A VARIATION OF δ,-LIFTING AND δ,-SUPPLEMENTED MODULES WITH RESPECT TO AN EQUIVALENCE RELATION

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Sozen Esra Ozturk

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ISSN: 2588-4824

Journal Paper

Paper Information

Journal: Algebraic structures and their applications Year:2022 | Volume:9 | Issue:1 Page(s): 69-80

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Title

A VARIATION OF δ,-LIFTING AND δ,-SUPPLEMENTED MODULES WITH RESPECT TO AN EQUIVALENCE RELATION

Author(s)

Sozen Esra Ozturk | Issue Writer Certificate

Keywords

Goldie∗

-δ

-lifting module

Goldie∗

-δ

-supplemented module

Abstract

In this paper we introduce Goldie∗,-δ,-supplemented modules as follows. A module M is called Goldie∗,-δ,-supplemented (briefly, G∗,δ,-supplemented) if there exists a δ,-supplement T of M for every submodule A of M such that Aβ,∗,δ,T. We say that a module M is called Goldie∗,-δ,-lifting (briefly, G∗,δ,-lifting) if there exists a direct summand D of M for every submodule A ofM such that Aβ,∗,δ, D. Note that the last concept given in [4] as a δ,-H-supplemented module. We present fundamental properties of these modules. We indicate that these modules lie between δ,-lifting and δ,-supplemented modules. Also we prove that our modules coincide with some variations of δ,-supplemented modules for δ,-semiperfect modules.

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APA: Copy

Sozen, Esra Ozturk. (2022). A VARIATION OF δ,-LIFTING AND δ,-SUPPLEMENTED MODULES WITH RESPECT TO AN EQUIVALENCE RELATION. ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS, 9(1), 69-80. SID. https://sid.ir/paper/1059389/en

Vancouver: Copy

Sozen Esra Ozturk. A VARIATION OF δ,-LIFTING AND δ,-SUPPLEMENTED MODULES WITH RESPECT TO AN EQUIVALENCE RELATION. ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS[Internet]. 2022;9(1):69-80. Available from: https://sid.ir/paper/1059389/en

IEEE: Copy

Esra Ozturk Sozen, “A VARIATION OF δ,-LIFTING AND δ,-SUPPLEMENTED MODULES WITH RESPECT TO AN EQUIVALENCE RELATION,” ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS, vol. 9, no. 1, pp. 69–80, 2022, [Online]. Available: https://sid.ir/paper/1059389/en

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