ON THE JORDAN H-SUBMODULES OF A SIMPLE SUPERALGEBRA WITH SUPERINVOLUTION

被引：3

作者：

GOMEZAMBROSI, C

机构：

[1] Departamento de Matemáticas, Universidad de Zaragoza, 50009, Zaragoza

来源：

COMMUNICATIONS IN ALGEBRA | 1995年 / 23卷 / 09期

关键词：

D O I：

10.1080/00927879508825411

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that if A is a simple associative superalgebra with superinvolution * and H = H(A, *) is the hermitian superalgebra of symmetric elements then K(A, *) is simple as a Jordan H-module. We also give a characterization of all Jordan H-submodules of A.

引用

页码：3505 / 3511

页数：7

共 8 条

[1]

GOMEZAMBROSI C, IN PRESS NOVA J ALG

[2]

Herstein I. N., 1976, RINGS INVOLUTION

[3] CERTAIN SUBMODULES OF SIMPLE RINGS WITH INVOLUTION [J].

HERSTEIN, IN .

DUKE MATHEMATICAL JOURNAL, 1957, 24 (03) :357-364

[4]

MEDVEDEV YA, 1992, SOME COUNTER EXAMPLE, P1

[5]

MONTANER F, LIE STRUCTURE ASSOCI

[6] MAPPINGS ON SIMPLE RINGS WITH INVOLUTION [J].

SMALL, LB .

JOURNAL OF ALGEBRA, 1969, 13 (01) :119-&

[7]

Wall C.T.C., 1963, J REINE ANGEW MATH, V213, P187

[8]

ZELMANOV EI, 1991, AM MATH SOC TRANSL 2, P148

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