Filtry
Orthomodular and Skew Orthomodular Posets
We present the smallest non-lattice orthomodular poset and show that it is unique up to isomorphism. Since not every Boolean poset is orthomodular, we consider contains all Boolean posets and we study its ...
Pure mathematics
- 2023 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Boolean subalgebras of orthoalgebras
We develop a direct method to recover an orthoalgebra from its poset of Boolean to characterize in purely order-theoretic terms those posets that are isomorphic to the poset of Boolean subalgebras of an or...
Pure mathematics
- 2019 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On Frink Ideals in Orthomodular Posets
Let S denote the class of orthomodular posets in which all maximal Frink ideals are selective. Let R (resp. T) be the class of orthomodular posets defined by the validity, a boolean AND b = 0 double right arrow a <= b' hold...
Pure mathematics
- 2021 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Some Nearly Boolean orthomodular Posets
BA - Obecná matematika
- 1998 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Conditions that Force an Orthomodular Poset to be a Boolean Algebra.
BA - Obecná matematika
- 1997 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Sublattices and delta-blocks of orthomodular posets
an orthomodular poset or, more general, an orthoposet. We introduce a binary relation delta and the commutator c(x,y) known for orthomodular lattices. We characterize orthomodular posets subalgebras of such orthomodular posets<...
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
- 2020 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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 •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Orthocomplemented Posets with a Symmetric Difference
We endow orthocomplemented posets with a binary operation-an abstract symmetric difference of sets-and we study algebraic properties of this class, ODP....
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Ring-like algebras associated with symmetric difference
We generalize the ono-to-one correspondence between Boolean algebras and Boolean rings to the so-called difference lattices and commutative strong difference ring-like algberas. We show that difference ring-like algberas induce some...
BA - Obecná matematika
- 2012 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Free Boolean algebras over unions of two well orderings
Given a partially ordered set P there exists the most general Boolean algebra (F) over cap (P) which contains P as a generating set, called the free Boolean algebra over P. We study free Boolean algebras over posets
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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