ON UNIT GROUP OF A FINITE LOCAL RINGS OF CHARACTERISTIC p

被引：0

作者：

Zhuravlev, E., V ^{[1
]}

机构：

[1] Altai State Univ, Lenin Ave 61, Barnaul 656049, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2014年 / 11卷

关键词：

local rings; finite rings; unit group of a ring;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe the structure of the unit group of a commutative finite local rings of characteristic p with Jacobson radical J such that dims J/J(2) = 3, dim(F) J(2)/J(3) = 1, dims J(3) = 1, J(4) = (0) and F = R/J congruent to GF(p(r)), the finite field of p(r) elements.

引用

页码：362 / 371

页数：10

共 50 条

[31] LOCAL GROUP RINGS
NICHOLSON, WK
CANADIAN MATHEMATICAL BULLETIN, 1972, 15 (01): : 137 - +
[32] FINITE UNISERIAL RINGS OF PRIME CHARACTERISTIC
JAIN, SK
LUH, J
ZIMMERMANNHUISGEN, B
COMMUNICATIONS IN ALGEBRA, 1988, 16 (10) : 2133 - 2135
[33] NOETHERIAN RINGS OF CHARACTERISTIC P
KUNZ, E
AMERICAN JOURNAL OF MATHEMATICS, 1976, 98 (04) : 999 - 1013
[34] GROUP-RINGS OVER Z(P) WITH FC UNIT GROUPS
MERKLEN, H
MILIES, CP
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1980, 32 (05): : 1266 - 1269
[35] SEMILOCAL GROUP RINGS IN CHARACTERISTIC ZERO
LAWRENCE, J
WOODS, SM
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 60 (OCT) : 8 - 10
[36] A note on finite local rings
Xue, WM
INDAGATIONES MATHEMATICAE-NEW SERIES, 1998, 9 (04): : 627 - 628
[37] *-Cleanness of finite group rings
Tang, Gaohua
Wu, Yansheng
Li, Yu
COMMUNICATIONS IN ALGEBRA, 2017, 45 (10) : 4190 - 4195
[38] On the unity group of a finite rings
Shoda, K
MATHEMATISCHE ANNALEN, 1930, 102 : 273 - 282
[39] FINITE DIMENSIONAL GROUP RINGS
WILKERSO.RW
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (01): : A75 - A75
[40] FINITE DIMENSIONAL GROUP RINGS
WILKERSON, RW
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 41 (01) : 10 - 16

← 1 2 3 4 5 →