THE SEMIRING VARIETY GENERATED BY ANY FINITE NUMBER OF FINITE FIELDS AND DISTRIBUTIVE LATTICES

被引：0

作者：

Shao, Yong ^{[1
]}

Ren, Miaomiao ^{[1
]}

Crvenkovic, Sinisa ^{[2
]}

Mitrovic, Melanija ^{[3
]}

机构：

[1] Northwest Univ, Sch Math, Xian, Peoples R China

[2] Univ Novi Sad, Dept Math & Informat, Novi Sad, Serbia

[3] Univ Nis, Fac Mech Engn, Nish, Serbia

来源：

PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD | 2015年 / 98卷 / 112期

关键词：

finite field; distributive lattice; subdirectly irreducible; hereditarily finitely based; variety;

D O I：

10.2298/PIM150404026S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the semiring variety V generated by any finite number of finite fields F-1,..., F-k and two-element distributive lattice B-2, i.e., V = HSP{B-2, F-1,..., F-k}. It is proved that V is hereditarily finitely based, and that, up to isomorphism, B-2 and all subfields of F-1,..., Fk are the only subdirectly irreducible semirings in V.

引用

页码：45 / 51

页数：7

共 25 条

[1] INCIDENCE SEMIRINGS OF GRAPHS AND VISIBLE BASES [J].