DIAGRAM CHASING IN MALCEV CATEGORIES

被引：133

作者：

CARBONI, A

LAMBEK, J

PEDICCHIO, MC

机构：

[1] MCGILL UNIV,DEPT MATH,MONTREAL H3A 2T5,QUEBEC,CANADA

[2] UNIV TRIESTE,DEPT MATH,I-34127 TRIESTE,ITALY

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 1991年 / 69卷 / 03期

关键词：

D O I：

10.1016/0022-4049(91)90022-T

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A diagram chasing technique generalizing the 'two-square' lemma of homological algebra is extended from Mal'cev varieties to Mal'cev categories: regular categories in which all reflexive relations are effective. The principal method used is the calculus of relations. The connection with Goursat's Theorem in group theory is discussed.

引用

页码：271 / 284

页数：14

共 19 条

[1]

BARR M, 1971, LECTURE NOTES MATH, V236

[2] CATEGORIES OF AFFINE SPACES [J].

CARBONI, A .

JOURNAL OF PURE AND APPLIED ALGEBRA, 1989, 61 (03) :243-250

[3]

FARO E, 1989, CONJECTURE LAWVERE

[4]

FEYD P, 1974, CANONIZING CATEGORY

[5]

FINDLAY GO, 1960, CANAD MATH B, V3, P131

[6]

Goursat E., 1889, ANN SCI COLE NORM SU, V6, P9, DOI [10.24033/asens.317, DOI 10.24033/ASENS.317]

[7]

Grothendieck A., 1957, TOHOKU MATH J, V9, P119, DOI [10.2748/tmj/1178244839, DOI 10.2748/TMJ/1178244839]

[8]

Hagemann J., 1973, ALGEBR UNIV, V3, P8

[9]

LAMBEK J, IN PRESS CONT MATH

[10]

Lambek J, 1957, CAN J MATH, V10, P45

← 1 2 →