局部极大理想(英文)  

Locally maximal ideal

作　　者：PAWAR Y S KHOPADE S S 

机构地区：[1]希瓦吉大学数学系

出　　处：《徐州师范大学学报（自然科学版）》2010年第4期13-16,共4页Journal of Xuzhou Normal University(Natural Science Edition)

基　　金：Research supported by the UGC(University Grants Commission,New Delhi)Foundation(33-109/2007(SR))

摘　　要：分配格上的局部极大理想是素理想,而一般格上的则不然.本文证明了格上局部极大理想是素理想的几个充分必要条件,并用格中相对零化子的对偶概念描述了局部极大理想的素特征.Locally maximal ideals are prime in a distributive lattice,but not in a general lattice.The aim of this paper is to prove several necessary and sufficient conditions for a locally maximal ideal in a lattice to be prime.Dual of the concept of relative annihilator in a lattice is used to characterize the primeness of locally maximal ideals.

关 键 词：半理想 半滤子 不可约理想 局部极大理想 

分 类 号：O155.1[理学—数学] O189.1[理学—基础数学]