Geodesic
On some Morita invariant radicals of semirings
Discussiones Mathematicae. General Algebra and Applications, Tome 43 (2023) no. 1, pp. 85-100

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In this paper we prove that if R and S are Morita equivalent semirings via Morita context (R,S,P,Q,θ,ϕ), then there exists a one-to-one inclusion preserving correspondence between the set of all prime ((right) strongly prime, uniformly strongly prime) ideals of R and the set of all prime (resp. (right) strongly prime, uniformly strongly prime) subsemimodules of P. We also show that prime radicals, (right) strongly prime radicals, uniformly strongly prime radicals are preserved under Morita equivalence of semirings.
Keywords: Morita context, Morita equivalence, semiring, semimodule, radical, prime subsemimodule, strongly prime subsemimodule, uniformly strongly prime, subsemimodule 
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Das, Monali; Sardar, Sujit Kumar. On some Morita invariant radicals of semirings. Discussiones Mathematicae. General Algebra and Applications, Tome 43 (2023) no. 1, pp. 85-100. http://geodesic.mathdoc.fr/item/DMGAA_2023_43_1_a7/