Quasi-orthomodular Posets and Weak BCK-algebras

被引：12

作者：

Cirulis, Janis ^{[1
]}

机构：

[1] Univ Latvia, Fac Comp, LV-1586 Riga, Latvia

来源：

ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS | 2014年 / 31卷 / 03期

关键词：

Generalized orthoalgebra; Generalized orthomodular lattice; Generalized orthomodular poset; Nearlattice; Orthogonality; Orthomodular poset; Quasi-orthomodular poset; Relatively orthocomplemented poset; Sectionally orthocomplemented poset; Weak BCK-algebra; CONGRUENCE KERNELS; SYSTEMS; AXIOMS;

D O I：

10.1007/s11083-013-9309-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A quasi-orthomodular poset is defined to be a poset with 0 equipped with an orthogonality relation satisfying certain axioms. The goal of the paper is to compare such posets (also semilattices, nearlattices and lattices) with several other kinds of posets having an appropriate structure and already known in the literature: generalized orthomodular posets and lattices, generalized orthoalgebras, sectionally orthocomplemented, sectionally orthomodular and relatively orthocomplemented posets and meet semilattices, semi-orthomodular lattices, weak BCK-algebras.

引用

页码：403 / 419

页数：17