Local multiplications on algebras

被引：14

作者：

Hadwin, D ^{[1
]}

Kerr, JW ^{[1
]}

机构：

[1] MICHIGAN STATE UNIV,DEPT MATH,E LANSING,MI 48823

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 1997年 / 115卷 / 03期

关键词：

D O I：

10.1016/S0022-4049(96)00013-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A unital algebra A over a commutative unital ring R is SLIP over R if every R-module endomorphism on A that leaves invariant every left ideal of A is left multiplication by an element of A. In this paper we provide characterizations of the SLIP property for classes of rings.

引用

页码：231 / 239

页数：9

共 16 条

[1]

CRIST R, IN PRESS J FUNCT ANA

[2]

DIXMIER J, 1977, C STAR ALGEBRAS

[3]

DOUGLAS RG, 1976, INDIANA U MATH J, V225, P315

[4] REFLEXIVE BIMODULES [J].

FULLER, KR ;

NICHOLSON, WK ;

WATTERS, JF .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1989, 41 (04) :592-611

[5] ALGEBRAS WHOSE PROJECTIVE-MODULES ARE REFLEXIVE [J].

FULLER, KR ;

NICHOLSON, WK ;

WATTERS, JF .

JOURNAL OF PURE AND APPLIED ALGEBRA, 1995, 98 (02) :135-150

[6] UNIVERSALLY REFLEXIVE ALGEBRAS [J].

FULLER, KR ;

NICHOLSON, WK ;

WATTERS, JF .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1991, 157 :195-201

[7] SCALAR-REFLEXIVE RINGS II [J].

HADWIN, D ;

KERR, JW .

JOURNAL OF ALGEBRA, 1989, 125 (02) :311-319

[8] SCALAR-REFLEXIVE RINGS [J].

HADWIN, D ;

KERR, JW .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 103 (01) :1-8

[9]

Hadwin D., 1983, Linear Multilinear Algebra, V14, P225, DOI [10.1080/03081088308817559, DOI 10.1080/03081088308817559]

[10]

HADWIN D, 1987, J OPERAT THEOR, P233

← 1 2 →