On the semiring variety generated by B0, (B0)*, N2, T2, Z2, W2

被引:0
作者
Wang, Aifa [1 ]
Wang, Lili [1 ]
机构
[1] Chongqing Univ Technol, Sch Sci, Chongqing 400054, Peoples R China
来源
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2023年 / 49期
关键词
semiring; variety; lattice; identity; hereditarily finite based;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study the semiring variety generated by B0, (B0)*, N2, T2, Z2, W2. We prove that this variety is finitely based and prove that the lattice of subvarieties of this variety is a distributive lattice of order 1014. Moreover, we deduce this variety is hereditarily finite based.
引用
收藏
页码:426 / 438
页数:13
相关论文
共 14 条
[1]  
Burris S, 1981, COURSE UNIVERSAL ALG
[2]   Congruence-simple semirings [J].
El Bashir, Robert ;
Kepka, Tomas .
SEMIGROUP FORUM, 2007, 75 (03) :589-609
[3]   On free semilattice-ordered semigroups satisfying x n =x [J].
Gajdos, Petr ;
Kuril, Martin .
SEMIGROUP FORUM, 2010, 80 (01) :92-104
[4]   Varieties generated by ordered bands I [J].
Ghosh, S ;
Pastijn, F ;
Zhao, XZ .
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2005, 22 (02) :109-128
[5]  
Golan J. S., 1992, The Theory of Semirings with Applications in Mathematics and Theoretical Computer Science
[6]  
Howie J.M., 1995, London Mathematical Society Monographs. New Series, V12
[7]   On varieties of semilattice-ordered semigroups [J].
Kuril, M ;
Polák, L .
SEMIGROUP FORUM, 2005, 71 (01) :27-48
[8]  
lazek K. G, 2001, A guide to the literature on semirings and their applications in mathematics and information science
[9]   Varieties generated by ordered bands II [J].
Pastijn, F .
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2005, 22 (02) :129-143
[10]   Varieties of idempotent semirings with commutative addition [J].
Pastijn, F ;
Zhao, XZ .
ALGEBRA UNIVERSALIS, 2005, 54 (03) :301-321