J 2008

Projective sup-algebras: a general view

PASEKA, Jan

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

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Netherlands

Confidentiality degree

není předmětem státního či obchodního tajemství

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

International impact, Reviewed
Změněno: 25/6/2009 15:17, prof. RNDr. Jan Paseka, CSc.

Abstract

V originále

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.

In Czech

Definujeme K-flat projektivitu. Charakterizujeme ji jak externe tak interne.

Links

GA201/06/0664, research and development project
Name: Kategoriální metody teorie struktur
Investor: Czech Science Foundation