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

Homological algebra originated in late 19th century topology. Homological studies of
algebraic objects, such as rings and modules, only got under way in the middle of the 20th …

Given a non-negative integer n and a ring R with identity, we construct a hereditary abelian
model structure on the category of left R-modules where the class of cofibrant objects …

Given a non-negative integer $ n $ and a ring $ R $ with identity, we construct an abelian
model structure on the category of left $ R $-modules where the class of cofibrant objects …

In this note, we mainly discuss strongly Gorenstein hereditary rings. We prove that for any
ring, the class of SG-projective modules and the class of G-projective modules coincide if …

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62¹ 2 数学学ª « Vol.62, No.2 2019 3月 ACTA MATHEMATICA SINICA, CHINESE SERIES …

In this paper, we mainly investigate the $\mathfrak {X} $-Gorenstein projective dimension of
modules and the (left) $\mathfrak {X} $-Gorenstein global dimension of rings. Some …

In this paper, we introduce and study left (right) G-hereditary rings over any associative ring,
and these rings are exactly G-hereditary rings defined by Mahdou and Tamekkante provided …

We prove that all Gorenstein projective modules are Gorenstein flat if and only each
Gorenstein projective module has finite Gorenstein flat dimension. As applications, some …