Weak MV-algebras

被引：4
|
作者：
Halas, Radomir [1 ]
Plojhar, Lubos [1 ]
机构：
[1] Palacky Univ Olomouc, Dept Algebra & Geometry, Cz Olomouc, Czech Republic
来源：
MATHEMATICA SLOVACA | 2008年 / 58卷 / 03期
关键词：
MV-algebra; lambda-lattice; (section) involution;
D O I：
10.2478/s12175-008-0071-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In a recent paper [CHAJDA, I.-KUHR, J.: A non-associative generalization of MV-algebras, Math. Slovaca 57, (2007), 301-312], authors introduced and studied a non-associative generalization of MV-algebras called NMV-algebras. In contrast to MV-algebras, sections (i.e. principal filters) in NMV-algebras which are proper (i.e. are not MV-algebras), do not admit a structure of an NMV-algebra with respect to the operations defined in a natural way. The aim of the paper is to present a new class of algebras generalizing MV-algebras but sharing the above property.
引用
收藏
页码：253 / 262
页数：10
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