Geodesic
On fully idempotent semimodules
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2019), pp. 39-51

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Let $S$ be a semiring and $M$ an $S$-semimodule. Let $N$ and $L$ be subsemimodules of $M$. Set $N\star L:= Hom_{S}(M,L)N=\sum\{\varphi(N)\mid \varphi\in Hom_{S}(M,L)\}$. Then $N$ is called an idempotent subsemimodule of $M$, if $N=N\star N$. An $S$-semimodule $M$ is called fully idempotent if every subsemimodule of $M$ is idempotent. In this paper we study the concept of fully idempotent semimodules as a generalization of fully idempotent modules and investigate some properties of idempotent subsemimodules of multiplication semimodules. 
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     title = {On fully idempotent semimodules},
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}
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Rafieh Razavi Nazari; Shaban Ghalandarzadeh. On fully idempotent semimodules. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2019), pp. 39-51. http://geodesic.mathdoc.fr/item/BASM_2019_1_a3/