Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Weakly quasi invo-clean rings
Authors: F. Rashedi
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Abstract
We introduce the notion of weakly quasi invo-clean rings where every element $ r $ can be written as $ r=v+e $ or $ r=v-e $, where $v\in Qinv(R)$ and $ e\in Id(R) $. We study various properties of weakly quasi invo-clean elements and weakly quasi invo-clean rings. We prove that the ring $ R=\prod_{i\in I} R_i $, where all rings $ R_i $ are weakly quasi invo-clean, is weakly quasi invo-clean ring if and only if all factors but one are quasi invo-clean.Department of Mathematics
Technical and Vocational University (TVU)
Tehran, Iran
E-mail:
Technical and Vocational University (TVU)
Tehran, Iran
E-mail:
DOI
https://doi.org/10.56415/qrs.v31.08Fulltext
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Contents
- On the intersection ideal graph of semigroups
- On topological completely inverse AG**-groupoids
- A double construction of quadratic anticenter-symmetric Jacobi-Jordan algebras
- On the universality and isotopy-isomorphy of (r,s,t)-inverse quasigroups and loops with applications to cryptography
- Semigroups in which the radical of every interior ideal is a subsemigroup
- Branched covers induced by semisymmetric quasigroup homomorphisms
- General form of the automorphism group of bicyclic graphs
- Weakly quasi invo-clean rings
- On central digraphs constructed from left loops and loops
- Some types of interior filters in quasi-ordered semigroups
- Injective and projective poset acts
