Subdirect products of an idempotent semiring and a b-lattice of skew-rings

R. Debnath, S. K. Maity, Anjan Kumar Bhuniya · Asian-European Journal of Mathematics · 2021

Bandelt and Petrich [Subdirect products of rings and distributive lattices, Proc. Edinburgh Math. Soc. (2) 25(2) (1982) 155–171] characterized a class of additive inverse semirings which are subdirect products of a distributive lattice and a ring. The aim of this paper is to characterize a class of additively regular semirings which are subdirect products of an idempotent semiring and a [Formula: see text]-lattice of skew-rings.

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