s-Compressible and s-Prime Modules | Zendy

Asaad M. A. Alhossaini | Zendy

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s-Compressible and s-Prime Modules

Author(s) -

Asaad M. A. Alhossaini

Publication year - 2022

Publication title -

iraqi journal of science

Language(s) - English

Resource type - Journals

eISSN - 2312-1637

pISSN - 0067-2904

DOI - 10.24996/ijs.2022.63.3.25

Subject(s) - prime (order theory) , mathematics , compressibility , identity (music) , ring (chemistry) , pure mathematics , discrete mathematics , combinatorics , physics , mechanics , acoustics , chemistry , organic chemistry

Let R be a ring with identity and Ą a left R-module. In this article, we introduce new generalizations of compressible and prime modules, namely s-compressible module and s-prime module. An R-module A is s-compressible if for any nonzero submodule B of A there exists a small f in HomR(A, B). An R-module A is s-prime if for any submodule B of A, annR (B) A is small in A. These concepts and related concepts are studied in as well as many results consist properties and characterizations are obtained.

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