PASEKA, Jan. Projective sup-algebras: a general view. Topology and its Applications. 2008, vol. 155, No 4, p. 308-317. ISSN 0166-8641.
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Basic information
Original name Projective sup-algebras: a general view
Name in Czech Projektivní sup-algebry: obecný pohled
Authors PASEKA, Jan (203 Czech Republic, guarantor).
Edition Topology and its Applications, 2008, 0166-8641.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Netherlands
Confidentiality degree is not subject to a state or trade secret
Impact factor Impact factor: 0.362
RIV identification code RIV/00216224:14310/08:00024619
Organization unit Faculty of Science
UT WoS 000252768200015
Keywords in English Projective sup-algebras; Frame; Quantale; K-comonad
Tags frame, K-comonad, Projective sup-algebras, quantale
Tags International impact, Reviewed
Changed by Changed by: prof. RNDr. Jan Paseka, CSc., učo 1197. Changed: 25/6/2009 15:17.
Abstract
We begin with the notion of K-flat projectivity. For each sup-algebra L we then introduce a binary relation left triangle, openL on it. The K-flat projective sup-algebras are exactly such sup-algebras with each element a approximated by the element x, xleft triangle, openLa and the relation left triangle, openL being stable with respect to the operations on L. Further on, we introduce the notion of a K-comonad and characterize K-flat projective sup-algebras as such sup-algebras having a coalgebra structure for the K-comonad.
Abstract (in Czech)
Definujeme K-flat projektivitu. Charakterizujeme ji jak externe tak interne.
Links
GA201/06/0664, research and development projectName: Kategoriální metody teorie struktur
Investor: Czech Science Foundation
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