ON HOMOGENEOUS NILPOTENT GROUPS AND RINGS

被引：10

作者：

CHERLIN, G

SARACINO, D

WOOD, C

机构：

[1] WESLEYAN UNIV,DEPT MATH,MIDDLETOWN,CT 06459

[2] COLGATE UNIV,DEPT MATH,HAMILTON,NY 13346

[3] HEBREW UNIV JERUSALEM,INST ADV STUDIES,JERUSALEM,ISRAEL

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 119卷 / 04期

关键词：

AMALGAMATION; BILINEAR; CATEGORY; GROUP; HOMOGENEOUS; NILPOTENT; RING;

D O I：

10.2307/2159992

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a new framework for the construction of homogeneous nilpotent groups and rings which goes a long way toward unifying the two cases, and enables us to extend previous constructions, producing a variety of new examples. In particular we find ingredients for the manufacture of 2 aleph 0 homogeneous nilpotent groups ''in nature''.

引用

页码：1289 / 1306

页数：18

共 13 条

[1]

BERLINE C, 1980, LECT NOTES MATH, V859, P16

[2]

BOFFA M, 1980, LECT NOTES MATH, V834, P20

[3]

CHERLIN GL, 1991, J LOND MATH SOC, V44, P102

[4]

CHERLIN GL, 1982, LOG C 1980, P69

[5]

Fraisse R., 1954, ANN ECOLE NORMALE SU, V71, P363

[6]

GRUENBERG KW, 1970, LECTURE NOTES MATH, V143

[7]

HUGHES NJS, 1951, P AM MATH SOC, V2, P742

[8] LINEAR-GROUPS CONTAINING A SINGER CYCLE [J].

KANTOR, WM .

JOURNAL OF ALGEBRA, 1980, 62 (01) :232-234

[9]

MACLANE S, 1963, GRUNDLEHREN MATH WIS, V114

[10] QE COMMUTATIVE NILRINGS [J].

SARACINO, D ;

WOOD, C .

JOURNAL OF SYMBOLIC LOGIC, 1984, 49 (02) :644-651

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