Mathematica Slovaca | |
Local pseudo-BCK algebras with pseudo-product | |
Lavinia Ciungu1  | |
关键词: pseudo-BCK algebra; deductive system; local pseudo-BCK(pP) algebra; good pseudo-BCK(pP) algebra; maximal deductive system; normal deductive system; primary deductive system; perfect pseudo-BCK(pP) algebra; radical; | |
DOI : 10.2478/s12175-011-0001-x | |
学科分类:数学(综合) | |
来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute | |
【 摘 要 】
Pseudo-BCK algebras were introduced by G. Georgescu and A. Iorgulescu as a generalization of BCK algebras in order to give a corresponding structure to pseudo-MV algebras, since the bounded commutative BCK algebras correspond to MV algebras. Properties of pseudo-BCK algebras and their connections with other fuzzy structures were established by A. Iorgulescu and J. Kühr. The aim of this paper is to define and study the local pseudo-BCK algebras with pseudo-product. We will also introduce the notion of perfect pseudo-BCK algebras with pseudo-product and we will study their properties. We define the radical of a bounded pseudo-BCK algebra with pseudo-product and we prove that it is a normal deductive system. Another result consists of proving that every strongly simple pseudo-hoop is a local bounded pseudo-BCK algebra with pseudo-product.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912080690834ZK.pdf | 294KB | download |