Distributive elements of the lattice of semigroup varieties

被引：0
作者：
Vernikov B.M. [1 ]
Shaprynskii V.Y. [1 ]
机构：
[1] Ural State University, Yekaterinburg 620083
来源：
Algebra and Logic | 2010年 / 49卷 / 3期
基金：
俄罗斯基础研究基金会;
关键词：
Distributive element of lattice; Lattice of varieties; Semigroup; Variety;
D O I：
10.1007/s10469-010-9090-9
中图分类号：
学科分类号：
摘要：
A complete description is given for semigroup varieties, which are distributive elements of the lattice of all semigroup varieties. © 2010 Springer Science+Business Media, Inc.
引用
收藏
页码：201 / 220
页数：19
相关论文
共 14 条
[1]  
Gratzer G., General Lattice Theory, (1978)
[2]  
Volkov M.V., Modular elements of the lattice of semigroup varieties, Contr. Gen. Alg., 16, pp. 275-288, (2005)
[3]  
Vernikov B.M., Special elements in the lattice of overcommutative semigroup varieties, Mat. Zametki, 70, 5, pp. 670-678, (2001)
[4]  
Vernikov B.M., Upper-modular elements of the lattice of semigroup varieties. II, Fundam. Prikl. Mat., 14, 7, pp. 43-51, (2008)
[5]  
Jezek J., McKenzie R.N., Definability in the lattice of equational theories of semigroups, Semigroup Forum, 46, 2, pp. 199-245, (1993)
[6]  
Vernikov B.M., On modular elements of the lattice of semigroup varieties, Comment. Math. Univ. Carol., 48, 4, pp. 595-606, (2007)
[7]  
Vernikov B.M., Lower-modular elements of the lattice of semigroup varieties, Semigroup Forum, 75, 3, pp. 554-566, (2007)
[8]  
Vernikov B.M., Lower-modular elements of the lattice of semigroup varieties. II, Acta Sci. Math. (Szeged), 74, 3-4, pp. 539-556, (2008)
[9]  
Vernikov B.M., Upper-modular elements of the lattice of semigroup varieties, Alg. Univ., 59, 3-4, pp. 405-428, (2008)
[10]  
Vernikov B.M., Volkov M.V., Modular elements of the lattice of semigroup varieties. II, Contr. Gen. Alg., 17, pp. 173-190, (2006)
12