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Lindelof tightness and the Dedekind-MacNeille completion of a regular sigma-frame
, completion of a regular sigma-frame A is a frame. Moreover, the embedding of A in its semilattices and semilattice homomorphisms.Since every regular sigma-frame is the cozero part of a regul...
Pure mathematics
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Another proof of Banaschewski's surjection theorem
of complete uniform frames) to quasi-uniformities ("not necessarily symmetric uniformities"). Further, we show how a (regular) Cauchy point on a closed uniform sublocale can be extended to a (regular) Ca...
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Completion and Samuel compactification of nearness and uniform frames
It is shown that the familiar description of the completion of a uniform frame in terms of its Samuel compactification can be extended to arbitrary nearness frames. This is achieved by means of the following new notion, a v...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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The Other Closure and Complete Sublocales
Sublocales of a locale (frame, generalized space) can be equivalently represented by frame congruences. In this paper we discuss, a.o., the sublocales corresponding to complete congruences, that is, to frame congru...
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
- 2018 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Regular Monomorphisms of Hausdorff Frames
Regular monomorphisms in the category of Hausdorff frames are characterized by means of a naturally defined closure operator. (Even) for the spatial Hausdorff frames, regular homomorphisms do not generally coincide...
BA - Obecná matematika
- 2001 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A BOOLEAN EXTENSION OF A FRAME AND A REPRESENTATION OF DISCONTINUITY
Point-free modeling of mappings that are not necessarily continuous has been so far based on the extension of a frame to its frame of sublocales, mimicking S-c(L) of a frame L, which is, a.o., Boolean and idempotent. Doing ...
Pure mathematics
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Nearness, Subfitness and Sequential Regularity
A frame L admits a nearness iff it is subfit. A each sublocale of a frame L admits a nearness iff L is sequentially regular (fit)....
BA - Obecná matematika
- 2000 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On bases of identities of finite central locally orthodox completely regular semigroups
It has been known for a long time that every finite orthodox completely regular semigroup has a finite basis of identities, and that every finite central completely locally orthodox completely regular semi...
Pure mathematics
- 2021 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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A constructive view of complete regularity
A variant of complete regularity relating to other topological properties without choice principles.
BA - Obecná matematika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On singleton kernel classes in the lattice of varieties of completely regular semigroups
, the variety HU of all completely regular semigroups all of whose subgroups belong to U is minimal in its kernel class in the lattice L(CR) of all varieties of completely regular semigroups, and hence it constitut...
Pure mathematics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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