MULTIPLICATIVE IDEAL THEORY AND RINGS OF QUOTIENTS I

被引：1

作者：

FINDLAY, GD

机构：

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURG SECTION A-MATHEMATICAL AND PHYSICAL SCIENCES | 1968年 / 68卷

关键词：

D O I：

10.1017/S0080454100008232

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By means of a generalized ring of quotients multiplicative ideal theory is studied in an arbitrary (associative) ring. A suitable generalization of the concept of maximal order is given and factorization theorems are obtained for the nonsingular (two sided) ideals, which generalize the theorems of Artin and E. Noether. © 1968, Royal Society of Edinburgh. All rights reserved.

引用

页码：30 / &

共 11 条

[1]

BIRKHOFF G, 1948, COLLOQUIUM LECT AM M, V25

[2]

DUBREIL P, 1957, CONVEGNO ITALOFRANCE, P1

[3]

Findlay G. D., 1958, CANAD MATH B, V1, p[77, 155]

[4]

FINDLAY GD, 1958, CAN MATH B, V1, P155

[5]

FINDLAY GD, 1963, 5 P CAN MATH C MONTR, P97

[6]

Fuchs L., 1963, PARTIALLY ORDERED AL

[7]

JACOBSON N, 1943, MATHL SURVS, V2

[8]

KRULL W, 1948, IDEALTHEORIE

[9] STRUCTURE OF SEMI-PRIME RINGS AND THEIR RINGS OF QUOTIENTS [J].

LAMBEK, J .

CANADIAN JOURNAL OF MATHEMATICS, 1961, 13 (03) :392-&

[10]

Utumi Y., 1956, OSAKA MATH J, V8, P1

← 1 2 →