Prime spectra of non-commutative generalizations of MV-algebras.

DOI10.1007/PL00012447zbMath1058.06015MaRDI QIDQ1771943

Jiří Rachůnek

Publication date: 19 April 2005

Published in: Algebra Universalis (Search for Journal in Brave)

zbMATH Keywords

MV-algebraŁukasiewicz logicGMV-algebrabilinear logicprime ideal spectrumGrishin algebras

Mathematics Subject Classification ID

Other algebras related to logic (03G25) MV-algebras (06D35) Ordered groups (06F15)

Related Items (20)

Pseudo-BL algebras and pseudo-effect algebras ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ New types of fuzzy filters of BL-algebras ⋮ State operators on GMV algebras ⋮ Derivations on algebras of a non-commutative generalization of the Łukasiewicz logic ⋮ Unnamed Item ⋮ Deductive systems of a cone algebra — I: Semi-ℓg-cones ⋮ Deductive systems of a cone algebra — II: Isomorphism theorem ⋮ Unnamed Item ⋮ Fuzzy prime ideals of pseudo-MV algebras ⋮ Unnamed Item ⋮ \(L\)-algebras, self-similarity, and \(l\)-groups ⋮ Some kinds of \((\overline{\in},\overline{\in}\vee\overline q)\)-fuzzy filters of \(BL\)-algebras ⋮ On Varieties of Pseudo MV-Algebras ⋮ Interval valued \((\in,\in\!\vee\,q)\)-fuzzy filters of pseudo BL-algebras ⋮ Generalizations of pseudo MV-algebras and generalized pseudo effect algebras ⋮ A non commutative generalization of *-autonomous lattices ⋮ Perfect residuated lattice ordered monoids

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