双重K_（1．1）──代数

DOUBLE K_(1.1)-ALGEBRAS

本文介绍一个双重Ｋ１．１－－代数（Ｌ；，＋）的概念，视（Ｌ；～）及其对偶（Ｌｄｌ＋）为其Ｋ１．１－－代数，且赋予一元运算某种相关的条件。我们证明，对一个次直不可约的双重Ｋ１．１－－代数（Ｌ；～，＋）有｜Ｌ｜≤３２，且｜Ｌ｜≠３１、２９。

This paper introduces the notion of a double K_(1.1)-algebra(L;～,+)as a K_(1.1)-algebra(L;～)whose dual is a K_(1.1)-algebra(Ld;+) , with certain linking conditions concerning theopersators x→x￣ and x→x￣+, if(L;～, +) is a subdirectly irreducible double K_(1.1)-algebra thenthe caendity of L,|L|≤32 and|L|≠31 or 29.