Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 531
The extension property for a category of mixed module
Mostafa El Garn
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
February 16, 2022
March 03, 2433
April 15, 2433

Abstract: The characterization of automorphisms having the extension property in the category of modules is an open problem. In earlier works [2,1] the authors solved this problem in the category of direct sum of cyclic torsion-free modules over a BFD and in the category of a direct finite sum of cyclic modules with torsion over a UFD. It is natural to see what happens in other categories. In this paper we extend the result in [1] to a category of a direct finite sum of cyclic modules with torsions. Let A be an Integral Domain. Consider a direct finite sum M= Ax⨁⨁_(i=1)^(i=n) 〖At〗_i of ...