Commutative feebly invo-clean group rings | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2019. № 61. DOI: 10.17223/19988621/61/1

Commutative feebly invo-clean group rings

A commutative ring R is called feebly invo-clean if any its element is of the form v+e-f, where v is an involution and e, f are idempotents. For every commutative unital ring R and every abelian group G we find a necessary and sufficient condition only in terms of R , G and their sections when the group ring R[G] is feebly invo-clean. Our result improves two recent own achievements about commutative invo-clean and weakly invo-clean group rings, published in Univ. J. Math. & Math. Sci. (2018) and Ural Math. J. (2019), respectively.

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Keywords

invo-clean rings, weakly invo-clean rings, feebly invo-clean rings, group rings, инво-чистые кольца, слабо инво-чистые кольца, мало инво-чистые кольца, групповые кольца

Authors

Name	Organization	E-mail
Danchev Peter V.	Institute of Mathematics and Informatics of Bulgarian Academy of Sciences	pvdanchev@yahoo.com. danchev@math.bas.bg

Всего: 1

References

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