Covering Morphisms in Categories of Relational Algebras

被引：3

作者：

Clementino, Maria Manuel ^{[1
]}

Hofmann, Dirk ^{[2
]}

Montoli, Andrea ^{[1
]}

机构：

[1] Univ Coimbra, Dept Math, CMUC, P-3001454 Coimbra, Portugal

[2] Univ Aveiro, Dept Matemat, CIDMA, P-3810193 Aveiro, Portugal

来源：

APPLIED CATEGORICAL STRUCTURES | 2014年 / 22卷 / 5-6期

关键词：

Relational algebra; Effective descent morphism; Galois theory; Covering; Connected component; EFFECTIVE DESCENT MORPHISMS; GALOIS THEORY; MAPS;

D O I：

10.1007/s10485-013-9349-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we use Janelidze's approach to the classical theory of topological coverings via categorical Galois theory to study coverings in categories of relational algebras. Moreover, we present characterizations of effective descent morphisms in the categories of M-ordered sets and of multi-ordered sets.

引用

页码：767 / 788

页数：22

共 50 条

[31] Categories of Projective Geometries with Morphisms and Homomorphisms
H.N. Bhattrai
Geometriae Dedicata, 1999, 78 : 111 - 120
[32] Pure morphisms in pro-categories
Adamek, Jiri
Rosicky, Jiri
JOURNAL OF PURE AND APPLIED ALGEBRA, 2006, 207 (01) : 19 - 35
[33] Grammar Morphisms and Weakly Adhesive Categories
Heindel, Tobias
GRAPH TRANSFORMATIONS, ICGT 2008, 2008, 5214 : 493 - 495
[34] MORPHISMS IN CATEGORIES OF REPRESENTATIONS OF EQUIPPED POSETS
Moreno Canadas, Agustin
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2012, 25 (02): : 145 - 176
[35] Lifts of smooth algebras and their morphisms
Arabia, A
COMMENTARII MATHEMATICI HELVETICI, 2001, 76 (04) : 607 - 639
[36] Frobenius morphisms and representations of algebras
Deng, Bangming
Du, Jie
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 358 (08) : 3591 - 3622
[37] BOREL MORPHISMS AND C*-ALGEBRAS
Buneci, Madalina Roxana
HOT TOPICS IN OPERATOR THEORY, CONFERENCE PROCEEDINGS, 2008, : 23 - 37
[38] Morphisms in categories of sets with similarity relations
Mockor, Jiri
PROCEEDINGS OF THE JOINT 2009 INTERNATIONAL FUZZY SYSTEMS ASSOCIATION WORLD CONGRESS AND 2009 EUROPEAN SOCIETY OF FUZZY LOGIC AND TECHNOLOGY CONFERENCE, 2009, : 1282 - 1287
[39] PARTIAL MORPHISMS IN CATEGORIES OF EFFECTIVE OBJECTS
MOGGI, E
INFORMATION AND COMPUTATION, 1988, 76 (2-3) : 250 - 277
[40] ON THE GENERAL-THEORY OF RELATIONAL MORPHISMS
BANDLER, W
KOHOUT, LJ
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 1986, 13 (01) : 47 - 66

← 1 2 3 4 5 →