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The Finite Embeddability Property for Residuated Groupoids
class of residuated ordered groupoids has the property. The presented construction improves the computational-complexity upper bound of the universal theory of residuatedA very simple proof of the finite embeddability prop...
BA - Obecná matematika
- 2014 •
- Jx •
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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A note on residuated po-groupoids and lattices with antitone involutions
We discuss connections between left-residuated po-groupoids and the so-called basic algebras, which are a generalization of MV-algebras and orthomodular lattices....
Pure mathematics
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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A note on intervals of residuated l-groupoids
Dvurečenskij and Hyčko recently proved that every interval of a bounded integral divisible residuated l-monoid can be made into a bounded integral residuated l-monoid. In this note we show that this construction essentially works in...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Involutive right-residuated l-groupoids
A common generalization of orthomodular lattices and residuated lattices is provided corresponding to bounded lattices with an involution and sectionally extensive mappings. It turns out that such a generalization can be based on integral ri...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Orthomodular Lattices Can Be Converted into Left Residuated L-groupoids
We show that every orthomodular lattice can be considered as a left residuated lgroupoid satisfying divisibility, antitony, the double negation law and three more additional conditions expressed in the language of residuated structu...
Pure mathematics
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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Groupoids and the Associative Law VII. (Semigroup Distance of SH-Groupoids)
Szasz-Hájek groupoids are those groupoids that contain just one non-associative (ordered) triple of elements. These groupoids were studied by G. Szász. The present short note is concerned with semigroup distances of SH-...
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Locally Hausdorff tight groupoids generalised
We extend Exel’s ample tight groupoid construction to non-ample groupoids, even in the general locally Hausdorff case.
Pure mathematics
- 2021 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Semigroup Distances of Finite Groupoids
The simplest cases of non-associative groupoids are presented by groupoids (so called SH-groupoids) having just one non-associative (ordered) triple of elements. In this paper only SH-groupoids having the simplest ...
BA - Obecná matematika
- 2014 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Groupoids and the Associative Law VIIA. (SH-Groupoids of Type (A,B,A) and their Semigroup Distances)
Szász-Hájek groupoids (shortůy SH-groupoids) are those groupoids that contain just one non-associative (ordered) triple of elements. These groupoids were studied by G. Szász (see (10) amd (11)), P. Hájek (see (2) a...
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Reconstructing étale groupoids from semigroups
We unify various étale groupoid reconstruction theorems such as the following: Kumjian and Renault's reconstruction from a groupoid C∗-algebra, Exel's reconstruction from an ample inverse semigroup, Steinberg's reconstruction from a...
Pure mathematics
- 2021 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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