شماره ركورد كنفرانس
5263
عنوان مقاله
Totally Hopfian Modules
پديدآورندگان
Safaeeyan Saeed safaeeyan@yu.ac.ir Department of Mathematics, Yasouj University, Yasouj, 75914, Iran.
تعداد صفحه
4
كليدواژه
Ring , Module , Hopfian Module , Co , Hopfian Module , totally Hopfian Modules
سال انتشار
1402
عنوان كنفرانس
54 امين كنفرانس رياضي ايران
زبان مدرك
انگليسي
چكيده فارسي
In the present paper, a right R-module M is said to be totally Hopfian if any f ∈ EndR(M) with this property that, for each positive integer n, Imf n is an essential submodule of M, is a monomorphism. The class of totally Hopfian modules lies properly between the class of strongly Hopfian modules and the class of Hopfian modules. We show that for endoregular modules, the concepts of the Hopficity, co-Hopficity, totally Hopficity and strongly Hopficity coincide.
كشور
ايران
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