| Autor: |
Hamad, Amina T., Elewi, Alaa A. |
| Předmět: |
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| Zdroj: |
AIP Conference Proceedings; 2023, Vol. 2414 Issue 1, p1-7, 7p |
| Abstrakt: |
As a dual of essential submodule , Takechi defines a coessential submodule. Let Ε be a unitary left R-module on associative ring R with identity , a submodule 퐅 of Ε is called coessential submodule of a submodule 퐋 in Ε where 퐅≤퐋≤횬 ,if 퐋 퐅 ≪ 횬 퐅 .Also Golar defines a coclosed submodule provided it has noproper coessential submodule in Ε. A submodule 퐅 of an R-module E is called supplement of 퐕 퐢퐟 퐄=퐅+퐕 퐚퐧퐝 퐅∩퐕≪퐅 , an R-module is called supplemented if every submodule of E is supplement. In this paper we study Ζ-Coessential submodule and Ζ-Coclosed submodule as generalizations of coessential and coclosed submodules. We give many properties related with these types of submodules. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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