Dedekind complete commutative BCK-algebras

被引：1
|
作者：
Dvurecenskij, A
Graziano, MG
机构：
[1] Slovak Acad Sci, Inst Math, SK-81473 Bratislava, Slovakia
[2] Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy
来源：
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS | 2000年 / 17卷 / 01期
关键词：
atomic BCK-algebra; commutative BCK-algebra; Dedekind complete BCK-algebra; relative cancellation property; subdirect product; universal group;
D O I：
10.1023/A:1006409215452
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study Dedekind complete commutative BCK-algebras with the relative cancellation property and their connection with corresponding universal groups. We shall characterize Dedekind orthogonally complete atomic and Archimedean BCK-algebras, generalizing results of Jakubik known for MV-algebras. Finally, we characterize those Dedekind complete and atomic commutative BCK-algebras that are isomorphic to direct products of basic BCK-chains, generalizing a result of Cignoli for MV-algebras.
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页码：23 / 41
页数：19
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