258 research outputs found
On a New Construction of Pseudo BL-Algebras
We present a new construction of a class pseudo BL-algebras, called kite
pseudo BL-algebras. We start with a basic pseudo hoop . Using two injective
mappings from one set, , into the second one, , and with an identical
copy with the reverse order we construct a pseudo BL-algebra
where the lower part is of the form and the upper one is
. Starting with a basic commutative hoop we can obtain even a
non-commutative pseudo BL-algebra or a pseudo MV-algebra, or an algebra with
non-commuting negations. We describe the construction, subdirect irreducible
kite pseudo BL-algebras and their classification
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