P-DENSE SUBMODULES

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KHABAZIAN HOSSEIN; SAFAEEYAN SAEID

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Journal: JOURNAL OF MATHEMATICAL EXTENSION Year:2008 | Volume:3 | Issue:1 Page(s): 95-105

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Information Journal Paper

Title

P-DENSE SUBMODULES

Author(s)

KHABAZIAN HOSSEIN | SAFAEEYAN SAEID | Issue Writer Certificate

Keywords

P-DONSE SUBMODULE AND RIGHT KASCH MODULEQ2

Abstract

Let M and P be right R-modules. A submodule K of an R-module M is called P-dense if for each m Î M; (K: m) is a P-faithful right ideal of R: PR is nonsingular if and only if, for each R-module M; every essential submodule of M is a P-dense submodule. For any R-module M, we obtain P-rational extention of M and equivalent condition in order that M is equal with its P-rational extention is found. An R-module P is called right Kasch if every simple R-module can be embedded in P: Finally, we given some equivalent conditions for an R-module P to be right Kasch.

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APA: Copy

KHABAZIAN, HOSSEIN, & SAFAEEYAN, SAEID. (2008). P-DENSE SUBMODULES. JOURNAL OF MATHEMATICAL EXTENSION, 3(1), 95-105. SID. https://sid.ir/paper/240025/en

Vancouver: Copy

KHABAZIAN HOSSEIN, SAFAEEYAN SAEID. P-DENSE SUBMODULES. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2008;3(1):95-105. Available from: https://sid.ir/paper/240025/en

IEEE: Copy

HOSSEIN KHABAZIAN, and SAEID SAFAEEYAN, “P-DENSE SUBMODULES,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 3, no. 1, pp. 95–105, 2008, [Online]. Available: https://sid.ir/paper/240025/en

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