Displaying similar documents to “A non-commutative generalization of $MV$-algebras”

Ordered prime spectra of bounded D R l -monoids

Jiří Rachůnek (2000)

Mathematica Bohemica

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Ordered prime spectra of Boolean products of bounded D R l -monoids are described by means of their decompositions to the prime spectra of the components.

A characterization of commutative basic algebras

Ivan Chajda (2009)

Mathematica Bohemica

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A basic algebra is an algebra of the same type as an MV-algebra and it is in a one-to-one correspondence to a bounded lattice having antitone involutions on its principal filters. We present a simple criterion for checking whether a basic algebra is commutative or even an MV-algebra.