Article ID Journal Published Year Pages File Type
4598223 Journal of Pure and Applied Algebra 2007 11 Pages PDF
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 ℓ-groups or intervals in linear unital ℓ-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 σ-complete linear pseudo hoop is commutative.
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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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