In this paper, we introduce a new class of ring called regular S-Noetherian ring, which is a
weak version of S-Noetherian ring property. Any S-Noetherian ring is naturally a regular S …

In this paper, we introduce and explore a category of rings termed S FP-rings, defined by the
property that each S-finite ideal of them is projective. We demonstrate that all hereditary …

This paper aims at the study of the notions of periodic, UU and semiclean properties in
various context of commutative rings such as trivial ring extensions, amalgamations and …

Let A and B be commutative rings with identity and J be an ideal of B, and let f: A→ B be a
ring homomorphism. The amalgamation of A with B along J with respect to f denoted by A⋈ f …

Let R be a commutative ring with a nonzero identity. Badawi et al.(Bull Korean Math Soc 51
(4): 1163–1173, 2014) defined the concept of 2-absorbing primary ideal as follows: a proper …

In this paper, we introduce a new concept of ring called∑-nil-good ring as a generalization
of the notion of nil-good ring, in the context of commutative rings. We study some basic …

In this paper, we introduce a weak version of Noetherianity that we call regular Noetherian
property. A ring is called regular Noetherian, if every regular ideal is finitely generated. We …