VARIETIES OF SKEW BOOLEAN ALGEBRAS WITH INTERSECTIONS

被引：0
作者：
Leech, Jonathan [1 ]
Spinks, Matthew [2 ]
机构：
[1] Westmont Coll, Dept Math, Santa Barbara, CA 93018 USA
[2] Univ Cagliari, Dept Philosophy, I-09123 Cagliari, Italy
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2017年 / 102卷 / 02期
关键词：
skew Boolean algebras; intersections; (sub) directly irreducible algebras; lattice of (quasi-) varieties; discriminator varieties; STONE DUALITY; LATTICES;
D O I：
10.1017/S144678871600015X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Skew Boolean algebras for which pairs of elements have natural meets, called intersections, are studied from a universal algebraic perspective. Their lattice of varieties is described and shown to coincide with the lattice of quasi-varieties. Some connections of relevance to arbitrary skew Boolean algebras are also established.
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收藏
页码：290 / 306
页数：17
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