Negation in bounded commutative DRl-monoids

被引：11
|
作者：
Rachunek, Jiri [1 ]
Slezak, Vladimir [1 ]
机构：
[1] Palacky Univ, Fac Sci, Dept Algebra & Geometry, Olomouc 77900, Czech Republic
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2006年 / 56卷 / 02期
关键词：
DRl-monoid; MV-algebra; BL-algebra; Brouwerian algebra; negation;
D O I：
10.1007/s10587-006-0053-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The class of commutative dually residuated lattice ordered monoids (DRl-monoids) contains among others Abelian lattice ordered groups, algebras of Hajek's Basic fuzzy logic and Brouwerian algebras. In the paper, a unary operation of negation in bounded DRl-monoids is introduced, its properties are studied and the sets of regular and dense elements of DRl-monoids are described.
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页码：755 / 763
页数：9
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