On Centrally Regular Modules and Centrally Semiregular Modules

Adil Kadir Jabbar

College of Science, University of Sulaimani

DOI: https://doi.org/10.17656/jzs.10198

Abstract

In this paper, two new modules are defined, which we call centrally regular and centrally semiregular

modules and several properties of them are proved. Also, we have determined so many conditions under

which regular (resp. semiregular) modules and centrally regular (resp. centrally semiregular) modules are

equivalent.

Keywords: regular modules, semiregular modules, small modules,centrally regular

modules, centrally semiregular modules.

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