All Reg-solid varieties of commutative semigroups

被引：3

作者：

Koppitz, Joerg ^{[1
]}

机构：

[1] Univ Potsdam, Inst Math, D-14415 Potsdam, Germany

来源：

SEMIGROUP FORUM | 2009年 / 78卷 / 01期

关键词：

Commutative semigroup; Hypersubstitution; Regular solid variety;

D O I：

10.1007/s00233-008-9124-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine all regular solid varieties of commutative semigroups. Each of them is contained in the Reg-hyperequational class V (RC) defined by the associative law and the commutative law, and every subvariety of V (RC) is regular solid. In the present paper, the subvariety lattice of V (RC) will be characterized.

引用

页码：148 / 156

页数：9

共 9 条

[1]

DENECKE K, 1995, TATRA MT MATH PUBL, V5, P35

[2]

DENECKE K, 1995, DISCUSS MATH, V15, P23

[3]

Denecke K., 1995, CONTRIBUTIONS GEN AL, V9, P117

[4]

DENECKE K, 1995, ARCH MATH BRNO, V31, P171

[5]

Denecke K., 1991, CONTRIBUTIONS GENERA, V7, P97

[6] HYPERVARIETIES OF A GIVEN TYPE [J].

GRACZYNSKA, E ;

SCHWEIGERT, D .

ALGEBRA UNIVERSALIS, 1990, 27 (03) :305-318

[7]

Plonka J., 1994, P INT C SUMM SCH GEN, P106

[8] All solid varieties of semigroups [J].

Polák, L .

JOURNAL OF ALGEBRA, 1999, 219 (02) :421-436

[9]

Taylor W., 1981, AEQUATIONES MATH, V23, P30

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