Ideals of noncommutative DRl-monoids

被引:10
作者
Kühr, J [1 ]
机构
[1] Palacky Univ, Fac Sci, Dept Algebra & Geometry, Olomouc 77900, Czech Republic
关键词
dually residuated lattice ordered monoid; ideal; normal ideal;
D O I
10.1007/s10587-005-0006-0
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we introduce the concept of an ideal of a noncommutative dually residuated lattice ordered monoid and we show that congruence relations and certain ideals are in a one-to-one correspondence.
引用
收藏
页码:97 / 111
页数:15
相关论文
共 12 条
[1]  
Chajda I., 2000, DEMONSTRATIO MATH, V33, P213
[2]  
CHAJDA I, 2000, SE ASIAN B MATH, V24, P15
[3]  
DINOLA A, 2002, MULTIPLE VALUED LOGI, V8, P673
[4]  
DUURECENSKIJ A, 2001, SOFT COMP, V5, P347
[5]   Pseudo MV-algebras are intervals in l-groups [J].
Dvurecenskij, A .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2002, 72 :427-445
[6]  
Georgescu G., 2001, Multiple-Value Logic, V6, P95
[7]  
Gratzer G, 1998, General Lattice Theory
[8]  
KOVAR T, 1996, THESIS PALACKY U OLO
[9]   A non-commutative generalization of MV-algebras [J].
Rachunek, J .
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2002, 52 (02) :255-273
[10]  
RACHUNEK J, 1987, CZECH MATH J, V112, P65