BIPARTITE PSEUDO-BL ALGEBRAS

Andrzej Walendziak; Magdalena Wojciechowska-Rysiawa

doi:10.1515/dema-2010-0302

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JOURNAL ARTICLE

BIPARTITE PSEUDO-BL ALGEBRAS

Andrzej Walendziak Magdalena Wojciechowska-Rysiawa

Year: 2010 Journal: Demonstratio Mathematica Vol: 43 (3) Publisher: De Gruyter Open

DOI: 10.1515/dema-2010-0302

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Abstract

The class of bipartite pseudo-BL algebras (denoted by BP) and the class of strongly bipartite pseudo-BL algebras (denoted by BPo) are investigated.We prove that the class BPo is a variety and show that BP is closed under subalgebras and arbitrary direct products but it is not a variety.We also study connections between bipartite pseudo-BL algebras and other classes of pseudo-BL algebras.

Keywords:

Mathematics Bipartite graph Pure mathematics Algebra over a field Combinatorics Graph

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Advanced Algebra and Logic

Physical Sciences → Computer Science → Computational Theory and Mathematics

Algebraic structures and combinatorial models

Physical Sciences → Mathematics → Geometry and Topology

Fuzzy and Soft Set Theory

Social Sciences → Decision Sciences → Management Science and Operations Research

BIPARTITE PSEUDO-BL ALGEBRAS

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