On 1-semiregular and 2-semiregular rings

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.

References in corpus (2)

• The lambda-dimension of commutative arithmetic rings
• Injective modules and fp-injective modules over valuation rings