Bastos, Raimundo; Silveira, Danilo On compact groups with Engel-like conditions. (English) Zbl 07719925 Commun. Algebra 51, No. 10, 4468-4470 (2023). Reviewer: Kıvanç Ersoy (Berlin) MSC: 20E18 20F38 20F19 20F45 PDF BibTeX XML Cite \textit{R. Bastos} and \textit{D. Silveira}, Commun. Algebra 51, No. 10, 4468--4470 (2023; Zbl 07719925) Full Text: DOI
de Jesus, Vanderlei Lopes; Schneider, Csaba The center of the universal enveloping algebras of small-dimensional nilpotent Lie algebras in prime characteristic. (English) Zbl 07702903 Beitr. Algebra Geom. 64, No. 2, 243-266 (2023). MSC: 17B35 17B30 16U70 PDF BibTeX XML Cite \textit{V. L. de Jesus} and \textit{C. Schneider}, Beitr. Algebra Geom. 64, No. 2, 243--266 (2023; Zbl 07702903) Full Text: DOI arXiv
Khurana, Dinesh; Nielsen, Pace P. Periodic elements and lifting connections. (English) Zbl 07701464 J. Pure Appl. Algebra 227, No. 11, Article ID 107421, 9 p. (2023). MSC: 16U99 16N40 16U40 PDF BibTeX XML Cite \textit{D. Khurana} and \textit{P. P. Nielsen}, J. Pure Appl. Algebra 227, No. 11, Article ID 107421, 9 p. (2023; Zbl 07701464) Full Text: DOI
Shamsi, Zhaleh; Ghalandarzadeh, Shaban; Malakooti-Rad, Parastoo A generalization of \(\pi\)-regular seminear-ring. (English) Zbl 07699553 Indian J. Pure Appl. Math. 54, No. 1, 210-218 (2023). MSC: 16E50 16N40 16U60 16U99 16Y60 PDF BibTeX XML Cite \textit{Z. Shamsi} et al., Indian J. Pure Appl. Math. 54, No. 1, 210--218 (2023; Zbl 07699553) Full Text: DOI
Yu, Xianjun; Yang, Xiaowei A note on a theorem of ligh and Richou. (English) Zbl 07699539 Indian J. Pure Appl. Math. 54, No. 1, 58-61 (2023). MSC: 16U80 16U70 16D80 16N40 PDF BibTeX XML Cite \textit{X. Yu} and \textit{X. Yang}, Indian J. Pure Appl. Math. 54, No. 1, 58--61 (2023; Zbl 07699539) Full Text: DOI
Breaz, Simion; Zhou, Yiqiang When is every non central-unit a sum of two nilpotents? (English) Zbl 07696848 Leroy, A. (ed.) et al., Algebra and coding theory. Virtual conference in honor of Tariq Rizvi. Noncommutative rings and their applications VII, Université d’Artois, Lens, France, July 5–7, 2021. Virtual conference on quadratic forms, rings and codes, Université d’Artois, Lens, France, July 8, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 785, 47-55 (2023). MSC: 16U99 16S50 PDF BibTeX XML Cite \textit{S. Breaz} and \textit{Y. Zhou}, Contemp. Math. 785, 47--55 (2023; Zbl 07696848) Full Text: DOI arXiv
El Abidine Abdelali, Zine; El Khatiri, Youssef Linear transformations preserving algebraic elements on \(\mathscr{M}_2(\mathbb{F})\) of degree 2. (English) Zbl 07692598 Afr. Mat. 34, No. 1, Paper No. 7, 4 p. (2023). MSC: 15A86 15A21 PDF BibTeX XML Cite \textit{Z. El Abidine Abdelali} and \textit{Y. El Khatiri}, Afr. Mat. 34, No. 1, Paper No. 7, 4 p. (2023; Zbl 07692598) Full Text: DOI
Gardella, Eusebio; Thiel, Hannes Zero-product balanced algebras. (English) Zbl 07687204 Linear Algebra Appl. 670, 121-153 (2023). Reviewer: Dhiren Kumar Basnet (Napaam) MSC: 16U99 15A86 16N40 16S50 47B47 47B49 PDF BibTeX XML Cite \textit{E. Gardella} and \textit{H. Thiel}, Linear Algebra Appl. 670, 121--153 (2023; Zbl 07687204) Full Text: DOI arXiv
de Jesus, Vanderlei Lopes; Schneider, Csaba The center and invariants of standard filiform Lie algebras. (English) Zbl 1515.17028 J. Algebra 628, 584-612 (2023). Reviewer: Ernest L. Stitzinger (Raleigh) MSC: 17B35 17B30 16U70 16W22 17-08 PDF BibTeX XML Cite \textit{V. L. de Jesus} and \textit{C. Schneider}, J. Algebra 628, 584--612 (2023; Zbl 1515.17028) Full Text: DOI arXiv
Rossi, Damiano Monomial characters of finite solvable groups. (English) Zbl 1516.20034 Arch. Math. 120, No. 4, 339-347 (2023). Reviewer: Alexander Moretó (València) MSC: 20D10 20C15 20D15 PDF BibTeX XML Cite \textit{D. Rossi}, Arch. Math. 120, No. 4, 339--347 (2023; Zbl 1516.20034) Full Text: DOI arXiv
Zhou, Yiqiang Generalizations of \(U U\)-rings, \(U J\)-rings and \(U N J\)-rings. (English) Zbl 07667256 J. Algebra Appl. 22, No. 5, Article ID 2350102, 11 p. (2023). Reviewer: Dhiren Kumar Basnet (Napaam) MSC: 16U99 16N20 16U60 16E50 PDF BibTeX XML Cite \textit{Y. Zhou}, J. Algebra Appl. 22, No. 5, Article ID 2350102, 11 p. (2023; Zbl 07667256) Full Text: DOI
Lam, T. Y. An introduction to \(q\)-central idempotents and \(q\)-abelian rings. (English) Zbl 07664311 Commun. Algebra 51, No. 3, 1071-1088 (2023). MSC: 16E50 16N40 16N60 16U60 16U80 PDF BibTeX XML Cite \textit{T. Y. Lam}, Commun. Algebra 51, No. 3, 1071--1088 (2023; Zbl 07664311) Full Text: DOI
Venkatachalam, Vijayanand; Chelliah, Selvaraj Amalgamated rings with semi nil-clean properties. (English) Zbl 1511.16020 Gulf J. Math. 14, No. 1, 173-181 (2023). MSC: 16N40 16U40 16S99 PDF BibTeX XML Cite \textit{V. Venkatachalam} and \textit{S. Chelliah}, Gulf J. Math. 14, No. 1, 173--181 (2023; Zbl 1511.16020) Full Text: DOI
Goyal, Dimple Rani; Khurana, Dinesh A characterisation of matrix rings. (English) Zbl 07657545 Bull. Aust. Math. Soc. 107, No. 1, 95-101 (2023). MSC: 16S50 16U99 PDF BibTeX XML Cite \textit{D. R. Goyal} and \textit{D. Khurana}, Bull. Aust. Math. Soc. 107, No. 1, 95--101 (2023; Zbl 07657545) Full Text: DOI
Han, Leyu Reachable elements in basic classical Lie superalgebras. (English) Zbl 07648553 J. Algebra 619, 744-777 (2023). MSC: 17-XX PDF BibTeX XML Cite \textit{L. Han}, J. Algebra 619, 744--777 (2023; Zbl 07648553) Full Text: DOI arXiv
Voggesberger, Laura On the computation of the nilpotent pieces in bad characteristic for algebraic groups of type \(G_2\), \(F_4\), and \(E_6\). (English) Zbl 1515.20269 J. Algebra 617, 48-78 (2023). Reviewer: Egle Bettio (Venezia) MSC: 20G15 17B45 20G05 20G07 PDF BibTeX XML Cite \textit{L. Voggesberger}, J. Algebra 617, 48--78 (2023; Zbl 1515.20269) Full Text: DOI arXiv
Liu, Yufeng; Chen, Weixing A question on semireversible rings. (English) Zbl 07696795 Adv. Math., Beijing 51, No. 1, 85-92 (2022). MSC: 16U80 16N40 16U70 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{W. Chen}, Adv. Math., Beijing 51, No. 1, 85--92 (2022; Zbl 07696795) Full Text: DOI
Franca, Willian; Alves, Magno Linear transformations preserving algebraic elements of degree 2. (English) Zbl 1517.15022 Linear Multilinear Algebra 70, No. 19, 4191-4213 (2022). Reviewer: Jerónimo Alaminos Prats (Granada) MSC: 15A86 15A04 15A21 PDF BibTeX XML Cite \textit{W. Franca} and \textit{M. Alves}, Linear Multilinear Algebra 70, No. 19, 4191--4213 (2022; Zbl 1517.15022) Full Text: DOI
Chen, Huanyin; Sheibani, Marjan; Ashrafi, Nahid Rings generalized by tripotents and nilpotents. (English) Zbl 07655792 Czech. Math. J. 72, No. 4, 1175-1182 (2022). MSC: 16E50 13B99 16U99 PDF BibTeX XML Cite \textit{H. Chen} et al., Czech. Math. J. 72, No. 4, 1175--1182 (2022; Zbl 07655792) Full Text: DOI
Gandini, Jacopo Fully commutative elements and spherical nilpotent orbits. (English) Zbl 1502.14119 J. Algebra 610, 76-98 (2022). Reviewer: Alessandro Ruzzi (Montreuil) MSC: 14M17 14M27 17B08 20F55 PDF BibTeX XML Cite \textit{J. Gandini}, J. Algebra 610, 76--98 (2022; Zbl 1502.14119) Full Text: DOI arXiv
Zhou, Yiqiang The fineness properties of Morita contexts. (English) Zbl 1512.16027 J. Algebra Appl. 21, No. 10, Article ID 2250205, 11 p. (2022). Reviewer: Grigore Călugăreanu (Cluj-Napoca) MSC: 16S50 16S99 16U60 16U99 PDF BibTeX XML Cite \textit{Y. Zhou}, J. Algebra Appl. 21, No. 10, Article ID 2250205, 11 p. (2022; Zbl 1512.16027) Full Text: DOI
Dolžan, David The probability of zero multiplication in finite rings. (English) Zbl 1510.16019 Bull. Aust. Math. Soc. 106, No. 1, 83-88 (2022). Reviewer: Dhiren Kumar Basnet (Napaam) MSC: 16P10 16N40 16U99 PDF BibTeX XML Cite \textit{D. Dolžan}, Bull. Aust. Math. Soc. 106, No. 1, 83--88 (2022; Zbl 1510.16019) Full Text: DOI
Cheon, Jeoung Soo; Kwak, Tai Keun; Lee, Yang; Piao, Zhelin; Yun, Sang Jo Rings with a right duo factor ring by an ideal contained in the center. (English) Zbl 1504.16003 Bull. Korean Math. Soc. 59, No. 3, 529-545 (2022). Reviewer: Jae Keol Park (Pusan) MSC: 16D25 16U70 16U80 16N40 PDF BibTeX XML Cite \textit{J. S. Cheon} et al., Bull. Korean Math. Soc. 59, No. 3, 529--545 (2022; Zbl 1504.16003) Full Text: DOI
Li, Xianhua; Lei, Donglin; Gao, Yaxin The order of the product of two elements. (English) Zbl 1489.20010 Indian J. Pure Appl. Math. 53, No. 2, 372-374 (2022). MSC: 20D60 20D15 PDF BibTeX XML Cite \textit{X. Li} et al., Indian J. Pure Appl. Math. 53, No. 2, 372--374 (2022; Zbl 1489.20010) Full Text: DOI
Kong, Qingjun; Chen, Shi A note on class sizes of vanishing elements in finite groups. (English) Zbl 1491.20035 Asian-Eur. J. Math. 15, No. 4, Article ID 2250067, 3 p. (2022). MSC: 20D10 20D40 20D15 20E45 20D60 PDF BibTeX XML Cite \textit{Q. Kong} and \textit{S. Chen}, Asian-Eur. J. Math. 15, No. 4, Article ID 2250067, 3 p. (2022; Zbl 1491.20035) Full Text: DOI
Narkuziyev, B. A. Some remarks on evolution algebras corresponding to permutations. (English) Zbl 1498.17053 J. Algebra Appl. 21, No. 6, Article ID 2250112, 15 p. (2022). Reviewer: Raúl M. Falcón (Sevilla) MSC: 17D92 17D99 PDF BibTeX XML Cite \textit{B. A. Narkuziyev}, J. Algebra Appl. 21, No. 6, Article ID 2250112, 15 p. (2022; Zbl 1498.17053) Full Text: DOI arXiv
Alahmadi, Adel; Alharthi, Fawziah Growth functions of Lie algebras associated with associative algebras. (English) Zbl 07535793 J. Algebra Appl. 21, No. 6, Article ID 2250110, 5 p. (2022). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 16P90 16W50 PDF BibTeX XML Cite \textit{A. Alahmadi} and \textit{F. Alharthi}, J. Algebra Appl. 21, No. 6, Article ID 2250110, 5 p. (2022; Zbl 07535793) Full Text: DOI
Elashvili, A. G.; Jibladze, M.; Kac, V. G. Semisimple cyclic elements in semisimple Lie algebras. (English) Zbl 1497.17014 Transform. Groups 27, No. 2, 429-470 (2022). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B20 PDF BibTeX XML Cite \textit{A. G. Elashvili} et al., Transform. Groups 27, No. 2, 429--470 (2022; Zbl 1497.17014) Full Text: DOI arXiv Backlinks: MO MO
Draper, Thomas L.; Nielsen, Pace P.; Šter, Janez Nilpotent polynomials and nilpotent coefficients. (English) Zbl 1496.16020 J. Algebra 602, 405-440 (2022). Reviewer: Puguh Wahyu Prasetyo (Yogyakarta) MSC: 16N40 16S10 16S15 16S36 16U99 PDF BibTeX XML Cite \textit{T. L. Draper} et al., J. Algebra 602, 405--440 (2022; Zbl 1496.16020) Full Text: DOI
Zhou, Yiqiang A multiplicative dual of nil-clean rings. (English) Zbl 1495.16038 Can. Math. Bull. 65, No. 1, 39-43 (2022). Reviewer: Simion Sorin Breaz (Cluj-Napoca) MSC: 16U99 16L30 16S50 PDF BibTeX XML Cite \textit{Y. Zhou}, Can. Math. Bull. 65, No. 1, 39--43 (2022; Zbl 1495.16038) Full Text: DOI
Tang, Gaohua; Zhou, Yiqiang Nil \(\mathcal{G} \)-cleanness and strongly nil \(\mathcal{G} \)-cleanness of rings. (English) Zbl 1495.16037 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 1495.16037) Full Text: DOI
Danchev, Peter; García, Esther; Lozano, Miguel Gómez Decompositions of matrices into potent and square-zero matrices. (English) Zbl 1495.15018 Int. J. Algebra Comput. 32, No. 2, 251-263 (2022). Reviewer: Thiago Castilho de Mello (São José dos Campos) MSC: 15A21 15B33 16S50 PDF BibTeX XML Cite \textit{P. Danchev} et al., Int. J. Algebra Comput. 32, No. 2, 251--263 (2022; Zbl 1495.15018) Full Text: DOI arXiv
Zhou, Yiqiang Generalized fine rings. (English) Zbl 1512.16026 J. Algebra Appl. 21, No. 3, Article ID 2250060, 9 p. (2022). Reviewer: Grigore Călugăreanu (Cluj-Napoca) MSC: 16S50 16U60 16U99 PDF BibTeX XML Cite \textit{Y. Zhou}, J. Algebra Appl. 21, No. 3, Article ID 2250060, 9 p. (2022; Zbl 1512.16026) Full Text: DOI
Han, Leyu Centers of centralizers of nilpotent elements in exceptional Lie superalgebras. (English) Zbl 1501.17005 J. Algebra Appl. 21, No. 3, Article ID 2250053, 32 p. (2022). MSC: 17B05 17B20 17B25 PDF BibTeX XML Cite \textit{L. Han}, J. Algebra Appl. 21, No. 3, Article ID 2250053, 32 p. (2022; Zbl 1501.17005) Full Text: DOI arXiv
Ahanjideh, Neda A criterion for the existence of nilpotent Hall \(\pi \)-subgroups. (English) Zbl 07490524 J. Algebra Appl. 21, No. 3, Article ID 2250043, 13 p. (2022). MSC: 20E45 20D15 PDF BibTeX XML Cite \textit{N. Ahanjideh}, J. Algebra Appl. 21, No. 3, Article ID 2250043, 13 p. (2022; Zbl 07490524) Full Text: DOI
Han, Leyu Centers of centralizers of nilpotent elements in Lie superalgebras \(\mathfrak{sl}(m\mid n)\) or \(\mathfrak{osp}(m\mid 2n)\). (English) Zbl 1512.17014 J. Algebra Appl. 21, No. 1, Article ID 2250006, 39 p. (2022). MSC: 17B20 17B05 PDF BibTeX XML Cite \textit{L. Han}, J. Algebra Appl. 21, No. 1, Article ID 2250006, 39 p. (2022; Zbl 1512.17014) Full Text: DOI arXiv
Kumar, Shrawan Subalgebra generated by ad-locally nilpotent elements of Borcherds generalized Kac-Moody Lie algebras. (English) Zbl 1492.17025 J. Algebra 594, 307-312 (2022). Reviewer: Stefano Capparelli (Roma) MSC: 17B67 PDF BibTeX XML Cite \textit{S. Kumar}, J. Algebra 594, 307--312 (2022; Zbl 1492.17025) Full Text: DOI arXiv
Šter, Janez Nil-clean index of \(M_n(\mathbb{F}_2)\). (English) Zbl 1485.16033 Linear Algebra Appl. 632, 294-307 (2022). Reviewer: Grigore Călugăreanu (Cluj-Napoca) MSC: 16U40 16E50 PDF BibTeX XML Cite \textit{J. Šter}, Linear Algebra Appl. 632, 294--307 (2022; Zbl 1485.16033) Full Text: DOI
Zhou, Yiqiang A note on \(UN\)-rings. (English) Zbl 07691434 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 64(112), No. 1, 97-100 (2021). Reviewer: Andrei Marcus (Cluj-Napoca) MSC: 16U99 16S50 PDF BibTeX XML Cite \textit{Y. Zhou}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 64(112), No. 1, 97--100 (2021; Zbl 07691434)
Sharma, A.; Basnet, D. K. Nil clean divisor graph. (English) Zbl 1513.16060 Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 41, No. 1, Math., 146-153 (2021). MSC: 16U99 16N40 PDF BibTeX XML Cite \textit{A. Sharma} and \textit{D. K. Basnet}, Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 41, No. 1, Math., 146--153 (2021; Zbl 1513.16060) Full Text: arXiv Link
Danchev, Peter V. A note on periodic rings. (English) Zbl 1513.16057 Vladikavkaz. Mat. Zh. 23, No. 4, 109-111 (2021). MSC: 16U99 16E50 16W10 13B99 PDF BibTeX XML Cite \textit{P. V. Danchev}, Vladikavkaz. Mat. Zh. 23, No. 4, 109--111 (2021; Zbl 1513.16057) Full Text: DOI MNR
Sharma, Tilak Raj; Ranote, Hitesh Kumar On some properties of A \(\Gamma\)-semiring. (English) Zbl 1499.16156 JP J. Algebra Number Theory Appl. 52, No. 2, 163-177 (2021). MSC: 16Y80 16Y60 16U40 PDF BibTeX XML Cite \textit{T. R. Sharma} and \textit{H. K. Ranote}, JP J. Algebra Number Theory Appl. 52, No. 2, 163--177 (2021; Zbl 1499.16156) Full Text: DOI
Farshad, Negin; Safarisabet, Shaaban Ali; Moussavi, Ahmad Amalgamated rings with clean-type properties. (English) Zbl 1499.16067 Hacet. J. Math. Stat. 50, No. 5, 1358-1370 (2021). MSC: 16S99 16N40 16U40 PDF BibTeX XML Cite \textit{N. Farshad} et al., Hacet. J. Math. Stat. 50, No. 5, 1358--1370 (2021; Zbl 1499.16067) Full Text: DOI
Goswami, Jituparna; Shabani, Masoumeh Domination in the entire nilpotent element graph of a module over a commutative ring. (English) Zbl 1483.13016 Proyecciones 40, No. 6, 1411-1430 (2021). MSC: 13A70 05C69 05C25 PDF BibTeX XML Cite \textit{J. Goswami} and \textit{M. Shabani}, Proyecciones 40, No. 6, 1411--1430 (2021; Zbl 1483.13016) Full Text: DOI
Saha, Ripan; Towers, David A. On certain classes of algebras in which centralizers are ideals. (English) Zbl 1490.17001 J. Lie Theory 31, No. 4, 991-1002 (2021). Reviewer: Pasha Zusmanovich (Ostrava) MSC: 17A01 17A30 17A32 17B30 PDF BibTeX XML Cite \textit{R. Saha} and \textit{D. A. Towers}, J. Lie Theory 31, No. 4, 991--1002 (2021; Zbl 1490.17001) Full Text: arXiv Link
Martino, Armando; Tointon, Matthew C. H.; Valiunas, Motiejus; Ventura, Enric Probabilistic nilpotence in infinite groups. (English) Zbl 1507.20038 Isr. J. Math. 244, No. 2, 539-588 (2021). Reviewer: Francesco G. Russo (Rondebosch) MSC: 20P05 20F18 PDF BibTeX XML Cite \textit{A. Martino} et al., Isr. J. Math. 244, No. 2, 539--588 (2021; Zbl 1507.20038) Full Text: DOI arXiv Link
Călugăreanu, Grigore; Zhou, Yiqiang Rings with fine nilpotents. (English) Zbl 1500.16037 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 67, No. 2, 231-241 (2021). Reviewer: Dhiren Kumar Basnet (Napaam) MSC: 16U99 16S50 PDF BibTeX XML Cite \textit{G. Călugăreanu} and \textit{Y. Zhou}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 67, No. 2, 231--241 (2021; Zbl 1500.16037) Full Text: DOI
Kostić, Aleksandra S.; Petrović, Zoran Z.; Pucanović, Zoran S.; Roslavcev, Maja On the generalized strongly nil-clean property of matrix rings. (English) Zbl 1496.16030 Algebra Colloq. 28, No. 4, 625-634 (2021). Reviewer: Branislav Prvulović (Beograd) MSC: 16S50 16U99 PDF BibTeX XML Cite \textit{A. S. Kostić} et al., Algebra Colloq. 28, No. 4, 625--634 (2021; Zbl 1496.16030) Full Text: DOI
Dolžan, David Bounds for the number of idempotents in finite rings. (English) Zbl 1493.16019 Commun. Algebra 49, No. 11, 4800-4807 (2021). Reviewer: Huang Wenxue (Scarborough) MSC: 16P10 16N40 16U99 PDF BibTeX XML Cite \textit{D. Dolžan}, Commun. Algebra 49, No. 11, 4800--4807 (2021; Zbl 1493.16019) Full Text: DOI
Harmanci, Abdullah; Kose, Handan; Ungor, Burcu Symmetricity and reversibility from the perspective of nilpotents. (English) Zbl 1485.16017 Commun. Korean Math. Soc. 36, No. 2, 209-227 (2021). Reviewer: Zoltán Halasi (Budapest) MSC: 16N40 16S99 16U80 16U99 PDF BibTeX XML Cite \textit{A. Harmanci} et al., Commun. Korean Math. Soc. 36, No. 2, 209--227 (2021; Zbl 1485.16017) Full Text: DOI
Mikhalev, A. V.; Shirshova, E. E. Prime radicals of directed pseudo-ordered rings. (English. Russian original) Zbl 1505.06020 J. Math. Sci., New York 257, No. 6, 846-859 (2021); translation from Fundam. Prikl. Mat. 22, No. 4, 147-166 (2019). Reviewer: Peeter Normak (Tallinn) MSC: 06F25 20F60 16W80 16N80 PDF BibTeX XML Cite \textit{A. V. Mikhalev} and \textit{E. E. Shirshova}, J. Math. Sci., New York 257, No. 6, 846--859 (2021; Zbl 1505.06020); translation from Fundam. Prikl. Mat. 22, No. 4, 147--166 (2019) Full Text: DOI
Brox, Jose; García, Esther; Gómez Lozano, Miguel; Muñoz Alcázar, Rubén; Vera de Salas, Guillermo A description of ad-nilpotent elements in semiprime rings with involution. (English) Zbl 1478.16029 Bull. Malays. Math. Sci. Soc. (2) 44, No. 4, 2577-2602 (2021). MSC: 16W10 16N60 17B60 PDF BibTeX XML Cite \textit{J. Brox} et al., Bull. Malays. Math. Sci. Soc. (2) 44, No. 4, 2577--2602 (2021; Zbl 1478.16029) Full Text: DOI
Jin, Hailan; Kwak, Tai Keun; Lee, Yang; Piao, Zhelin A property satisfying reducedness over centers. (English) Zbl 1483.16038 Algebra Colloq. 28, No. 3, 453-468 (2021). Reviewer: Mohd Arif Raza (Rabigh) MSC: 16U80 16U70 16N40 PDF BibTeX XML Cite \textit{H. Jin} et al., Algebra Colloq. 28, No. 3, 453--468 (2021; Zbl 1483.16038) Full Text: DOI
Cui, Jian; Xia, Guoli; Zhou, Yiqiang Nil-clean rings with involution. (English) Zbl 1484.16020 Algebra Colloq. 28, No. 3, 367-378 (2021). Reviewer: Stefan Veldsman (Port Elizabeth) MSC: 16N80 16U99 16W10 16S50 PDF BibTeX XML Cite \textit{J. Cui} et al., Algebra Colloq. 28, No. 3, 367--378 (2021; Zbl 1484.16020) Full Text: DOI
Khurana, Dinesh Lifting potent elements modulo nil ideals. (English) Zbl 1481.16049 J. Pure Appl. Algebra 225, No. 11, Article ID 106762, 7 p. (2021). Reviewer: Stefan Veldsman (Port Elizabeth) MSC: 16U99 16N40 PDF BibTeX XML Cite \textit{D. Khurana}, J. Pure Appl. Algebra 225, No. 11, Article ID 106762, 7 p. (2021; Zbl 1481.16049) Full Text: DOI
Cui, Jian; Xia, Guoli Rings in which every element is a sum of a nilpotent and three tripotents. (English) Zbl 1481.16046 Bull. Korean Math. Soc. 58, No. 1, 47-58 (2021). Reviewer: Leo Margolis (Brussel) MSC: 16U99 16S34 PDF BibTeX XML Cite \textit{J. Cui} and \textit{G. Xia}, Bull. Korean Math. Soc. 58, No. 1, 47--58 (2021; Zbl 1481.16046) Full Text: DOI
Azimi Shahrabi, N.; Akhavan-Malayeri, M. Commuting automorphisms of finite \(2\)-groups of almost maximal class. II. (English) Zbl 1517.20031 J. Algebra Appl. 20, No. 4, Article ID 2150060, 17 p. (2021). Reviewer: Takao Satoh (Tokyo) MSC: 20D45 20F28 20D15 PDF BibTeX XML Cite \textit{N. Azimi Shahrabi} and \textit{M. Akhavan-Malayeri}, J. Algebra Appl. 20, No. 4, Article ID 2150060, 17 p. (2021; Zbl 1517.20031) Full Text: DOI
Chen, Huanyin; Abdolyousefi, Marjan Sheibani Rings additively generated by idempotents and nilpotents. (English) Zbl 1479.16036 Commun. Algebra 49, No. 4, 1781-1787 (2021). MSC: 16U99 16E50 13B99 PDF BibTeX XML Cite \textit{H. Chen} and \textit{M. S. Abdolyousefi}, Commun. Algebra 49, No. 4, 1781--1787 (2021; Zbl 1479.16036) Full Text: DOI arXiv
Peng, Fei; Zhu, Huihui On a question of Drazin. (English) Zbl 1480.16067 Commun. Algebra 49, No. 3, 1180-1185 (2021). MSC: 16U90 16U99 PDF BibTeX XML Cite \textit{F. Peng} and \textit{H. Zhu}, Commun. Algebra 49, No. 3, 1180--1185 (2021; Zbl 1480.16067) Full Text: DOI
Cui, Jian; Li, Yuanlin; Wang, Haobai On nil clean group rings. (English) Zbl 1462.16023 Commun. Algebra 49, No. 2, 790-796 (2021). Reviewer: Grigore Călugăreanu (Cluj-Napoca) MSC: 16S34 16U99 20D15 16W10 PDF BibTeX XML Cite \textit{J. Cui} et al., Commun. Algebra 49, No. 2, 790--796 (2021; Zbl 1462.16023) Full Text: DOI
Han, Juncheol; Lee, Yang; Park, Sangwon Structure of NI rings related to centers. (English) Zbl 1462.16037 Commun. Algebra 49, No. 2, 621-630 (2021). Reviewer: Peter Danchev (Sofia) MSC: 16U70 16N40 16S50 PDF BibTeX XML Cite \textit{J. Han} et al., Commun. Algebra 49, No. 2, 621--630 (2021; Zbl 1462.16037) Full Text: DOI
Danchev, P. V. Weakly clean and exchange UNI rings. (English) Zbl 1507.16041 Ukr. Math. J. 71, No. 12, 1855-1864 (2020) and Ukr. Mat. Zh. 71, No. 12, 1618-1625 (2019). MSC: 16U99 16N40 PDF BibTeX XML Cite \textit{P. V. Danchev}, Ukr. Math. J. 71, No. 12, 1855--1864 (2020; Zbl 1507.16041) Full Text: DOI
Halici, Serpil; Karataş, Adnan Split octonion algebra and its zero divisors. (English) Zbl 1464.17002 Hvedri, Inassaridze (ed.), Tbilisi – mathematics. Special issue on the 8th international Eurasian conference on mathematical sciences and applications, IECMSA-2019, August 27–30, 2019, Baku, Azerbaijan. Berlin: De Gruyter/Sciendo. Tbilisi Math. J. Collect. Spec. Issues 1, 79-86 (2020). MSC: 17A20 16N40 PDF BibTeX XML Cite \textit{S. Halici} and \textit{A. Karataş}, Tbilisi Math. J. Collect. Spec. Issues 1, 79--86 (2020; Zbl 1464.17002)
Nikmehr, Mohammad Javad; Azadi, Abdolreza Nilpotent graphs of skew polynomial rings over non-commutative rings. (English) Zbl 1474.16066 Trans. Comb. 9, No. 1, 41-48 (2020). MSC: 16S36 16U99 16S15 05C12 PDF BibTeX XML Cite \textit{M. J. Nikmehr} and \textit{A. Azadi}, Trans. Comb. 9, No. 1, 41--48 (2020; Zbl 1474.16066) Full Text: DOI
Danchev, Peter V. Certain properties of square matrices over fields with applications to rings. (English) Zbl 1476.16039 Rev. Colomb. Mat. 54, No. 2, 109-116 (2020). Reviewer: Wen-Fong Ke (Tainan) MSC: 16U99 16S50 16E50 16W10 13B99 PDF BibTeX XML Cite \textit{P. V. Danchev}, Rev. Colomb. Mat. 54, No. 2, 109--116 (2020; Zbl 1476.16039) Full Text: DOI
Han, Juncheol; Sim, Hyo-Seob \(I\)-semiregular rings. (English) Zbl 1482.16018 East Asian Math. J. 36, No. 3, 337-347 (2020). Reviewer: Enrique Pardo Espino (Cádiz) MSC: 16E50 16U99 16U80 16D99 16N40 PDF BibTeX XML Cite \textit{J. Han} and \textit{H.-S. Sim}, East Asian Math. J. 36, No. 3, 337--347 (2020; Zbl 1482.16018) Full Text: DOI
Danchev, Pëtr Vasil’evich Symmetrization in clean and nil-clean rings. (English) Zbl 1465.16041 Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 20, No. 2, 154-160 (2020). Reviewer: Grigore Călugăreanu (Cluj-Napoca) MSC: 16U99 16N40 PDF BibTeX XML Cite \textit{P. V. Danchev}, Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 20, No. 2, 154--160 (2020; Zbl 1465.16041) Full Text: DOI MNR
Xu, Hui; Shi, Enhui; Wang, Yiruo Invariant Radon measures and minimal sets for subgroups of \(\text{Homeo}_+(\mathbb{R})\). (English) Zbl 1457.37010 Topology Appl. 285, Article ID 107378, 12 p. (2020). MSC: 37B02 37C85 28C05 PDF BibTeX XML Cite \textit{H. Xu} et al., Topology Appl. 285, Article ID 107378, 12 p. (2020; Zbl 1457.37010) Full Text: DOI arXiv
Eo, Sehoon; Hwang, Seungjoo; Yeo, Woongyeong Group rings satisfying nil clean property. (English) Zbl 1460.16027 Commun. Korean Math. Soc. 35, No. 1, 117-124 (2020). Reviewer: Todor Mollov (Plovdiv) MSC: 16S34 16U99 PDF BibTeX XML Cite \textit{S. Eo} et al., Commun. Korean Math. Soc. 35, No. 1, 117--124 (2020; Zbl 1460.16027) Full Text: DOI
Du, Junhua; Yang, Xinsong Some properties of the regular elements of the ring with \({F_k}\)-property. (Chinese. English summary) Zbl 1463.16064 Math. Pract. Theory 50, No. 7, 224-228 (2020). MSC: 16U80 16U70 16N40 PDF BibTeX XML Cite \textit{J. Du} and \textit{X. Yang}, Math. Pract. Theory 50, No. 7, 224--228 (2020; Zbl 1463.16064)
Cui, Jian; Qin, Long Generalizations of \(J\)-clean rings. (English) Zbl 1463.16070 Adv. Math., Beijing 49, No. 1, 29-38 (2020). MSC: 16U99 16N20 16N40 PDF BibTeX XML Cite \textit{J. Cui} and \textit{L. Qin}, Adv. Math., Beijing 49, No. 1, 29--38 (2020; Zbl 1463.16070)
Abdolyousefi, Marjan Sheibani Nilpotent and linear combination of idempotent matrices. (English) Zbl 1460.16038 Int. Electron. J. Algebra 28, 220-228 (2020). MSC: 16U40 15A30 PDF BibTeX XML Cite \textit{M. S. Abdolyousefi}, Int. Electron. J. Algebra 28, 220--228 (2020; Zbl 1460.16038) Full Text: Link
Dinar, Yassir On integrability of transverse Lie-Poisson structures at nilpotent elements. (English) Zbl 1473.37071 J. Geom. Phys. 155, Article ID 103690, 12 p. (2020). Reviewer: Luen-Chau Li (University Park) MSC: 37J37 37J35 53D17 17B08 17B80 PDF BibTeX XML Cite \textit{Y. Dinar}, J. Geom. Phys. 155, Article ID 103690, 12 p. (2020; Zbl 1473.37071) Full Text: DOI arXiv
Sharma, Ajay; Basnet, Dhiren Kumar Correction to: “Weak nil clean ideals”. (English) Zbl 1471.16031 Rend. Circ. Mat. Palermo (2) 69, No. 2, 673 (2020). MSC: 16N40 16U99 PDF BibTeX XML Cite \textit{A. Sharma} and \textit{D. K. Basnet}, Rend. Circ. Mat. Palermo (2) 69, No. 2, 673 (2020; Zbl 1471.16031) Full Text: DOI
Sharma, Ajay; Basnet, Dhiren Kumar Weak nil clean ideals. (English) Zbl 1443.16021 Rend. Circ. Mat. Palermo (2) 69, No. 2, 665-672 (2020); correction ibid. 69, No. 2, 673 (2020). MSC: 16N40 16U99 PDF BibTeX XML Cite \textit{A. Sharma} and \textit{D. K. Basnet}, Rend. Circ. Mat. Palermo (2) 69, No. 2, 665--672 (2020; Zbl 1443.16021) Full Text: DOI arXiv
Hashemi, Ebrahim; Shokuhifar, Fatemeh; Alhevaz, Abdollah On clean and regular elements of near-ring of skew polynomials. (English) Zbl 1445.16041 Commun. Algebra 48, No. 6, 2575-2590 (2020). Reviewer: Stefan Veldsman (Port Elizabeth) MSC: 16Y30 16U60 16S36 PDF BibTeX XML Cite \textit{E. Hashemi} et al., Commun. Algebra 48, No. 6, 2575--2590 (2020; Zbl 1445.16041) Full Text: DOI
Koşan, M. Tamer; Yildirim, Tülay; Zhou, Y. Rings with \(x^n-x\) nilpotent. (English) Zbl 1457.16036 J. Algebra Appl. 19, No. 4, Article ID 2050065, 14 p. (2020). MSC: 16U99 16N20 16N40 PDF BibTeX XML Cite \textit{M. T. Koşan} et al., J. Algebra Appl. 19, No. 4, Article ID 2050065, 14 p. (2020; Zbl 1457.16036) Full Text: DOI
Bhattacharjee, Arnab Reflexive-nilpotents-property skewed by ring endomorphisms. (English) Zbl 1431.16041 Arab. J. Math. 9, No. 1, 63-72 (2020). MSC: 16U99 16W20 16N40 PDF BibTeX XML Cite \textit{A. Bhattacharjee}, Arab. J. Math. 9, No. 1, 63--72 (2020; Zbl 1431.16041) Full Text: DOI
Kwak, Tai Keun; Lee, Seung İck; Lee, Yang Quasi-normality of idempotents on nilpotents. (English) Zbl 1488.16101 Hacet. J. Math. Stat. 48, No. 6, 1744-1760 (2019). MSC: 16U40 16N40 16U80 PDF BibTeX XML Cite \textit{T. K. Kwak} et al., Hacet. J. Math. Stat. 48, No. 6, 1744--1760 (2019; Zbl 1488.16101) Full Text: DOI
Sharma, Ajay; Basnet, Dhiren Kumar Weakly \(r\)-clean rings and weakly \(\star\)-clean rings. (English) Zbl 1474.16097 An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 65, No. 2, 227-239 (2019). MSC: 16U99 16N40 PDF BibTeX XML Cite \textit{A. Sharma} and \textit{D. K. Basnet}, An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 65, No. 2, 227--239 (2019; Zbl 1474.16097) Full Text: arXiv
Gangavarapu; Kishore, Venkata Krishna Torsion elements of the Nottingham group of order \(p^2\) and type \(\langle 2, m \rangle\). (English) Zbl 1469.20027 J. Ramanujan Math. Soc. 34, No. 2, 231-243 (2019). MSC: 20E45 20E18 11S31 20D15 PDF BibTeX XML Cite \textit{Gangavarapu} and \textit{V. K. Kishore}, J. Ramanujan Math. Soc. 34, No. 2, 231--243 (2019; Zbl 1469.20027) Full Text: Link
Sozutov, A. I. Two observations on groups with Engel elements. (English. Russian original) Zbl 1468.20069 Sib. Math. J. 60, No. 6, 1099-1100 (2019); translation from Sib. Mat. Zh. 60, No. 6, 1411-1413 (2019). MSC: 20F45 20F18 PDF BibTeX XML Cite \textit{A. I. Sozutov}, Sib. Math. J. 60, No. 6, 1099--1100 (2019; Zbl 1468.20069); translation from Sib. Mat. Zh. 60, No. 6, 1411--1413 (2019) Full Text: DOI
Danchev, Petr V. On a property of nilpotent matrices over an algebraically closed field. (English) Zbl 1445.16037 Chebyshevskiĭ Sb. 20, No. 3(71), 401-404 (2019). Reviewer: Grigore Călugăreanu (Cluj-Napoca) MSC: 16U99 16E50 16W10 13B99 PDF BibTeX XML Cite \textit{P. V. Danchev}, Chebyshevskiĭ Sb. 20, No. 3(71), 401--404 (2019; Zbl 1445.16037) Full Text: MNR
Sharma, Ajay; Basnet, Dhiren Kumar Nil clean ideal. (English) Zbl 1430.16040 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 65, No. 2, 361-368 (2019). MSC: 16U99 16N40 PDF BibTeX XML Cite \textit{A. Sharma} and \textit{D. K. Basnet}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 65, No. 2, 361--368 (2019; Zbl 1430.16040) Full Text: DOI arXiv
Veretennikov, Boris Mikhaĭlovich The strict upper bound of ranks of commutator subgroups of finite \(p\)-groups. (Russian. English summary) Zbl 1436.20040 Sib. Èlektron. Mat. Izv. 16, 1885-1900 (2019). MSC: 20D60 20D15 20F05 20F12 PDF BibTeX XML Cite \textit{B. M. Veretennikov}, Sib. Èlektron. Mat. Izv. 16, 1885--1900 (2019; Zbl 1436.20040) Full Text: DOI
Choi, Kwang-Jin; Kwak, Tai Keun; Lee, Yang Reversibility and symmetry over centers. (English) Zbl 1490.16085 J. Korean Math. Soc. 56, No. 3, 723-738 (2019). MSC: 16U70 16U80 PDF BibTeX XML Cite \textit{K.-J. Choi} et al., J. Korean Math. Soc. 56, No. 3, 723--738 (2019; Zbl 1490.16085) Full Text: DOI
Basnet, Dhiren Kumar; Bhattacharyya, Jayanta Weak clean index of a ring. (English) Zbl 1451.16011 Beitr. Algebra Geom. 60, No. 4, 663-670 (2019). Reviewer: Puguh Wahyu Prasetyo (Yogyakarta) MSC: 16N40 16U99 PDF BibTeX XML Cite \textit{D. K. Basnet} and \textit{J. Bhattacharyya}, Beitr. Algebra Geom. 60, No. 4, 663--670 (2019; Zbl 1451.16011) Full Text: DOI arXiv
Lam, T. Y.; Nielsen, Pace P. Jacobson pairs and Bott-Duffin decompositions in rings. (English) Zbl 1429.16008 Leroy, André (ed.) et al., Rings, modules and codes. Fifth international conference on noncommutative rings and their applications, University of Artois, Lens, France, June 12–15, 2017. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 727, 249-267 (2019). MSC: 16D70 16P70 16U60 16U80 PDF BibTeX XML Cite \textit{T. Y. Lam} and \textit{P. P. Nielsen}, Contemp. Math. 727, 249--267 (2019; Zbl 1429.16008) Full Text: DOI Link
Khairnar, A. S.; Waphare, B. N. Generalized projections in \(\mathbb{Z}_n\). (English) Zbl 1423.06002 AKCE Int. J. Graphs Comb. 16, No. 1, 1-7 (2019). MSC: 06A06 06A07 06B05 PDF BibTeX XML Cite \textit{A. S. Khairnar} and \textit{B. N. Waphare}, AKCE Int. J. Graphs Comb. 16, No. 1, 1--7 (2019; Zbl 1423.06002) Full Text: DOI arXiv
Wadsanthat, Atsanon; Panraksa, Chatchawan; Kositwattanarerk, Wittawat Linear maps given by quadratic polynomials. (English) Zbl 1423.37020 East-West J. Math. 21, No. 1, 70-84 (2019). MSC: 37P05 37C15 37C20 37C25 PDF BibTeX XML Cite \textit{A. Wadsanthat} et al., East-West J. Math. 21, No. 1, 70--84 (2019; Zbl 1423.37020)
Du, Junhua; Yang, Xinsong The commutative property of the ring with \({F_k}\)-property. (Chinese. English summary) Zbl 1438.16068 Math. Pract. Theory 49, No. 2, 247-251 (2019). MSC: 16U80 16U70 16N40 PDF BibTeX XML Cite \textit{J. Du} and \textit{X. Yang}, Math. Pract. Theory 49, No. 2, 247--251 (2019; Zbl 1438.16068)
Wang, Huixing Strongly quasi-nil clean rings. (English) Zbl 1438.16074 Adv. Math., Beijing 48, No. 1, 53-60 (2019). MSC: 16U99 16N40 16S50 PDF BibTeX XML Cite \textit{H. Wang}, Adv. Math., Beijing 48, No. 1, 53--60 (2019; Zbl 1438.16074) Full Text: DOI
Muñoz García, Esther; Gómez Lozano, Miguel; Muñoz Alcázar, Rubén; Vera de Salas, Guillermo A Jordan canonical form for nilpotent elements in an arbitrary ring. (English) Zbl 1437.16009 Linear Algebra Appl. 581, 324-335 (2019). Reviewer: Antonio Fernández López (Málaga) MSC: 16E50 16U99 16S50 PDF BibTeX XML Cite \textit{E. Muñoz García} et al., Linear Algebra Appl. 581, 324--335 (2019; Zbl 1437.16009) Full Text: DOI
Babai, Azam; Khatami, Maryam NSE characterization of some Suzuki groups. (English) Zbl 1436.20021 Quasigroups Relat. Syst. 27, No. 1, 15-24 (2019). MSC: 20D06 20D60 20D10 20D15 PDF BibTeX XML Cite \textit{A. Babai} and \textit{M. Khatami}, Quasigroups Relat. Syst. 27, No. 1, 15--24 (2019; Zbl 1436.20021)
Haji, S.; Jafarian Amiri, S. M. On groups covered by finitely many centralizers and domination number of the commuting graphs. (English) Zbl 1480.20065 Commun. Algebra 47, No. 11, 4641-4653 (2019). MSC: 20D60 20B05 20D15 20D06 PDF BibTeX XML Cite \textit{S. Haji} and \textit{S. M. Jafarian Amiri}, Commun. Algebra 47, No. 11, 4641--4653 (2019; Zbl 1480.20065) Full Text: DOI
Kızmaz, M. Yasir A short note on Isaacs-Navarro’s theorem. (English) Zbl 1512.20050 Arch. Math. 113, No. 3, 225-227 (2019). MSC: 20D10 20D15 20D45 PDF BibTeX XML Cite \textit{M. Y. Kızmaz}, Arch. Math. 113, No. 3, 225--227 (2019; Zbl 1512.20050) Full Text: DOI
Chen, Huanyin; Sheibani Abdolyousefi, Marjan Strongly 2-nil-clean rings with involutions. (English) Zbl 07088786 Czech. Math. J. 69, No. 2, 317-330 (2019). MSC: 16U99 16E50 16W10 PDF BibTeX XML Cite \textit{H. Chen} and \textit{M. Sheibani Abdolyousefi}, Czech. Math. J. 69, No. 2, 317--330 (2019; Zbl 07088786) Full Text: DOI
Kostić, Aleksandra; Petrović, Zoran Z.; Pucanović, Zoran S.; Roslavcev, Maja Note on strongly nil clean elements in rings. (English) Zbl 1513.13022 Czech. Math. J. 69, No. 1, 87-92 (2019). Reviewer: Pace Nielsen (Provo) MSC: 13B25 16N40 16U99 15B33 PDF BibTeX XML Cite \textit{A. Kostić} et al., Czech. Math. J. 69, No. 1, 87--92 (2019; Zbl 1513.13022) Full Text: DOI
Drensky, Vesselin Additive primitive length in relatively free algebras. (English) Zbl 1429.17007 Int. J. Algebra Comput. 29, No. 5, 849-859 (2019). Reviewer: Şehmus Findik (Adana) MSC: 17B01 17B30 17B40 13F20 13P05 PDF BibTeX XML Cite \textit{V. Drensky}, Int. J. Algebra Comput. 29, No. 5, 849--859 (2019; Zbl 1429.17007) Full Text: DOI arXiv
Guralnick, Robert M.; Moretó, Alexander Conjugacy classes, characters and products of elements. (English) Zbl 1454.20009 Math. Nachr. 292, No. 6, 1315-1320 (2019). Reviewer: Ahmad Alghamdi (Makkah) MSC: 20C15 20D15 20E45 PDF BibTeX XML Cite \textit{R. M. Guralnick} and \textit{A. Moretó}, Math. Nachr. 292, No. 6, 1315--1320 (2019; Zbl 1454.20009) Full Text: DOI arXiv