JOURNAL ARTICLE
Central elements in pseudoeffect algebras
Year: 2009 Journal: Mathematica Slovaca Vol: 60 (1)Pages: 1-20 Publisher: Springer Science+Business Media
Abstract
Abstract We introduce the definition of pseudoorthoalgebras and discuss some relationships between orthomodular lattices and pseudoorthoalgebras. Then we study the conditions that a pseudoeffect algebra is isomorphic to an “internal direct product” of ideals generated by orthogonal principal elements. At last, we give some characterizations of central elements in pseudoeffect algebras.
Keywords:
Mathematics Algebra over a field Principal (computer security) Direct product Pure mathematics Product (mathematics) Computer science Geometry
Metrics
7
Cited By
1.00
FWCI (Field Weighted Citation Impact)
16
Refs
0.81
Citation Normalized Percentile
Is in top 1%
Is in top 10%
Citation History
Topics
Advanced Algebra and Logic
Physical Sciences → Computer Science → Computational Theory and Mathematics
Rough Sets and Fuzzy Logic
Physical Sciences → Computer Science → Computational Theory and Mathematics
Logic, Reasoning, and Knowledge
Physical Sciences → Computer Science → Artificial Intelligence
Related Documents
JOURNAL ARTICLE
Weak Commutative Pseudoeffect Algebras
Yongjian XieYongming LiJiansheng GuoFang RenDechao Li
Journal: International Journal of Theoretical Physics Year: 2010 Vol: 50 (4)Pages: 1186-1197
JOURNAL ARTICLE
Pseudoeffect Algebras. II. Group Representations
Anatolij DvurečenskijThomas Vetterlein
Journal: International Journal of Theoretical Physics Year: 2001 Vol: 40 (3)Pages: 703-726
JOURNAL ARTICLE
Pseudoeffect Algebras. I. Basic Properties
Anatolij DvurečenskijThomas Vetterlein
Journal: International Journal of Theoretical Physics Year: 2001 Vol: 40 (3)Pages: 685-701
JOURNAL ARTICLE
Congruences and States on Pseudoeffect Algebras
Anatolij DvurečenskijThomas Vetterlein
Journal: Foundations of Physics Letters Year: 2001 Vol: 14 (5)Pages: 425-446