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DeMorgan quasirings
Correspondence between Boolean Algebras and Boolean rings is generalized for DeMorgan algebras and so-called DeMorgan quasirings such that the subalgebra of complemented elements of a DeMorgan algebra form...
BA - Obecná matematika
- 2007 •
- D
Rok uplatnění
D - Stať ve sborníku
Contributions to the Theory of Weakly Distributive Complete Boolean Algebras
We investigate complete Boolean algebras that carry a continuous submeasure...
BA - Obecná matematika
- 2008 •
- C
Rok uplatnění
C - Kapitola v odborné knize
Constructivizability of the Boolean algebra B(?) with a distinguished automorphism
A constructivizability criterion for the Boolean algebra B(?) with a distinguished automorphism is given. As a consequence of the criterion, combined with a result due to I. Sh. Kalimullin, B. M. Khoussainov, and A. G. Melnikov, we ...
AH - Ekonomie
- 2012 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Representation of States on MV-algebras by Probabilities on R-generated Boolean Algebras
Any MV-algebra M can be embedded as a lattice in the Boolean algebra B(M) that is R-generated by M. We relate the study of states on an MV-algebra M to the study of finitely additive probabilities on B(M)....
BA - Obecná matematika
- 2009 •
- D
Rok uplatnění
D - Stať ve sborníku
Orthoalgebras as pastings of Boolean algebras
We correct a mistake in the description of orthoalgebras as pastings of Boolean algebras. We present a corrected structural theorem.
Pure mathematics
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
A common generalization of ortholattices and boolean quasirings
In (2) a common generalization of Boolean algebras and Boolean rings was introduced. In similar way we introduce a common generalization of ortholattices and Boolean quasirings....
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Operators on GMV-algebras
Closure GMV-algebras are introduced as a commutative generalization of closure MV-algebras, which were studied as a natural generalization of topological Boolean algebras....
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Boolean and central elements and Cantor-Bernstein theorem in bounded pseudo-BCK-algebras
Boolean and central elements of bounded pseudo-BCK-algebras are studied. Boolean elements form a largest boolean subalgebra and include central elements, which theoremis proved, generalizing similar results for sig...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A characterization of horizontal sums of Boolean rings
Bijective correspondence between Boolean algebras and Boolean rings was generalized for ortholattices. The aim of the paper is to characterize those ring-like structures that correspond to horizontal sums of Boolean
BA - Obecná matematika
- 2007 •
- D
Rok uplatnění
D - Stať ve sborníku
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 algebras: they stand to the infinite-valued c...
JD - Využití počítačů, robotika a její aplikace
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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