Weakly quasi invo-clean rings
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RASHEDI, Fatemeh. Weakly quasi invo-clean rings. In: Quasigroups and Related Systems, 2023, vol. 31, nr. 1, pp. 117-124. ISSN 1561-2848. DOI: https://doi.org/10.56415/qrs.v31.08
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Quasigroups and Related Systems
Volumul 31, Numărul 1 / 2023 / ISSN 1561-2848

Weakly quasi invo-clean rings

DOI:https://doi.org/10.56415/qrs.v31.08
CZU: 512.55
MSC 2010: 16D60, 16S34, 16U60.

Pag. 117-124

Rashedi Fatemeh
 
Technical and Vocational University (TVU)
 
 
Disponibil în IBN: 13 august 2023


Rezumat

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 2 Qinv(R) and e 2 Id(R). We study various properties of weakly quasi invo-clean elements and weakly quasi invo-clean rings. We prove that the ring R = Q i2I Ri, where all rings Ri are weakly quasi invo-clean, is weakly quasi invo-clean ring if and only if all factors but one are quasi invo-clean.

Cuvinte-cheie
quasi-involution elements, quasi invo-clean rings, weakly quasi invo-clean rings