Abstract
In this paper, ⨁-supplemented semimodules are defined as generalizations of ⨁-supplemented modules. Let S be a
semiring. An S-semimodule A is named a⨁-supplemented semimodule, if every subsemimodule of A has a supplement
which is a direct summand of A. In this paper, we investigate some properties of⨁-supplemented semimodules besides
generalize certain results on ⨁-supplemented modules to semimodules
semiring. An S-semimodule A is named a⨁-supplemented semimodule, if every subsemimodule of A has a supplement
which is a direct summand of A. In this paper, we investigate some properties of⨁-supplemented semimodules besides
generalize certain results on ⨁-supplemented modules to semimodules
Keywords
(Completely) ⨁-supplemented semimodules
Semiperfect semimodules
Supplemented semimodules
Keywords
وحدات شبه متكاملة، وحدات شبه متكاملة (كاملة) ⨁، وحدات شبه متكاملة