BCK-monoids

Mathematica Slovaca

N. Subrahmanyam¹ 

关键词: pseudo BCK-algebra;    extended BCK-algebra;    residuated lattice;    BCK-monoid;    hoop monoid;    Wajsberg monoid;    Iséki monoid;   

DOI  :  10.2478/s12175-010-0001-2

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

We generalize the notions of a pseudo BCK-algebra and a residuated lattice by introducing, respectively, extended BCK-algebras and BCK-monoids, and prove a decomposition theorem for BCK-monoids, generalising a decomposition theorem of Galatos and Tsinakis for GBL-algebras. Also, we specialise this theorem to hoop monoids and Wajsberg monoids, which generalize, respectively, GBL-algebras and GMV-algebras. Finally, we include a discussion on Iséki monoids, which extend the concept of left pseudo Iséki algebras of Iorgulescu.

【 授权许可】

Unknown