Commutative L~*-Rings  

作　　者：Jingjing MA Yuehui ZHANG 

机构地区：[1]Department of Mathematics and Statistics, University of Houston-Clear Lake [2]Department of Mathematics, School of Mathematical Sciences, Shanghai Jiao Tong University

出　　处：《Journal of Mathematical Research with Applications》2017年第3期267-273,共7页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11271275);the Natural Science Foundation of Shanghai Municipal(Grant No.13ZR1422500)

摘　　要：We show that for an integral domain or a commutative local ring, it is an L~＊-ring if and only if it is an O~＊-ring. Some general conditions are also proved for a commutative ring that cannot be L~＊.We show that for an integral domain or a commutative local ring, it is an L~＊-ring if and only if it is an O~＊-ring. Some general conditions are also proved for a commutative ring that cannot be L~＊.

关 键 词：division closed lattice order partial order total order F＊-ring O＊-ring 

分 类 号：O153.3[理学—数学]