Complete commutative basic algebras

被引：17

作者：

Botur, Michal ^{[1
]}

Halas, Radomir ^{[1
]}

机构：

[1] Palacky Univ Olomouc, Dept Algrebra & Geometry, Olomouc 77900, Czech Republic

来源：

ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS | 2007年 / 24卷 / 02期

关键词：

lattice; section antitone involution; MV-algebra; basic algebra; residuated groupoid;

D O I：

10.1007/s11083-007-9061-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By a basic algebra is meant an MV-like algebra (A, circle plus, proves, O) of type <2, 1, 0> derived in a natural way from bounded lattices having antitone involutions on their principal filters. In the previous paper (Botur and Halas, Mult. Valued Log. Soft Comp., 2007) we have shown that finite basic algebras for which the operation. is commutative are MV-algebras. In this paper we generalize this result by considering commutative basic algebras for which the underlying lattice is complete.

引用

页码：89 / 105

页数：17

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