Open AccessSmall-Essentially Pseudo-Injective Modules
Author(s) -
Zainab Raad Shaker,
Mahdi Saleh Nayef
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1963/1/012118
Subject(s) - injective function , mathematics , unitary state , endomorphism , associative property , pure mathematics , endomorphism ring , injective module , ring (chemistry) , element (criminal law) , module , unit (ring theory) , relation (database) , discrete mathematics , algebra over a field , computer science , chemistry , mathematics education , organic chemistry , database , political science , law
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.