Effective Codescent Morphisms in Some Varieties of Universal Algebras

被引：0

作者：

Dali Zangurashvili

机构：

[1] Tbilisi Centre for Mathematical Sciences,Andrea Razmadze Mathematical Institute

来源：

Applied Categorical Structures | 2014年 / 22卷

关键词：

Effective codescent morphism; Variety of universal algebras (with normal forms); Amalgamation property; Term; (Left/right-)quasigroup; Loop; Magma; 18C20; 18C05; 03C05; 18A32; 20N05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The paper gives a sufficient condition formulated in a syntactical form for all codescent morphisms of a variety of universal algebras satisfying the amalgamation property to be effective. This result is further used in proving that all codescent morphisms of (left/right-)quasigroups, loops, and magmas are effective.

引用

页码：241 / 252

页数：11

共 50 条

[1] Effective Codescent Morphisms in Some Varieties of Universal Algebras
Zangurashvili, Dali
[J]. APPLIED CATEGORICAL STRUCTURES, 2014, 22 (01) : 241 - 252
[2] Effective codescent morphisms in the varieties determined by convergent term rewriting systems
Samsonadze, Guram
Zangurashvili, Dali
[J]. TBILISI MATHEMATICAL JOURNAL, 2016, 9 (01): : 49 - 64
[3] Effective codescent morphisms, amalgamations and factorization systems
Zangurashvili, Dali
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2007, 209 (01) : 255 - 267
[4] Effective codescent morphisms in locally presentable categories
B. Mesablishvili
[J]. Journal of Mathematical Sciences, 2012, 186 (5) : 770 - 780
[5] A UNIVERSAL CHARACTERISATION OF CODESCENT OBJECTS
Corner, Alexander S.
[J]. THEORY AND APPLICATIONS OF CATEGORIES, 2019, 34 : 684 - 713
[6] Admissible Galois Structures on the categories dual to some varieties of universal algebras
Zangurashvili, Dali
[J]. GEORGIAN MATHEMATICAL JOURNAL, 2021, 28 (04) : 651 - 664
[7] Effective descent morphisms in categories of lax algebras
Clementino, MM
Hofmann, D
[J]. APPLIED CATEGORICAL STRUCTURES, 2004, 12 (5-6) : 413 - 425
[8] Effective Descent Morphisms in Categories of Lax Algebras
Maria Manuel Clementino
Dirk Hofmann
[J]. Applied Categorical Structures, 2004, 12 : 413 - 425
[9] ISOMORPHISM UNIVERSAL VARIETIES OF HEYTING ALGEBRAS
ADAMS, ME
KOUBEK, V
SICHLER, J
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 319 (01) : 309 - 328
[10] NORMAL SCHRIER VARIETIES OF UNIVERSAL ALGEBRAS
KELENSON, P
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (05): : A567 - &

← 1 2 3 4 5 →