Smooth Projective Modules Abstract: Aimed at that available application of smooth homomorphism is around the comparison of two smooth modulus with each other and any of its application to construct ...

In this context, projective modules—and notably the class of Gorenstein-projective modules—play a pivotal role, providing essential insights into both the representation theory of algebras and ...

The following concepts will allow us to define the notions of projective dimension, injective dimension and global dimension; which we will be very useful in demonstrating the fundamental result of ...

Abstract. Let U be a (B, A)-bimodule, A and B be rings, and be a formal triangular matrix ring. In this paper, we characterize the structure of relative Ding projective modules over T under some ...

Simple modules are cyclic too, since the submodule generated by any nonzero element must be the module itself. So, both projective indecomposable and simple modules are “small”, in the sense of being ...

We give necessary and sufficient conditions in order for the class of projectively coresolved Gorenstein flat modules, $\mathcal{PGF}$, (respectively that of projectively coresolved Gorenstein ...

Abstract: Given a finite group G and a field k, the group ring kG decomposes into a direct sum of projective indecomposable modules and the structure of these modules is intricately tied to the ...

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Let A be an affine algebra over the field of real numbers of dimension d. Let f \in A be an element not belonging to any real maximal ideal of A. Let P be a ...