On some generalizations of BCC-algebras

被引：7

作者：

Dudek, Wieslaw A. ^{[1
]}

Thomys, Janus ^{[1
]}

机构：

[1] Wroclaw Univ Technol, Inst Math & Comp Sci, PL-50370 Wroclaw, Poland

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2012年 / 89卷 / 12期

关键词：

weak BCC-algebra; BCC-algebra; branchwise commutative; branchwise implicative weak BCC-algebra; BZ-algebra; branch; condition (S); IDEALS;

D O I：

10.1080/00207160.2012.692782

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe weak BCC-algebras (also called BZ-algebras) in which the condition (xy)z = (xz)y is satisfied only in the case when elements x and y belong to the same branch. We also characterize branchwise commutative and branchwise implicative weak BCC-algebras satisfying this condition. We also describe connections between various types of implicative weak BCC-algebras.

引用

页码：1596 / 1616

页数：21

共 22 条

[1]

[Anonymous], 1986, MATH JAPON

[2] Implication in MV-algebras [J].

Chajda, I ;

Halas, R ;

Kühr, J .

ALGEBRA UNIVERSALIS, 2005, 52 (04) :377-382

[3]

Chajda I., 2002, Mathematica Slovaca, V52, P157

[4]

Chajda I., 2007, DEMONSTRATIO MATH, V40, P759

[5] Distributive implication groupoids [J].

Chajda, Ivan ;

Halas, Radomir .

Central European Journal of Mathematics, 2007, 5 (03) :484-492

[6]

Dudek W. A., 1988, DEMONSTRATIO MATH, V21, P369

[7]

Dudek W.A., 1990, LOG ANAL, V129-130, P103

[8]

Dudek W.A., 1992, B I MATH ACAD SIN, V20, P137

[9]

Dudek W.A., 1990, MATH JAPON, V35, P1131

[10]

Dudek Wieslaw, 1996, PRACE NAUKOWE WSP CZ, V2, P46

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