Almost Quasi-mininjective Modules

CJM Vol. 2 No. 1 (June 2010), pp. 73 – 79.

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Abstract:

Let $M$ be a right $R$-module, $S= \text{End}_R (M).$ The module $M$ is called almost quasi-mininjective (or $AQ$−mininjective ) if, for any simple $M$−cyclic submodule $s(M)$ of $M$, there exists a left ideal $X_s$ of $S$ such that $l_S (Ker(s)) = Ss \oplus X_s$ as left $S$− modules. In this paper, we give some characterizations and properties of $AQ$− mininjective modules.

2000 Mathematics Subject Classification:

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