Displaying similar documents to “Axiomatizing quantum MV-algebras.”

Integral closure in MV-algebras.

L. Peter Belluce (2000)

Mathware and Soft Computing

Similarity:

We study the consequences of assuming on an MV-algebra A that Σnx exists for each x belonging to A.

Directoids with sectionally antitone involutions and skew MV-algebras

Ivan Chajda, Miroslav Kolařík (2007)

Mathematica Bohemica

Similarity:

It is well-known that every MV-algebra is a distributive lattice with respect to the induced order. Replacing this lattice by the so-called directoid (introduced by J. Ježek and R. Quackenbush) we obtain a weaker structure, the so-called skew MV-algebra. The paper is devoted to the axiomatization of skew MV-algebras, their properties and a description of the induced implication algebras.