Characterizations of Hemirings by the Properties of Their <i>k</i>-Ideals  

作　　者：Muhammad Shabir Rukhshanda Anjum 

机构地区：[1]Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

出　　处：《Applied Mathematics》2013年第5期753-768,共16页应用数学（英文）

摘　　要：In this paper we characterize those hemirings for which each k-ideal is idempotent. We also characterize those hemirings for which each fuzzy k-ideal is idempotent. The space of prime k-ideals (fuzzy k-prime k-ideals) is topologized.In this paper we characterize those hemirings for which each k-ideal is idempotent. We also characterize those hemirings for which each fuzzy k-ideal is idempotent. The space of prime k-ideals (fuzzy k-prime k-ideals) is topologized.

关 键 词：Hemiring Fuzzy k-Ideal IDEMPOTENT k-Ideals Prime IDEALS SEMIPRIME IDEALS 

分 类 号：O1[理学—数学]