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16U60 Units, groups of units (29 articles)

• Abhilash, Navamanirajan; Nandakumar, Elumalai; Sharma, Rajendra Kumar; Mittal, Gaurav: Structure of the unit group of the group algebras of non-metabelian groups of order 128. (English). Mathematica Bohemica, vol. 150 (2025), issue 1, pp. 1-23
• Mittal, Gaurav; Sharma, Rajendra Kumar: The unit groups of semisimple group algebras of some non-metabelian groups of order $144$. (English). Mathematica Bohemica, vol. 148 (2023), issue 4, pp. 631-646
• Chen, Huanyin; Sheibani, Marjan; Bahmani, Rahman: Certain additive decompositions in a noncommutative ring. (English). Czechoslovak Mathematical Journal, vol. 72 (2022), issue 4, pp. 1217-1226
• Sharma, Rajendra K.; Mittal, Gaurav: On the unit group of a semisimple group algebra $\mathbb {F}_qSL(2, \mathbb {Z}_5)$. (English). Mathematica Bohemica, vol. 147 (2022), issue 1, pp. 1-10
• Mittal, Gaurav; Sharma, Rajendra Kumar: On unit group of finite semisimple group algebras of non-metabelian groups up to order 72. (English). Mathematica Bohemica, vol. 146 (2021), issue 4, pp. 429-455
• Wu, Yansheng; Tang, Gaohua; Deng, Guixin; Zhou, Yiqiang: Nil-clean and unit-regular elements in certain subrings of ${\mathbb M}_2(\mathbb Z)$. (English). Czechoslovak Mathematical Journal, vol. 69 (2019), issue 1, pp. 197-205
• Bovdi, Victor; Salim, Mohammed: Group algebras whose groups of normalized units have exponent 4. (English). Czechoslovak Mathematical Journal, vol. 68 (2018), issue 1, pp. 141-148
• Chaudhuri, Dishari; Saikia, Anupam: On the derived length of units in group algebra. (English). Czechoslovak Mathematical Journal, vol. 67 (2017), issue 3, pp. 855-865
• Gildea, Joe: Torsion units for some almost simple groups. (English). Czechoslovak Mathematical Journal, vol. 66 (2016), issue 2, pp. 561-574
• Tang, Gaohua; Wei, Yangjiang; Li, Yuanlin: Unit groups of group algebras of some small groups. (English). Czechoslovak Mathematical Journal, vol. 64 (2014), issue 1, pp. 149-157
• Danchev, Peter: $G$-nilpotent units of commutative group rings. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 53 (2012), issue 2, pp. 179-187
• Salim, Mohamed A.; Tripe, Adela: Idempotents and the multiplicative group of some totally bounded rings. (English). Czechoslovak Mathematical Journal, vol. 61 (2011), issue 2, pp. 509-519
• Gildea, Joe: The structure of the unit group of the group algebra $\mathbb {F}_{2^k}A_4$. (English). Czechoslovak Mathematical Journal, vol. 61 (2011), issue 2, pp. 531-539
• Chen, Huanyin: Exchange rings in which all regular elements are one-sided unit-regular. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 4, pp. 899-910
• Bashkirov, Evgenii L.: On groups of similitudes in associative rings. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 49 (2008), issue 4, pp. 525-531
• Danchev, Peter: Basic subgroups in modular abelian group algebras. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 1, pp. 173-182
• Chen, Huanyin: Diagonal reductions of matrices over exchange ideals. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 1, pp. 9-18
• Danchev, P. V.: Direct decompositions and basic subgroups in commutative group rings. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 45 (2006), issue 1, pp. 53-56
• Danchev, Peter: Isomorphism of commutative group algebras of $p$-mixed splitting groups over rings of characteristic zero. (English). Mathematica Bohemica, vol. 131 (2006), issue 1, pp. 85-93
• Chen, Huanyin; Chen, Miaosen: Extensions of $GM$-rings. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 2, pp. 273-281
• Mollov, Todor Zh.; Nachev, Nako A.: On commutative twisted group rings. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 2, pp. 371-392
• Danchev, Peter V.: Subgroups of the basic subgroup in a modular group ring. (English). Mathematica Slovaca, vol. 55 (2005), issue 4, pp. 431-441
• Danchev, Peter V.: Basic subgroups in commutative modular group rings. (English). Mathematica Bohemica, vol. 129 (2004), issue 1, pp. 79-90
• Danchev, Peter: Commutative group algebras of highly torsion-complete abelian $p$-groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 44 (2003), issue 4, pp. 587-592
• Danchev, Peter V.: Basic subgroups in abelian group rings. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 1, pp. 129-140
• Danchev, Peter: Commutative modular group algebras of $p$-mixed and $p$-splitting abelian $\Sigma$-groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 3, pp. 419-428
• Petrich, Mario; Silva, Pedro V.: A canonical directly infinite ring. (English). Czechoslovak Mathematical Journal, vol. 51 (2001), issue 3, pp. 545-560
• Ullery, William: A direct factor theorem for commutative group algebras. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 3, pp. 383-387
• Trlifaj, Jan: Direct finiteness of group rings - a simple proof of the Kaplansky's conjecture for finite groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 3, pp. 427-429