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 new smooth modulus has not ...

1 College of Science, Guilin University of Technology, Guilin, China. 2 School of Science, Guilin University of Aerospace Technology, Guilin, China. This paper aims at investigating relative Ding ...

In many branches of mathematics, there is a clear notion of “atomic” or “indivisible” object. Examples are prime numbers, connected spaces, transitive group actions, and ergodic dynamical systems. But ...

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

1 Department of Mathematics, Faculty of Science, Cairo University, Cairo, Egypt &Department of Mathematics, Faculty of Science, King Abdulaziz University, KSA. In this paper we introduce and ...