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2021•Journal of Physics Conference SeriesOpen access

Small-Essentially Pseudo-Injective Modules

Zainab Raad Shaker, Mahdi Saleh Nayef

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Abstract

Abstract Let R be associative ring with unit element and X be unitary right R-module. In this work, we introduce the definition of the concept small-essentially pseudo injective module (shortly, S-Ess-pseudo injective). Many properties of this concept are introduced and also we are consider some of their characterizations. Furthermore, we are studied the relation between our concept and some known R-modules and give some results on their endomorphism rings.

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Abstract Let R be associative ring with unit element and X be unitary right R-module. In this work, we introduce the definition of the concept small-essentially pseudo injective module (shortly, S-Ess-pseudo injective). Many properties of this concept are introduced and also we are consider some of their characterizations. Furthermore, we are studied the relation between our concept and some known R-modules and give some results on their endomorphism rings.

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Available abstract

Abstract Let R be associative ring with unit element and X be unitary right R-module. In this work, we introduce the definition of the concept small-essentially pseudo injective module (shortly, S-Ess-pseudo injective). Many properties of this concept are introduced and also we are consider some of their characterizations. Furthermore, we are studied the relation between our concept and some known R-modules and give some results on their endomorphism rings.

Key concepts: Injective function, Mathematics, Unitary state, Endomorphism, Associative property, Pure mathematics, Endomorphism ring, Injective module

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