 PDF BibTeX XML Cite \textit{A. Azizi} et al., Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 12, 14 p. (2022; Zbl 07501849) Full Text: DOI OpenURL
Tang, Gaohua; Zhou, Yiqiang Nil \(\mathcal{G} \)-cleanness and strongly nil \(\mathcal{G} \)-cleanness of rings. (English) Zbl 07495957 J. Algebra Appl. 21, No. 4, Article ID 2250077, 16 p. (2022). Reviewer: Simion Sorin Breaz (Cluj-Napoca) MSC: 16U99 16N20 16S50 16U60 PDF BibTeX XML Cite \textit{G. Tang} and \textit{Y. Zhou}, J. Algebra Appl. 21, No. 4, Article ID 2250077, 16 p. (2022; Zbl 07495957) Full Text: DOI OpenURL
Maheshwari, S.; Sharma, R. K. A note on units in \(\mathbb{F}_Q \operatorname{SL} (2, \mathbb{Z}_3)\). (English) Zbl 07491014 Ukr. Math. J. 73, No. 8, 1331-1337 (2022) and Ukr. Mat. Zh. 73, No. 8, 1147-1152 (2021). Reviewer: Andrei Marcus (Cluj-Napoca) MSC: 20C05 16S34 16U60 PDF BibTeX XML Cite \textit{S. Maheshwari} and \textit{R. K. Sharma}, Ukr. Math. J. 73, No. 8, 1331--1337 (2022; Zbl 07491014) Full Text: DOI OpenURL
Zhou, Yiqiang Generalized fine rings. (English) Zbl 07490541 J. Algebra Appl. 21, No. 3, Article ID 2250060, 9 p. (2022). MSC: 16S50 16U60 16U99 PDF BibTeX XML Cite \textit{Y. Zhou}, J. Algebra Appl. 21, No. 3, Article ID 2250060, 9 p. (2022; Zbl 07490541) Full Text: DOI OpenURL
Siddique, Feroz On two questions of Nicholson. (English) Zbl 07477344 Int. Electron. J. Algebra 31, 90-99 (2022). MSC: 16U60 16D50 PDF BibTeX XML Cite \textit{F. Siddique}, Int. Electron. J. Algebra 31, 90--99 (2022; Zbl 07477344) Full Text: DOI arXiv OpenURL
Setia, Himanshu; Khan, Manju The normal complement problem in group algebras. (English) Zbl 07469566 Commun. Algebra 50, No. 1, 287-291 (2022). MSC: 16U60 20C05 PDF BibTeX XML Cite \textit{H. Setia} and \textit{M. Khan}, Commun. Algebra 50, No. 1, 287--291 (2022; Zbl 07469566) Full Text: DOI OpenURL
Juhász, Tibor; Spinelli, Ernesto Group rings with metabelian unit groups. (English) Zbl 07461214 J. Pure Appl. Algebra 226, No. 6, Article ID 106946, 11 p. (2022). MSC: 16S34 16U60 PDF BibTeX XML Cite \textit{T. Juhász} and \textit{E. Spinelli}, J. Pure Appl. Algebra 226, No. 6, Article ID 106946, 11 p. (2022; Zbl 07461214) Full Text: DOI OpenURL
Lee, Jun Ho Relative class number one problem of real quadratic fields and continued fraction of \(\sqrt{m}\) with period 6. (English) Zbl 07546031 East Asian Math. J. 37, No. 5, 613-617 (2021). MSC: 11R11 11R65 PDF BibTeX XML Cite \textit{J. H. Lee}, East Asian Math. J. 37, No. 5, 613--617 (2021; Zbl 07546031) Full Text: DOI OpenURL
Li, Zhiqun; Su, Huadong The radius of unit graphs of rings. (English) Zbl 07536403 AIMS Math. 6, No. 10, 11508-11515 (2021). MSC: 16U60 05C25 PDF BibTeX XML Cite \textit{Z. Li} and \textit{H. Su}, AIMS Math. 6, No. 10, 11508--11515 (2021; Zbl 07536403) Full Text: DOI OpenURL
Bai, Yunpeng; Li, Yuanlin; Peng, Jiangtao Unit groups of finite group algebras of abelian groups of order 17 to 20. (English) Zbl 1484.16029 AIMS Math. 6, No. 7, 7305-7317 (2021). MSC: 16S34 16U60 20C05 PDF BibTeX XML Cite \textit{Y. Bai} et al., AIMS Math. 6, No. 7, 7305--7317 (2021; Zbl 1484.16029) Full Text: DOI OpenURL
Mittal, Gaurav; Sharma, Rajendra. K. On unit group of finite semisimple group algebras of non-metabelian groups of order 108. (English) Zbl 07497651 J. Algebra Comb. Discrete Struct. Appl. 8, No. 2, 59-71 (2021). Reviewer: Todor Mollov (Plovdiv) MSC: 16U60 16S34 20C05 PDF BibTeX XML Cite \textit{G. Mittal} and \textit{Rajendra. K. Sharma}, J. Algebra Comb. Discrete Struct. Appl. 8, No. 2, 59--71 (2021; Zbl 07497651) Full Text: DOI OpenURL
Bhatt, Suchi; Chandra, Harish Unit groups of group algebras of abelian groups of order 32. (English) Zbl 07494059 Proyecciones 40, No. 5, 1341-1356 (2021). MSC: 16S34 16U60 PDF BibTeX XML Cite \textit{S. Bhatt} and \textit{H. Chandra}, Proyecciones 40, No. 5, 1341--1356 (2021; Zbl 07494059) Full Text: DOI arXiv OpenURL
Ashja’, Ali; Iranmanesh, Ali The structure of unit gruop of \(\mathbb{F}_{3n} T_{39}\). (English) Zbl 07494029 Facta Univ., Ser. Math. Inf. 36, No. 4, 749-759 (2021). MSC: 16S34 20C05 16U60 PDF BibTeX XML Cite \textit{A. Ashja'} and \textit{A. Iranmanesh}, Facta Univ., Ser. Math. Inf. 36, No. 4, 749--759 (2021; Zbl 07494029) Full Text: DOI OpenURL
Sahai, Meena; Ansari, Sheere Farhat The structure of the unit group of the group algebra \(F(C_3\times D_{10})\). (English) Zbl 07493382 Ann. Math. Inform. 54, 73-82 (2021). MSC: 16U60 20C05 PDF BibTeX XML Cite \textit{M. Sahai} and \textit{S. F. Ansari}, Ann. Math. Inform. 54, 73--82 (2021; Zbl 07493382) Full Text: DOI arXiv OpenURL
Harmanci, A.; Kurtulmaz, Y.; Ungor, B. Duo property for rings by the quasinilpotent perspective. (English) Zbl 07482090 Carpathian Math. Publ. 13, No. 2, 485-500 (2021). MSC: 16U80 16U60 16N40 PDF BibTeX XML Cite \textit{A. Harmanci} et al., Carpathian Math. Publ. 13, No. 2, 485--500 (2021; Zbl 07482090) Full Text: DOI arXiv OpenURL
Şahinkaya, Serap; Quynh, Truong Cong Kernel stable and uniquely generated modules. (English) Zbl 07473679 Mathematica 63(86), No. 1, 119-127 (2021). MSC: 16U60 16U99 16E50 16L30 19A13 PDF BibTeX XML Cite \textit{S. Şahinkaya} and \textit{T. C. Quynh}, Mathematica 63(86), No. 1, 119--127 (2021; Zbl 07473679) Full Text: DOI OpenURL
Chen, Justin Surjections of unit groups and semi-inverses. (English) Zbl 1479.13002 J. Commut. Algebra 13, No. 3, 323-331 (2021). MSC: 13A15 13H99 16U60 PDF BibTeX XML Cite \textit{J. Chen}, J. Commut. Algebra 13, No. 3, 323--331 (2021; Zbl 1479.13002) Full Text: DOI arXiv Link OpenURL
Amini, Mostafa; Amiri, Mohsen Finite unitary rings with a single subgroup of prime order of the group of units. (English) Zbl 07464360 J. Algebra Appl. 20, No. 12, Article ID 2150234, 9 p. (2021). MSC: 16P10 16U60 PDF BibTeX XML Cite \textit{M. Amini} and \textit{M. Amiri}, J. Algebra Appl. 20, No. 12, Article ID 2150234, 9 p. (2021; Zbl 07464360) Full Text: DOI arXiv OpenURL
Karabacak, Fatih; Koşan, M. Tamer; Quynh, Truong Cong; Tai, Dinh Duc A generalization of UJ-rings. (English) Zbl 07464343 J. Algebra Appl. 20, No. 12, Article ID 2150217, 15 p. (2021). MSC: 16N20 16S34 16U60 PDF BibTeX XML Cite \textit{F. Karabacak} et al., J. Algebra Appl. 20, No. 12, Article ID 2150217, 15 p. (2021; Zbl 07464343) Full Text: DOI OpenURL
Broche, Osnel; del Río, Ángel The modular isomorphism problem for two generated groups of class two. (English) Zbl 07453735 Indian J. Pure Appl. Math. 52, No. 3, 721-728 (2021). Reviewer: Burkhard Külshammer (Jena) MSC: 16U60 16S34 20C05 20C10 PDF BibTeX XML Cite \textit{O. Broche} and \textit{Á. del Río}, Indian J. Pure Appl. Math. 52, No. 3, 721--728 (2021; Zbl 07453735) Full Text: DOI arXiv OpenURL
Maheshwary, Sugandha The lower central series of the unit group of an integral group ring. (English) Zbl 07453733 Indian J. Pure Appl. Math. 52, No. 3, 709-712 (2021). MSC: 16U60 16S34 20F14 PDF BibTeX XML Cite \textit{S. Maheshwary}, Indian J. Pure Appl. Math. 52, No. 3, 709--712 (2021; Zbl 07453733) Full Text: DOI arXiv OpenURL
Jespers, E. Structure of group rings and the group of units of integral group rings: an invitation. (English) Zbl 07453732 Indian J. Pure Appl. Math. 52, No. 3, 687-708 (2021). MSC: 16S34 16U40 16U60 20C05 PDF BibTeX XML Cite \textit{E. Jespers}, Indian J. Pure Appl. Math. 52, No. 3, 687--708 (2021; Zbl 07453732) Full Text: DOI arXiv OpenURL
Bächle, Andreas; Margolis, Leo From examples to methods: Two cases from the study of units in integral group rings. (English) Zbl 07453731 Indian J. Pure Appl. Math. 52, No. 3, 669-686 (2021). Reviewer: Peter Danchev (Sofia) MSC: 16U60 20C05 20C15 20C20 PDF BibTeX XML Cite \textit{A. Bächle} and \textit{L. Margolis}, Indian J. Pure Appl. Math. 52, No. 3, 669--686 (2021; Zbl 07453731) Full Text: DOI arXiv OpenURL
Kimmerle, Wolfgang; Köster, Iris On the determination of Sylow numbers. (English) Zbl 1485.16034 Indian J. Pure Appl. Math. 52, No. 3, 652-668 (2021). MSC: 16U60 20C10 16S34 PDF BibTeX XML Cite \textit{W. Kimmerle} and \textit{I. Köster}, Indian J. Pure Appl. Math. 52, No. 3, 652--668 (2021; Zbl 1485.16034) Full Text: DOI OpenURL
Herman, Allen A survey of semisimple algebras in algebraic combinatorics. (English) Zbl 1477.05190 Indian J. Pure Appl. Math. 52, No. 3, 631-642 (2021). MSC: 05E30 05E10 05E16 11S45 16G30 16S99 16U60 20C10 20C15 20C20 PDF BibTeX XML Cite \textit{A. Herman}, Indian J. Pure Appl. Math. 52, No. 3, 631--642 (2021; Zbl 1477.05190) Full Text: DOI OpenURL
Mittal, Gaurav; Sharma, Rajendra Kumar On unit group of finite semisimple group algebras of non-metabelian groups up to order 72. (English) Zbl 07442512 Math. Bohem. 146, No. 4, 429-455 (2021). MSC: 16U60 20C05 PDF BibTeX XML Cite \textit{G. Mittal} and \textit{R. K. Sharma}, Math. Bohem. 146, No. 4, 429--455 (2021; Zbl 07442512) Full Text: DOI OpenURL
Gardam, Giles A counterexample to the unit conjecture for group rings. (English) Zbl 07441740 Ann. Math. (2) 194, No. 3, 967-979 (2021). Reviewer: Leo Margolis (Brussel) MSC: 16S34 16U60 PDF BibTeX XML Cite \textit{G. Gardam}, Ann. Math. (2) 194, No. 3, 967--979 (2021; Zbl 07441740) Full Text: DOI arXiv OpenURL
Ramezan-Nassab, M.; Bien, M. H.; Akbari-Sehat, M. Algebras whose units satisfy a \(*\)-Laurent polynomial identity. (English) Zbl 07433919 Arch. Math. 117, No. 6, 617-630 (2021). MSC: 16R50 16S34 16U60 16W10 PDF BibTeX XML Cite \textit{M. Ramezan-Nassab} et al., Arch. Math. 117, No. 6, 617--630 (2021; Zbl 07433919) Full Text: DOI OpenURL
Abdollahi, Alireza; Mahdi Zanjanian, Soraya Quotients of Passman fours group and non-units of their group algebras. (English) Zbl 07431605 Bull. Iran. Math. Soc. 47, No. 6, 1827-1848 (2021). Reviewer: Leo Margolis (Brussel) MSC: 16S34 16U60 20C05 20C07 PDF BibTeX XML Cite \textit{A. Abdollahi} and \textit{S. Mahdi Zanjanian}, Bull. Iran. Math. Soc. 47, No. 6, 1827--1848 (2021; Zbl 07431605) Full Text: DOI OpenURL
Khurana, Dinesh; Nielsen, Pace P. Perspectivity and von Neumann regularity. (English) Zbl 07431312 Commun. Algebra 49, No. 12, 5483-5499 (2021). Reviewer: Kenneth R. Goodearl (Santa Barbara) MSC: 16D70 16E50 16U40 16U60 16U99 PDF BibTeX XML Cite \textit{D. Khurana} and \textit{P. P. Nielsen}, Commun. Algebra 49, No. 12, 5483--5499 (2021; Zbl 07431312) Full Text: DOI OpenURL
Călugăreanu, Grigore The nil-clean \(2\times 2\) integral units. (English) Zbl 07424367 Hacet. J. Math. Stat. 50, No. 1, 41-45 (2021). MSC: 16U10 16U60 11E16 PDF BibTeX XML Cite \textit{G. Călugăreanu}, Hacet. J. Math. Stat. 50, No. 1, 41--45 (2021; Zbl 07424367) Full Text: DOI OpenURL
Karthika, S.; Viji, M. Unit elements in the path algebra of an acyclic quiver. (English) Zbl 07422453 Indian J. Pure Appl. Math. 52, No. 1, 138-140 (2021). MSC: 16U60 16S99 PDF BibTeX XML Cite \textit{S. Karthika} and \textit{M. Viji}, Indian J. Pure Appl. Math. 52, No. 1, 138--140 (2021; Zbl 07422453) Full Text: DOI OpenURL
Zhou, Yiqiang Correction to: “Left uniquely generated elements in rings”. (English) Zbl 07415897 Commun. Algebra 49, No. 9, (I)-(II) (2021). MSC: 16U60 16E50 16U99 PDF BibTeX XML Cite \textit{Y. Zhou}, Commun. Algebra 49, No. 9, (I)-(II) (2021; Zbl 07415897) Full Text: DOI OpenURL
Garcia, Vitor Araujo; Ferraz, Raul Antonio Central units in some integral group rings. (English) Zbl 07415888 Commun. Algebra 49, No. 9, 4000-4015 (2021). MSC: 20C05 PDF BibTeX XML Cite \textit{V. A. Garcia} and \textit{R. A. Ferraz}, Commun. Algebra 49, No. 9, 4000--4015 (2021; Zbl 07415888) Full Text: DOI OpenURL
Zhou, Yiqiang Left uniquely generated elements in rings. (English) Zbl 1485.16035 Commun. Algebra 49, No. 9, 3825-3836 (2021); correction ibid. 49, No. 9, (I)-(II) (2021). Reviewer: Grigore Călugăreanu (Cluj-Napoca) MSC: 16U60 16E50 16U99 PDF BibTeX XML Cite \textit{Y. Zhou}, Commun. Algebra 49, No. 9, 3825--3836 (2021; Zbl 1485.16035) Full Text: DOI OpenURL
Bien, M. H.; Ramezan-Nassab, M.; Viet, D. H. \(\ast\)-Group identities on units of division rings. (English) Zbl 07409833 Commun. Algebra 49, No. 7, 3010-3019 (2021). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 16K40 16R50 16U60 16W10 PDF BibTeX XML Cite \textit{M. H. Bien} et al., Commun. Algebra 49, No. 7, 3010--3019 (2021; Zbl 07409833) Full Text: DOI OpenURL
Rączka, Feliks On free products inside the unit group of integral group rings. (English) Zbl 1480.16042 Commun. Algebra 49, No. 8, 3301-3309 (2021). Reviewer: Peter Danchev (Sofia) MSC: 16S34 16U60 PDF BibTeX XML Cite \textit{F. Rączka}, Commun. Algebra 49, No. 8, 3301--3309 (2021; Zbl 1480.16042) Full Text: DOI OpenURL
Ying, Zhiling; Zhang, Jing; Hu, Guolei; Zhou, Hua Characterizations of uniquely clean elements. (Chinese. English summary) Zbl 07404134 J. Shandong Univ., Nat. Sci. 56, No. 4, 20-24 (2021). MSC: 16U99 16U60 PDF BibTeX XML Cite \textit{Z. Ying} et al., J. Shandong Univ., Nat. Sci. 56, No. 4, 20--24 (2021; Zbl 07404134) Full Text: DOI OpenURL
Bächle, Andreas; Maheshwary, Sugandha; Margolis, Leo Abelianization of the unit group of an integral group ring. (English) Zbl 07390394 Pac. J. Math. 312, No. 2, 309-334 (2021). MSC: 16U60 20C05 20F14 PDF BibTeX XML Cite \textit{A. Bächle} et al., Pac. J. Math. 312, No. 2, 309--334 (2021; Zbl 07390394) Full Text: DOI arXiv OpenURL
Caicedo, Mauricio; Margolis, Leo Orders of units in integral group rings and blocks of defect 1. (English) Zbl 07381846 J. Lond. Math. Soc., II. Ser. 103, No. 4, 1515-1546 (2021). MSC: 16U60 20C05 20C20 05E10 PDF BibTeX XML Cite \textit{M. Caicedo} and \textit{L. Margolis}, J. Lond. Math. Soc., II. Ser. 103, No. 4, 1515--1546 (2021; Zbl 07381846) Full Text: DOI arXiv OpenURL
Koşan, M. Tamer; Zhou, Yiqiang A class of rings with the 2-sum property. (English) Zbl 1470.16039 Appl. Algebra Eng. Commun. Comput. 32, No. 3, 399-408 (2021). MSC: 16L30 16U60 PDF BibTeX XML Cite \textit{M. T. Koşan} and \textit{Y. Zhou}, Appl. Algebra Eng. Commun. Comput. 32, No. 3, 399--408 (2021; Zbl 1470.16039) Full Text: DOI OpenURL
Koşan, M. Tamer; Quynh, Truong Cong Rings whose (proper) cyclic modules have cyclic automorphism-invariant hulls. (English) Zbl 1483.16015 Appl. Algebra Eng. Commun. Comput. 32, No. 3, 385-397 (2021). Reviewer: Jae Keol Park (Pusan) MSC: 16E50 16L30 16U60 PDF BibTeX XML Cite \textit{M. T. Koşan} and \textit{T. C. Quynh}, Appl. Algebra Eng. Commun. Comput. 32, No. 3, 385--397 (2021; Zbl 1483.16015) Full Text: DOI OpenURL
Balogh, Zsolt Adam On unitary subgroups of group algebras. (English) Zbl 1477.16031 Int. Electron. J. Algebra 29, 187-198 (2021). Reviewer: Peter Danchev (Sofia) MSC: 16S34 16U60 PDF BibTeX XML Cite \textit{Z. A. Balogh}, Int. Electron. J. Algebra 29, 187--198 (2021; Zbl 1477.16031) Full Text: arXiv Link OpenURL
Sahai, Meena; Ansari, Sheere Farhat The group of units of group algebras of groups \(D_{30}\) and \(C_3\times D_{10}\) over a finite field of characteristic 3. (English) Zbl 07376987 Int. Electron. J. Algebra 29, 165-174 (2021). Reviewer: Todor Mollov (Plovdiv) MSC: 16U60 16S34 PDF BibTeX XML Cite \textit{M. Sahai} and \textit{S. F. Ansari}, Int. Electron. J. Algebra 29, 165--174 (2021; Zbl 07376987) Full Text: Link OpenURL
Horoub, Ayman M. A.; Nicholson, W. K. \(\mathcal{L}\)-stable rings. (English) Zbl 1482.16002 Int. Electron. J. Algebra 29, 63-94 (2021). MSC: 16D25 16E50 16U60 PDF BibTeX XML Cite \textit{A. M. A. Horoub} and \textit{W. K. Nicholson}, Int. Electron. J. Algebra 29, 63--94 (2021; Zbl 1482.16002) Full Text: Link OpenURL
Bhatt, Suchi; Chandra, Harish Structure of unit group of \(F_{p^n}D_{60}\). (English) Zbl 1478.20002 Asian-Eur. J. Math. 14, No. 5, Article ID 2150075, 9 p. (2021). Reviewer: Leo Margolis (Brussel) MSC: 20C05 16U60 16S34 PDF BibTeX XML Cite \textit{S. Bhatt} and \textit{H. Chandra}, Asian-Eur. J. Math. 14, No. 5, Article ID 2150075, 9 p. (2021; Zbl 1478.20002) Full Text: DOI OpenURL
Bouc, Serge A functorial presentation of units of Burnside rings. (English) Zbl 1466.19001 Result. Math. 76, No. 2, Paper No. 58, 25 p. (2021). Reviewer: Nadia Mazza (Lancaster) MSC: 19A22 16U60 20J15 PDF BibTeX XML Cite \textit{S. Bouc}, Result. Math. 76, No. 2, Paper No. 58, 25 p. (2021; Zbl 1466.19001) Full Text: DOI arXiv OpenURL
Amiri, Mohsen; Amini, Mostafa Finite unitary ring with minimal non-nilpotent group of units. (English) Zbl 1482.16032 J. Algebra Appl. 20, No. 6, Article ID 2150108, 8 p. (2021). Reviewer: Hasan Shlaka (Kufa) MSC: 16P10 16U60 20D15 PDF BibTeX XML Cite \textit{M. Amiri} and \textit{M. Amini}, J. Algebra Appl. 20, No. 6, Article ID 2150108, 8 p. (2021; Zbl 1482.16032) Full Text: DOI arXiv OpenURL
Schönnenbeck, Sebastian Computing \(S\)-unit groups of orders. (English) Zbl 07362803 Int. J. Number Theory 17, No. 5, 1243-1263 (2021). MSC: 20E42 20G25 20G30 20H10 16U60 PDF BibTeX XML Cite \textit{S. Schönnenbeck}, Int. J. Number Theory 17, No. 5, 1243--1263 (2021; Zbl 07362803) Full Text: DOI arXiv OpenURL
Shumakova, Ekaterina Olegovna Groups of central units of rank 1 of integral group rings of Frobenius metacyclic groups. (English) Zbl 1482.16036 Sib. Èlektron. Mat. Izv. 18, No. 1, 622-639 (2021). Reviewer: Todor Mollov (Plovdiv) MSC: 16S34 16U60 PDF BibTeX XML Cite \textit{E. O. Shumakova}, Sib. Èlektron. Mat. Izv. 18, No. 1, 622--639 (2021; Zbl 1482.16036) Full Text: DOI OpenURL
Kitani, Patricia Massae; Sano, Mari Trinomial coefficients, Fibonacci numbers and units of the group \(\mathcal{U}(\mathbb{Z} C_p)\). (English) Zbl 1473.16030 Discrete Math. 344, No. 7, Article ID 112415, 9 p. (2021). Reviewer: Peter Danchev (Sofia) MSC: 16U60 16S34 20C05 11B65 11B39 PDF BibTeX XML Cite \textit{P. M. Kitani} and \textit{M. Sano}, Discrete Math. 344, No. 7, Article ID 112415, 9 p. (2021; Zbl 1473.16030) Full Text: DOI OpenURL
Koşan, M. Tamer; Žemlička, Jan Group rings that are UJ rings. (English) Zbl 1476.16024 Commun. Algebra 49, No. 6, 2370-2377 (2021). Reviewer: Peter Danchev (Sofia) MSC: 16S34 16U60 16N20 PDF BibTeX XML Cite \textit{M. T. Koşan} and \textit{J. Žemlička}, Commun. Algebra 49, No. 6, 2370--2377 (2021; Zbl 1476.16024) Full Text: DOI OpenURL
Klingler, L.; Loper, K. A.; McGovern, W. Wm.; Toeniskoetter, M. Semi-clean group rings. (English) Zbl 1462.16025 J. Pure Appl. Algebra 225, No. 11, Article ID 106744, 5 p. (2021). MSC: 16S34 16U60 PDF BibTeX XML Cite \textit{L. Klingler} et al., J. Pure Appl. Algebra 225, No. 11, Article ID 106744, 5 p. (2021; Zbl 1462.16025) Full Text: DOI OpenURL
Danchev, P. V. On the idempotent and nilpotent sum numbers of matrices over certain indecomposable rings and related concepts. (English) Zbl 1466.15020 Mat. Stud. 55, No. 1, 24-32 (2021). Reviewer: John D. Dixon (Ottawa) MSC: 15A54 15B33 16E50 16S34 16U60 PDF BibTeX XML Cite \textit{P. V. Danchev}, Mat. Stud. 55, No. 1, 24--32 (2021; Zbl 1466.15020) Full Text: DOI OpenURL
Zabavsky, B. V.; Domsha, O. V.; Romaniv, O. M. Clear rings and clear elements. (English) Zbl 1473.16031 Mat. Stud. 55, No. 1, 3-9 (2021). MSC: 16U99 16U60 13F99 16E50 19B10 PDF BibTeX XML Cite \textit{B. V. Zabavsky} et al., Mat. Stud. 55, No. 1, 3--9 (2021; Zbl 1473.16031) Full Text: DOI OpenURL
Cîmpean, A.; Danchev, P. \(n\)-torsion clean and almost \(n\)-torsion clean matrix rings. (English. Russian original) Zbl 1476.16037 Russ. Math. 65, No. 1, 47-56 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 1, 52-63 (2021). Reviewer: Grigore Călugăreanu (Cluj-Napoca) MSC: 16U40 16U60 15B33 PDF BibTeX XML Cite \textit{A. Cîmpean} and \textit{P. Danchev}, Russ. Math. 65, No. 1, 47--56 (2021; Zbl 1476.16037); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 1, 52--63 (2021) Full Text: DOI arXiv OpenURL
Chems-Eddin, Mohamed Mahmoud; Azizi, Abdelmalek; Zekhnini, Abdelkader Unit groups and Iwasawa lambda invariants of some multiquadratic number fields. (English) Zbl 1468.11223 Bol. Soc. Mat. Mex., III. Ser. 27, No. 1, Paper No. 24, 16 p. (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R20 11R04 11R23 11R27 11R29 PDF BibTeX XML Cite \textit{M. M. Chems-Eddin} et al., Bol. Soc. Mat. Mex., III. Ser. 27, No. 1, Paper No. 24, 16 p. (2021; Zbl 1468.11223) Full Text: DOI OpenURL
Dobbs, David E.; Jarboui, Noômen Characterizing finite Boolean rings by using finite chains of subrings. (English) Zbl 1479.16019 Gulf J. Math. 10, No. 1, 69-94 (2021). MSC: 16P70 16B99 16U60 13M05 PDF BibTeX XML Cite \textit{D. E. Dobbs} and \textit{N. Jarboui}, Gulf J. Math. 10, No. 1, 69--94 (2021; Zbl 1479.16019) OpenURL
Jespers, Eric; Sun, Wei-Liang Nilpotent decomposition in integral group rings. (English) Zbl 1473.16022 J. Algebra 575, 127-158 (2021). Reviewer: Todor Mollov (Plovdiv) MSC: 16S34 16U60 PDF BibTeX XML Cite \textit{E. Jespers} and \textit{W.-L. Sun}, J. Algebra 575, 127--158 (2021; Zbl 1473.16022) Full Text: DOI arXiv OpenURL
Voight, John Quaternion algebras. (English) Zbl 1481.11003 Graduate Texts in Mathematics 288. Cham: Springer (ISBN 978-3-030-56692-0/hbk; 978-3-030-56694-4/ebook). xxiii, 885 p., open access (2021). Reviewer: Adam Chapman (Tel Hai) MSC: 11-02 16-02 11E12 11F06 11R52 11S45 16H05 16U60 20H10 PDF BibTeX XML Cite \textit{J. Voight}, Quaternion algebras. Cham: Springer (2021; Zbl 1481.11003) Full Text: DOI Backlinks: MO OpenURL
Bayad, Abdelmejid; Seddik, Mohammed Index, the prime ideal factorization in simplest quartic fields and counting their discriminants. (English) Zbl 07539069 Filomat 34, No. 2, 591-600 (2020). MSC: 11R04 11R16 11R27 11R29 11R42 PDF BibTeX XML Cite \textit{A. Bayad} and \textit{M. Seddik}, Filomat 34, No. 2, 591--600 (2020; Zbl 07539069) Full Text: DOI OpenURL
Călugřeanu, Grigore; Pop, Horia F. Trace 1, \(2 \times 2\) matrices over principal ideal domains are exchange. (English) Zbl 07445689 Carpathian J. Math. 36, No. 3, 391-399 (2020). MSC: 16U10 16U60 11D04 11D09 15B36 PDF BibTeX XML Cite \textit{G. Călugřeanu} and \textit{H. F. Pop}, Carpathian J. Math. 36, No. 3, 391--399 (2020; Zbl 07445689) Full Text: DOI OpenURL
Ashja’, Ali; Iranmanesh, Ali The structure of unit group of \(\mathbb{F}_{2^n} D_{14}\). (English) Zbl 1484.16028 J. Math. Ext. 14, No. 4, 113-122 (2020). MSC: 16S34 20C05 16U60 PDF BibTeX XML Cite \textit{A. Ashja'} and \textit{A. Iranmanesh}, J. Math. Ext. 14, No. 4, 113--122 (2020; Zbl 1484.16028) Full Text: Link OpenURL
Koşan, M. Tamer; Quynh, Truong Cong; Yildirim, Tülay; Žemlička, Jan Rings such that, for each unit \(u\), \(u-u^n\) belongs to the Jacobson radical. (English) Zbl 07421599 Hacet. J. Math. Stat. 49, No. 4, 1397-1404 (2020). MSC: 16N20 16D60 16U60 16W10 PDF BibTeX XML Cite \textit{M. T. Koşan} et al., Hacet. J. Math. Stat. 49, No. 4, 1397--1404 (2020; Zbl 07421599) Full Text: DOI OpenURL
Călugăreanu, Grigore; Pop, Horia F. Jacobson’s Lemma fails for nil-clean \(2\times 2\) integral matrices. (English) Zbl 07376177 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 28, No. 3, 83-88 (2020). MSC: 16U10 16U60 15B36 PDF BibTeX XML Cite \textit{G. Călugăreanu} and \textit{H. F. Pop}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 28, No. 3, 83--88 (2020; Zbl 07376177) Full Text: DOI OpenURL
Pal, Pavel; Gupta, Sugato; Mukherjee, Rajlaxmi; Sardar, Sujit Kumar Isomorphisms of some lattices obtained from Morita context of semigroups using fuzzy notions. (English) Zbl 1474.20109 Southeast Asian Bull. Math. 44, No. 5, 703-718 (2020). MSC: 20M10 20N25 20M30 20M50 16D90 PDF BibTeX XML Cite \textit{P. Pal} et al., Southeast Asian Bull. Math. 44, No. 5, 703--718 (2020; Zbl 1474.20109) OpenURL
Samiei, Mahdi Commutative rings whose proper homomorphic images are nil clean. (English) Zbl 1477.16039 Novi Sad J. Math. 50, No. 1, 37-44 (2020). MSC: 16U60 16N40 16E50 PDF BibTeX XML Cite \textit{M. Samiei}, Novi Sad J. Math. 50, No. 1, 37--44 (2020; Zbl 1477.16039) Full Text: DOI OpenURL
Nguyen-Duy, Khoi Minh On Engel quasi-normal subgroup in division rings with uncountable center. (English) Zbl 1467.16039 Commun. Korean Math. Soc. 35, No. 4, 1087-1093 (2020). Reviewer: Peter Danchev (Sofia) MSC: 16U60 16K40 16S32 20F45 PDF BibTeX XML Cite \textit{K. M. Nguyen-Duy}, Commun. Korean Math. Soc. 35, No. 4, 1087--1093 (2020; Zbl 1467.16039) Full Text: DOI OpenURL
Anil Kumar, C. P. On the surjectivity of certain maps. II: For generalized projective spaces. (English) Zbl 1455.11149 J. Ramanujan Math. Soc. 35, No. 3, 241-262 (2020). MSC: 11R27 13F05 13A15 11B25 16U60 11D79 51N30 PDF BibTeX XML Cite \textit{C. P. Anil Kumar}, J. Ramanujan Math. Soc. 35, No. 3, 241--262 (2020; Zbl 1455.11149) Full Text: arXiv Link OpenURL
Sahai, M.; Ansari, S. F. Unit groups of group algebras of certain dihedral groups. (English) Zbl 1484.16044 Malays. J. Math. Sci. 14, No. 3, 419-436 (2020). MSC: 16U60 20C05 16S34 PDF BibTeX XML Cite \textit{M. Sahai} and \textit{S. F. Ansari}, Malays. J. Math. Sci. 14, No. 3, 419--436 (2020; Zbl 1484.16044) Full Text: Link OpenURL
Caro-Reyes, Jerson; Mantilla-Soler, Guillermo Unit groups of quotients of number fields. (English) Zbl 1475.11195 Commun. Korean Math. Soc. 35, No. 2, 481-486 (2020). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R21 11R27 PDF BibTeX XML Cite \textit{J. Caro-Reyes} and \textit{G. Mantilla-Soler}, Commun. Korean Math. Soc. 35, No. 2, 481--486 (2020; Zbl 1475.11195) Full Text: DOI OpenURL
El Maalmi, Mourad; Mouanis, Hakima On \(g(x)\)-invo clean rings. (English) Zbl 1454.16041 Commun. Korean Math. Soc. 35, No. 2, 455-468 (2020). MSC: 16U60 16D60 16S50 PDF BibTeX XML Cite \textit{M. El Maalmi} and \textit{H. Mouanis}, Commun. Korean Math. Soc. 35, No. 2, 455--468 (2020; Zbl 1454.16041) Full Text: DOI OpenURL
Balogh, Zs. The structure of the unit group of some group algebras. (English) Zbl 1474.16060 Miskolc Math. Notes 21, No. 2, 615-620 (2020). MSC: 16S34 16U60 PDF BibTeX XML Cite \textit{Zs. Balogh}, Miskolc Math. Notes 21, No. 2, 615--620 (2020; Zbl 1474.16060) Full Text: DOI OpenURL
Lenstra, Hendrik W. The unit theorem for finite-dimensional algebras. (English) Zbl 1464.16034 Expo. Math. 38, No. 3, 285-302 (2020). Reviewer: Peter Danchev (Sofia) MSC: 16U60 05E16 PDF BibTeX XML Cite \textit{H. W. Lenstra}, Expo. Math. 38, No. 3, 285--302 (2020; Zbl 1464.16034) Full Text: DOI arXiv OpenURL
Liu, Dajun; Wei, Jiaqun On \(S\)-exchange rings. (English) Zbl 1455.16031 Bull. Korean Math. Soc. 57, No. 4, 945-956 (2020). MSC: 16U40 16E50 16U60 16D70 18G80 18G35 PDF BibTeX XML Cite \textit{D. Liu} and \textit{J. Wei}, Bull. Korean Math. Soc. 57, No. 4, 945--956 (2020; Zbl 1455.16031) Full Text: DOI OpenURL
Aouissi, S.; Mayer, D. C.; Ismaili, M. C.; Talbi, M.; Azizi, A. 3-rank of ambiguous class groups of cubic Kummer extensions. (English) Zbl 1474.11186 Period. Math. Hung. 81, No. 2, 250-274 (2020). MSC: 11R11 11R16 11R20 11R27 11R29 11R37 PDF BibTeX XML Cite \textit{S. Aouissi} et al., Period. Math. Hung. 81, No. 2, 250--274 (2020; Zbl 1474.11186) Full Text: DOI arXiv OpenURL
Balogh, Zsolt; Bovdi, Victor The isomorphism problem of unitary subgroups of modular group algebras. (English) Zbl 1463.16060 Publ. Math. 97, No. 1-2, 27-39 (2020). Reviewer: Todor Mollov (Plovdiv) MSC: 16U60 20D15 20C05 16S34 PDF BibTeX XML Cite \textit{Z. Balogh} and \textit{V. Bovdi}, Publ. Math. 97, No. 1--2, 27--39 (2020; Zbl 1463.16060) Full Text: DOI OpenURL
Koşan, M. Tamer; Quynh, Truong Cong; Žemlička, Jan UNJ-rings. (English) Zbl 1461.16022 J. Algebra Appl. 19, No. 9, Article ID 2050170, 11 p. (2020). Reviewer: Mohd Arif Raza (Rabigh) MSC: 16N20 16D60 16U60 16W10 PDF BibTeX XML Cite \textit{M. T. Koşan} et al., J. Algebra Appl. 19, No. 9, Article ID 2050170, 11 p. (2020; Zbl 1461.16022) Full Text: DOI OpenURL
Li, Yu; Su, Huadong; Tang, Gaohua; Zhou, Yiqiang Notes on rings with strong 2-sum property. (English) Zbl 1467.16019 Algebra Colloq. 27, No. 4, 821-830 (2020). Reviewer: Todor Mollov (Plovdiv) MSC: 16L30 16S50 16U60 PDF BibTeX XML Cite \textit{Y. Li} et al., Algebra Colloq. 27, No. 4, 821--830 (2020; Zbl 1467.16019) Full Text: DOI OpenURL
Oda, Fumihito; Takegahara, Yugen; Yoshida, Tomoyuki Lattice Burnside rings. (English) Zbl 1455.19002 Algebra Univers. 81, No. 4, Paper No. 53, 31 p. (2020). MSC: 19A22 20C05 16U40 16U60 PDF BibTeX XML Cite \textit{F. Oda} et al., Algebra Univers. 81, No. 4, Paper No. 53, 31 p. (2020; Zbl 1455.19002) Full Text: DOI arXiv OpenURL
Anderson, D. D.; Danchev, P. V. A note on a theorem of Jacobson related to periodic rings. (English) Zbl 1467.16040 Proc. Am. Math. Soc. 148, No. 12, 5087-5089 (2020). Reviewer: Leo Margolis (Brussel) MSC: 16U80 16S34 16U60 PDF BibTeX XML Cite \textit{D. D. Anderson} and \textit{P. V. Danchev}, Proc. Am. Math. Soc. 148, No. 12, 5087--5089 (2020; Zbl 1467.16040) Full Text: DOI OpenURL
Dobbs, David E.; Jarboui, Noômen Associative rings in which 1 is the only unit. (English) Zbl 1455.16033 Palest. J. Math. 9, No. 2, 604-619 (2020). MSC: 16U60 13A15 PDF BibTeX XML Cite \textit{D. E. Dobbs} and \textit{N. Jarboui}, Palest. J. Math. 9, No. 2, 604--619 (2020; Zbl 1455.16033) Full Text: Link OpenURL
Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader; Azizi, Abdelmalek Units and 2-class field towers of some multiquadratic number fields. (English) Zbl 1455.11140 Turk. J. Math. 44, No. 4, 1466-1483 (2020). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R04 11R11 11R27 11R29 11R39 PDF BibTeX XML Cite \textit{M. M. Chems-Eddin} et al., Turk. J. Math. 44, No. 4, 1466--1483 (2020; Zbl 1455.11140) Full Text: DOI arXiv OpenURL
Kim, Hong Kee; Kwak, Tai Keun; Lee, Yang; Seo, Yeonsook Rings which satisfy the property of inserting regular elements at zero products. (English) Zbl 1455.16034 Kyungpook Math. J. 60, No. 2, 307-318 (2020). MSC: 16U60 16U80 PDF BibTeX XML Cite \textit{H. K. Kim} et al., Kyungpook Math. J. 60, No. 2, 307--318 (2020; Zbl 1455.16034) Full Text: DOI OpenURL
Karabacak, Fatih; Koşan, M. Tamer; Quynh, T. Cong; Tai, D. Duc; Taşdemir, Özgür On NCS modules and rings. (English) Zbl 1471.16008 Commun. Algebra 48, No. 12, 5236-5246 (2020). Reviewer: Zoltán Halasi (Budapest) MSC: 16D80 16N20 16U60 16W10 PDF BibTeX XML Cite \textit{F. Karabacak} et al., Commun. Algebra 48, No. 12, 5236--5246 (2020; Zbl 1471.16008) Full Text: DOI OpenURL
Hamidizadeh, Maryam; Hashemi, Ebrahim; Reyes, Armando A classification of ring elements in skew PBW extensions over compatible rings. (English) Zbl 1460.16028 Int. Electron. J. Algebra 28, 75-97 (2020). MSC: 16S36 16U60 16S38 16S15 16S80 PDF BibTeX XML Cite \textit{M. Hamidizadeh} et al., Int. Electron. J. Algebra 28, 75--97 (2020; Zbl 1460.16028) Full Text: Link OpenURL
Danchev, P. Commutative periodic group rings. (English) Zbl 1469.16051 Mat. Stud. 53, No. 2, 218-220 (2020). Reviewer: Jebrel M. Habeb (Irbid) MSC: 16S34 16U60 20C07 PDF BibTeX XML Cite \textit{P. Danchev}, Mat. Stud. 53, No. 2, 218--220 (2020; Zbl 1469.16051) Full Text: DOI OpenURL
Barsotti, Jamison Orthogonal units of the double Burnside ring. (English) Zbl 1464.16033 Algebr. Represent. Theory 23, No. 4, 1683-1705 (2020). Reviewer: Peter Danchev (Sofia) MSC: 16U60 16W10 19A22 PDF BibTeX XML Cite \textit{J. Barsotti}, Algebr. Represent. Theory 23, No. 4, 1683--1705 (2020; Zbl 1464.16033) Full Text: DOI arXiv OpenURL
Kaur, Surinder; Khan, Manju The normal complement problem and the structure of the unitary subgroup. (English) Zbl 1452.16035 Commun. Algebra 48, No. 8, 3628-3636 (2020). Reviewer: Peter Danchev (Sofia) MSC: 16U60 20C05 20E45 PDF BibTeX XML Cite \textit{S. Kaur} and \textit{M. Khan}, Commun. Algebra 48, No. 8, 3628--3636 (2020; Zbl 1452.16035) Full Text: DOI OpenURL