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Bulgaria Sofia
Year
2022
Volume
32
Issue
1
Pages
18-25
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Section Mathematics
Title Weakly invo-clean rings having weak involution
Author(-s) Danchev P.V.a
Affiliations Institute of Mathematics and Informatics, Bulgarian Academy of Sciencesa
Abstract We completely describe up to an isomorphism the structure of weakly invo-clean rings possessing weak involution. The obtained results expand two own establishments, namely those from Afrika Mat. (2017) concerning weakly invo-clean rings as well as those from Far East J. Math. Sci. (2021) concerning invo-clean rings with weak involution.
Keywords (weakly) invo-clean rings, (weak) involution
UDC 512.71
MSC 16U99, 16E50, 13B99
DOI 10.35634/vm220102
Received 5 September 2021
Language English
Citation Danchev P.V. Weakly invo-clean rings having weak involution, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2022, vol. 32, issue 1, pp. 18-25.
References
  1. Danchev P.V. Weakly UU rings, Tsukuba Journal of Mathematics, 2016, vol. 40, issue 1, pp. 101-118. https://doi.org/10.21099/tkbjm/1474747489
  2. Danchev P.V. Invo-clean unital rings, Commun. Korean Math. Soc., 2017, vol. 32, issue 1, pp. 19-27. https://doi.org/10.4134/CKMS.c160054
  3. Danchev P.V. Weakly invo-clean unital rings, Afrika Matematika, 2017, vol. 28, issue 7-8, pp. 1285-1295. https://doi.org/10.1007/s13370-017-0515-7
  4. Danchev P.V. Feebly invo-clean unital rings, Annales Universitatis Scientiarium Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica, 2017, vol. 60, pp. 85-91.
  5. Danchev P.V. Invo-regular unital rings, Annales Universitatis Mariae Curie-Sklodowska, sectio A - Mathematica, 2018, vol. 72, issue 1, pp. 45-53. https://doi.org/10.17951/a.2018.72.1.45-53
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  11. Danchev P., Matczuk J. $n$-torsion clean rings, Contemporary Mathematics, 2019, vol. 727, pp. 71-82. https://doi.org/10.1090/conm/727/14625
  12. Hirano Y., Tominaga H. Rings in which every element is the sum of two idempotents, Bulletin of the Australian Mathematical Society, 1988, vol. 37, issue 2, pp. 161-164. https://doi.org/10.1017/S000497270002668X
  13. Lam T.Y. A first course in noncommutative rings, New York: Springer, 2001. https://doi.org/10.1007/978-1-4419-8616-0
  14. Perić V. On rings with polynomial identity $x$$n$ $-x=0$, Publications de l'Institut Mathématique, 1983, vol. 34 (48), pp. 165-168.
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