Soft ideals and soft filters of soft ordered semigroups

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• 作者：Muhammad Irfan  ; Ali  ; ;   ; ^a ;   ; ^{mirfanali13@yahoo.com}
• 关键词：Soft sets ; Ordered semigroups ; Soft ordered semigroups ; Soft ideals ; Soft filters
• 刊名：Computers and Mathematics with Applications
• 出版年：2011
• 出版时间：November 2011
• 年：2011
• 卷：62
• 期：9
• 页码：3396-3403
• 全文大小：246 K

文摘

It is shown that soft ordered semigroups over an ordered semigroup are actually soft ordered subsemigroups of . Soft idealistic semigroups over an ordered semigroup are soft ideals of soft ordered semigroup . The concept of soft filters of a soft ordered semigroup is introduced. It is shown that restricted complement of a soft filter is a soft prime ideal of .