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arXiv · 2203.03262

On 1-semiregular and 2-semiregular rings

Driss Bennis·François Couchot
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Abstract

In this paper, we are mainly interested in the two questions "which are the commutative rings on which every finitely presented modules is [Formula: see text]-periodic (respectively, [Formula: see text]-periodic)?". It is proved that these kinds of rings are particular cases of semiregular rings. So, we call them [Formula: see text]-semiregular and [Formula: see text]-semiregular rings, respectively. We establish characterizations of these rings in terms of various classical notions and we provide several examples of such rings.

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Driss Bennis, François Couchot. 2022-03-07. On 1-semiregular and 2-semiregular rings. https://doi.org/10.1142/s0219498821502212

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