THE VARIETY OF SEMIRINGS GENERATED BY DISTRIBUTIVE LATTICES AND FINITE FIELDS

被引：3

作者：

Shao, Yong ^{[1
]}

Crvenkovic, Sinisa ^{[2
]}

Mitrovic, Melanija ^{[3
]}

机构：

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

[2] Univ Novi Sad, Dept Math & Informat, Novi Sad 21000, Serbia

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

来源：

PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD | 2014年 / 95卷 / 109期

基金：

中国博士后科学基金;

关键词：

finite field; distributive lattice; subdirectly irreducible; variety; SUBDIRECT PRODUCTS; PRIMITIVE CLASSES; ARITHMETIC RINGS;

D O I：

10.2298/PIM1409101S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A semiring variety is d-semisimple if it is generated by the distributive lattice of order two and a finite number of finite fields. A d-semisimple variety V = HSP{B-2,F-1,..., F-k} plays the main role in this paper. It will be proved that it is finitely based, and that, up to isomorphism, the two-element distributive lattice B-2 and all subfields of F-1,... F-k, are the only subdirectly irreducible members in it.

引用

页码：101 / 109

页数：9

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