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Subdirect products of an idempotent semiring and a \(b\)-lattice of skew-rings. (English) Zbl 1491.16045

Summary: H.-J. Bandelt and M. Petrich [Proc. Edinb. Math. Soc., II. Ser. 25, 155–171 (1982; Zbl 0486.16026)] 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 \(b\)-lattice of skew-rings.

MSC:

16Y60 Semirings
16Y99 Generalizations

Citations:

Zbl 0486.16026
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References:

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