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On epicomplete MV -algebras
-algebras. A relation between injective MV-algebras and epicomplete MV-algebras is found, an equivalent condition for an MV-algebra to be epicomplete is obtained, and it is shown that the...
Pure mathematics
- 2018 •
- Jimp
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Jimp - Článek v periodiku v databázi Web of Science
Remarks on pseudo-MV-algebras
Pseudo MV-algebras are non-commutative generalization of MV-algebras. We show that every pseudo MV-algebra is isomorphic to the algebra of action functions. We define difference functions...
BA - Obecná matematika
- 2009 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
MV-algebras and their corresponding Bézout domains
The paper studies the interplay between MV-algebras, Bezout domains, and Abelian l-groups, which was initiated by Y. C. Yang in 2006. For each MV-algebra M corresponding to M. We study Boolean elements and ideals w...
Pure mathematics
- 2024 •
- Jimp •
- Link
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Orthocomplete pseudo MV-algebras
Pseudo MV-algebras are a non-commutative generalization of MV-algebras-algebras. We use the concepts of projectable pseudo MV-algebras and large pseudo MV-subalgebras to introduc...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
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A note on interval MV-algebras
We show that every interval of an MV-algebra M is an MV-algebra again; the operations on the interval are defined by certain polynomial functions over M....
BA - Obecná matematika
- 2006 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Modifications of MV-algebras corresponding to strong ortholattices
It is well-known that prinfipal filters of MV-algebras are de Morgan algebras with involutory complementation. A modification of the notion of an MV-algebra is presented having the property that all princi...
BA - Obecná matematika
- 2005 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Kleene-isomorphic Sigma-complete MV-algebras with product are isomorphic
We prove that the Kleene structure in a sigma-complete MV-algebra with product is sufficient to recover the MV-structure.
JD - Využití počítačů, robotika a její aplikace
- 2006 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Generalized EMV-Effect Algebras
Recently in Dvureenskij and Zahiri (2017), new algebraic structures, called EMV-algebras which generalize both MV-algebras and generalized Boolean algebras, were to generalized MV-effect algeb...
Applied mathematics
- 2018 •
- Jimp •
- Link
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A Cantor-Bernstein theorem for S-complete MV-algebras
The Cantor-Bernstein theorem was extended to S-complete boolean algebras by Sikorski and Tarski. Chang's MV-algebras are a nontrivial generalization of boolean theorem to S-complete MV-algebras, and compar...
JD - Využití počítačů, robotika a její aplikace
- 2003 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Some results on pseudo MV-algebras with square roots
The paper provides a study of pseudo MV-algebras with square roots. We introduce different notions of a square root on a pseudo MV-algebra, and present their main properties. We show that the class of pseudo-MV...
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
- 2023 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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