… projective module is an important research topic in relative homological algebra, representation
theory of algebras… For a given algebra A, how to construct all the Gorenstein-projective A-…

… for an artin algebra the category of finitely generated Gorensteinprojective modules. Such …
of Gorenstein-projective modules over a CM-finite Gorenstein artin algebra is the simplest one …

… We propose to call an artin algebra A left weakly Gorenstein provided that … -projective module
is Gorenstein-projective. (And A is said to be right weakly Gorenstein if its opposite algebra …

… Then C is said to be resolving if C contains the projective modules and is closed under …
Taking this subsidiary information into account, we find the indecomposable projective modules ē…

… projective module is an important research topic in relative homological algebra, representation
theory of algebras… For a given algebra A, how to construct all the Gorenstein-projective A-…

… Gorenstein-projective module given by Enochs and Jenda [11], using a complete projective
resolution… Throughout this paper, all algebras are Artin algebras, and all modules are finitely …

… -projective, if both M and M ⁎ are semi-Gorenstein-projective. … -projective module is
double semi-Gorenstein-projective and … Artin algebra A will be called left semi-Groenstein-projective-…

… existence of a non-projective reflexive module implies that | J … complexes of projective modules
with a non-projective image. … artin algebra, there exists a non-projective reflexive module …

… Artin algebra. The famous finitistic dimension conjecture says that there exists a uniform bound
of the finite projective dimensions of all finitely generated left A-modules … an Artin algebra. …

… In 3.2, we deal with semi-Gorensteinprojective modules M such that M … -Gorensteinprojective
module and try to analyse S. Let A be an artin algebra and S a simple injective module with …