Ideals and Clots in Pointed Regular Categories

被引：15

作者：

Janelidze, G. ^{[2
]}

Marki, L. ^{[3
]}

Ursini, A. ^{[1
]}

机构：

[1] Univ Siena, Dipartimento Sci Matemat & Informat Roberto Magar, I-53100 Siena, Italy

[2] Univ Cape Town, Dept Math & Appl Math, ZA-7700 Rondebosch, South Africa

[3] Hungarian Acad Sci, A Renyi Inst Math, H-1364 Budapest, Hungary

来源：

APPLIED CATEGORICAL STRUCTURES | 2009年 / 17卷 / 04期

关键词：

Pointed regular category; Normal subobject; Ideal; Clot; SEMI-ABELIAN CATEGORIES;

D O I：

10.1007/s10485-008-9135-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We clarify the relationship between ideals, clots, and normal subobjects in a pointed regular category with finite coproducts.

引用

下载

页码：345 / 350

页数：6

共 50 条

[31] On ⊙-Ideals and Lattices of ⊙-Ideals in Regular Residuated Lattices
Liu, Chun-hui
Xu, Luo-shan
QUANTITATIVE LOGIC AND SOFT COMPUTING 2010, VOL 2, 2010, 82 : 425 - 434
[32] Some conditions for nil ideals and π-regular ideals
Tanabe, K
COMMUNICATIONS IN ALGEBRA, 1999, 27 (06) : 2573 - 2581
[33] REGULAR IDEALS IN COMMUTATIVE RINGS, SUBLATTICES OF REGULAR IDEALS, AND PRUFER-RINGS
ANDERSON, DD
PASCUAL, J
JOURNAL OF ALGEBRA, 1987, 111 (02) : 404 - 426
[34] PULLBACKS IN REGULAR CATEGORIES
MEISEN, J
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1973, 16 (02): : 251 - 255
[35] STAR-MULTIPLICATIVE GRAPHS IN POINTED PROTOMODULAR CATEGORIES
Martins-Ferreira, N.
THEORY AND APPLICATIONS OF CATEGORIES, 2010, 23 : 170 - 198
[36] The Green rings of pointed tensor categories of finite type
Huang, Hua-Lin
Van Oystaeyen, Fred
Yang, Yuping
Zhang, Yinhuo
JOURNAL OF PURE AND APPLIED ALGEBRA, 2014, 218 (02) : 333 - 342
[37] Pointed finite tensor categories over abelian groups
Angiono, Ivan
Galindo, Cesar
INTERNATIONAL JOURNAL OF MATHEMATICS, 2017, 28 (11)
[38] BRAIDED Zq-EXTENSIONS OF POINTED FUSION CATEGORIES
Dong, Jingcheng
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145 (03) : 995 - 1001
[39] ABELIAN GROUPOIDS AND NON-POINTED ADDITIVE CATEGORIES
Bourn, Dominique
THEORY AND APPLICATIONS OF CATEGORIES, 2008, 20 : 48 - 73
[40] Split Short Five Lemma for Clots and Subtractive Categories
Janelidze, Zurab
Ursini, Aldo
APPLIED CATEGORICAL STRUCTURES, 2011, 19 (01) : 233 - 255

← 1 2 3 4 5 →