期刊论文详细信息
Mathematica Slovaca | |
On decomposition of pseudo BL-algebras | |
Tomasz Kowalski1  Anatolij Dvurečenskij1  | |
关键词: pseudo MV-algebra; pseudo BL-algebra; pseudo hoop; idempotent; â„“-group; unital â„“-group; Wajsberg algebra; | |
DOI : 10.2478/s12175-011-0014-5 | |
学科分类:数学(综合) | |
来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute | |
【 摘 要 】
We show that under some conditions, imposed on coatoms and maximal idempotents of a pseudo BL-algebra, we can decompose a pseudo BL-algebra M as an ordinal sum and we show that then M is linearly ordered. We investigate pseudo BL-algebras with a unique coatom a and with a maximal idempotent, and analyze two main situations: either a n = a n+1 holds for some n ≥ 1, or a n > a n+1 hold for any n ≥ 1. We note that there exist (subdirectly irreducible) algebras with two coatoms that are not linearly ordered, so the restriction to a single coatom is natural.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912080690843ZK.pdf | 255KB | download |