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

• 作者: Muhammad Shabir Rukhshanda Anjum
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Hemiring Fuzzy k-Ideal IDEMPOTENT k-Ideals Prime IDEALS SEMIPRIME IDEALS
• 年，卷（期）: yysxyw_2013,（5）
• 页码范围: 753-768
• 页数: 16页
• 分类号: O1

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.