Rings of order p5 part I.: Nonlocal rings

被引：47

作者：

Corbas, B ^{[1
]}

Williams, GD ^{[1
]}

机构：

[1] Univ Reading, Dept Math, Reading RG6 6AX, Berks, England

来源：

JOURNAL OF ALGEBRA | 2000年 / 231卷 / 02期

关键词：

finite rings; local rings;

D O I：

10.1006/jabr.2000.8349

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper and its sequel, the structure and classification up to isomorphism of all finite rings of order p(5) are determined. The theory of semiperfect rings is here applied to deal with the nonlocal rings of this order. In Part II we shall treat the local rings. (C) 2000 Academic Press.

引用

页码：677 / 690

页数：14

共 14 条

[1]

Behrens E. A., 1972, RING THEORY

[2]

Cohn P. M., 1991, ALGEBRA, V3

[3] RINGS WITH FEW ZERO DIVISORS [J].

CORBAS, B .

MATHEMATISCHE ANNALEN, 1969, 181 (01) :1-&

[4] NONCOMMUTATIVE RINGS OF ORDER P(4) [J].

DERR, JB ;

ORR, GF ;

PECK, PS .

JOURNAL OF PURE AND APPLIED ALGEBRA, 1994, 97 (02) :109-116

[5]

JACOBSON N, 1980, BASIC ALGEBRA 2

[6]

JACOBSON N., 1956, Am. Math. Soc. Colloq. Publ., V37

[7] SEPARABLE ALGEBRAS OVER COMMUTATIVE RINGS [J].

JANUSZ, GJ .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1966, 122 (02) :461-&

[8] Algebraic theory of rings II. [J].

Krull, W .

MATHEMATISCHE ANNALEN, 1924, 91 :1-46

[9]

LAM TY, 1991, GRAD TEXTS MATH, V131

[10]

Passman D. S., 1991, COURSE RING THEORY

← 1 2 →