On characterization of $J_{\delta_{ss}}$-supplemented modules

Document Type : Research Paper

Author

Vocational School of Technical Sciences‎, ‎Amasya University, Amasya‎, ‎Turkey.‎‎

Abstract

‎Let an $S$-module $J$ be the ideal of $S$‎. ‎An $S$-module ‎$‎X‎$‎ is called $J_{\delta_{ss}}$-supplemented provided that there is a direct summand W of X with $X=Y+W$‎, ‎$Y\cap W\leq Soc_{\delta}(W)$ and $Y\cap W \subseteq WJ$ for each submodule $Y$ of a right module‎. ‎In this article‎, ‎the important features of this notion is presented‎, ‎its comparison with $\oplus_{ss}$-supplemented and $\delta{ss}$-supplemented modules is given‎.

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