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Lex Ideals of Generalized MV-Algebras

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Combinatorics, Computability and Logic

Part of the book series: Discrete Mathematics and Theoretical Computer Science ((DISCMATH))

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Abstract

The notion of a GMV-algebra (or a pseudo MV-algebra) is a non-commutative generalization of that of an MV-algebra. Using connections between GMV-algebras and unital l-groups, we describe the ordered sets of prime and regular ideals of GMV-algebras induced on principal ideals, study lexicographic extensions of ideals of GMV-algebras and describe basic GMV-algebras.

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Author information

Authors and Affiliations

  1. Department of Algebra and Geometry, Palacký University, Olomouc, Czech Republic

    Daniel Hort & Jiří Rachůnek

Authors
  1. Daniel Hort
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  2. Jiří Rachůnek
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Auckland, Auckland, New Zealand

    C. S. Calude  & M. J. Dinneen  & 

  2. Faculty of Mathematics and Computer Science, “Ovidius” University, Constanta, Romania

    S. Sburlan

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© 2001 Springer-Verlag London Limited

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Hort, D., Rachůnek, J. (2001). Lex Ideals of Generalized MV-Algebras. In: Calude, C.S., Dinneen, M.J., Sburlan, S. (eds) Combinatorics, Computability and Logic. Discrete Mathematics and Theoretical Computer Science. Springer, London. https://doi.org/10.1007/978-1-4471-0717-0_11

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  • DOI: https://doi.org/10.1007/978-1-4471-0717-0_11

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-526-7

  • Online ISBN: 978-1-4471-0717-0

  • eBook Packages: Springer Book Archive

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