一类加法完全单半环上的同余和同余格

详细信息

Congruence on a class of additive completely simple semiring

摘要: 由于含双幂等元的加法完全单半环S可由加法左零半环I,拟环R和加法右零半环来构造,该文重点用I和上的同余及R中的正规理想构成的容许三元组刻画S的同余和同余格.
- 半环 /
- 加法完全单半环 /
- 同余 /
- 同余格
Abstract: It is known that an additive completely simple semiring S, which contains a bi-idempotent, can be constructed by an additive left zero semiring I. a skew-ring R and an additive right zero semiring . In this paper, the admissible triple group, whose three members come from the normal ideal of R and the congruences of I and , is used to characterize the congruences and the congruence lattice on such S.
- semiring /
- additively complete simple semiring /
- congruence /
- congruence lattice