There are different approaches to characterizing the structures of commutative rings: the
category of modules over commutative rings, homology theories, theories of the star …

A ring R is called Gorenstein hereditary (G-hereditary) if every submodule of a projective
module is Gorenstein projective (ie Ggldim (R)≤ 1). In this paper, we settle a question …

Full article: SG-projective ideals in one dimensional Noetherian domains Skip to Main
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In this paper, we construct some non-integrally closed domains in Gorenstein multiplicative
ideal theory. For example, we show that there exists a Gorenstein Prüfer domain which is …

An integral domain R is called a Gorenstein Prüfer (G-Prüfer) domain if it is coherent and
every submodule of a flat R-module is Gorenstein flat. In this paper, we show that every n-FC …

In this paper, we mainly discuss Gorenstein Dedekind do-mains (G-Dedekind domains for
short) and their overrings. Let R be a one-dimensional Noetherian domain with quotient field …

It is proved in [Strongly Gorenstein projective, injective and flat modules, J. Algebra 320
(2008) 2659–2674, Theorem 2.8] that a finitely presented torsion-free module is SG …

In this paper, we study the natural star-operation defined by the set of associated primes of
principal ideals of an integral domain, which is called the g-operation. We are mainly …

It was shown by Kang (1989) that a domain R is a Krull domain if and only if R is a Mori
domain and a P v MD. In this paper, we extend this result to Gorenstein multiplicative ideal …

In this paper, we prove that the Gorenstein analogue of the well-known Auslander's theorem
on the global dimension holds true. Namely, we prove that the Gorenstein global dimension …