LIE ISOMORPHISMS IN PRIME-RINGS WITH INVOLUTION

被引：46

作者：

BEIDAR, KI ^{[1
]}

MARTINDALE, WS ^{[1
]}

MIKHALEV, AV ^{[1
]}

机构：

[1] UNIV MASSACHUSETTS,AMHERST,MA 01003

来源：

JOURNAL OF ALGEBRA | 1994年 / 169卷 / 01期

关键词：

D O I：

10.1006/jabr.1994.1286

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R and R' be prime rings with involutions of the first kind and with respective Lie subrings of skew elements K and K'. Furthermore assume (RC:C) not-equal 1, 4, 9, 16, 25, 64, where C is the extended centroid of R. It is shown that any Lie isomorphism of K onto K' can be extended uniquely to an associative isomorphism of [K] onto [K'], where [K] and [K'] are respectively the associative subrings generated by K and K'.

引用

页码：304 / 327

页数：24

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