Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598223 | Journal of Pure and Applied Algebra | 2007 | 11 Pages |
Abstract
We decompose every linear pseudo hoop as an Aglianò-Montagna type of ordinal sum of linear Wajsberg pseudo hoops which are either negative cones of linear â-groups or intervals in linear unital â-groups with strong unit. We apply the decomposition to present a new proof that every linear pseudo BL-algebra and consequently every representable pseudo BL-algebra is good. Moreover, we show that every maximal filter and every value of a linear pseudo hoop is normal, and every Ï-complete linear pseudo hoop is commutative.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Anatolij DvureÄenskij,