期刊文献+

关于偏序Γ-半群的(m,n)理想 被引量:2

On(m,n) bi-Ideals in Po-Γ-semigroups
下载PDF
导出
摘要 引入序Γ-半群的(m,n)理想的概念,给出序Γ-半群的(m,n)理想生成的表示,利用(m,n)理想给出(m,n)单序Γ-半群和(m,n)正则序Γ-半群的刻画. In this paper, the concept of(m,n) ideals of po-Г- semigroups is introduced. The generation theorem of (re, n)ideals is obtained by every non-emptyset of po-Г-semigroups. Finally, characterizations of (m,n) simple po-Г-semigroups and (m,n) regular po-Г-semigroups are given by means of (m,n) ideals.
出处 《五邑大学学报(自然科学版)》 CAS 2013年第3期1-6,共6页 Journal of Wuyi University(Natural Science Edition)
基金 国家自然科学基金资助项目(No.10961014 No.11271040) 广东省自然科学基金资助项目(S201101000368) 安徽省高校优秀青年人才基金重点项目(2012SQRL115ZD) 安徽省高校自然科学研究项目(KJ2012B133)
关键词 (m n)理想 (m n)单序Г-半群 (m n)正则序Г-半群 (re, n) ideals (m,n) simple po-F-semigroups (re, n) regular po-Г-semigroups
  • 相关文献

参考文献21

  • 1HOWIE J M. An introduction to scmigroup theory [M]. London: Acad Press, 1976.
  • 2SEN M K, SAHA N K. On Γ-semigroup(I) [J]. Bull Cal Math Soc, 1986, 78: 180-186.
  • 3ANSARI M A, KHAN M R. Notes on (re, n)bi-Γ-ideals in Γ-semigroups [J]. Rend Circ Mast Palermo, 2011, 60:31-42.
  • 4IAMPAN A, SIRIPITUKDET M. Notes on fuzzy ordered ideals and fuzzy ordered filters in Γ-groupoids [J]. International Journal of Pure and Applied Mathematics, 2013, 82: 231-238.
  • 5SAHA N K. On Γ-semigroup(II) [J]. Bull Cal Math Soc, 1987, 79: 331-335.
  • 6SETH A. Γ-group congruences on regular Γ-semigroups [J]. Internat J Math Sci, 1992, 15: 103-106.
  • 7SETH A. Rees's Theorem for Γ- semigroup [J]. Bull Cal Math Soe, 1989, 81: 217-226.
  • 8盛德成,赵宪钟.Γ-群并及其判定[J].纯粹数学与应用数学,1995,11(1):9-12. 被引量:3
  • 9YANG Guowei. Structural theorem for completely simple Γ-semigroups and Γ-semigroups with a completely simple Γ-kernel [J]. Journal of Mathematical Research and Exposition, 2002, 22: 1-6.
  • 10SEN M K, YANG Guowei, SAHA N K. Orthodox Γ-semigroup [J]. Internat J Math Sci, 1990, 13: 527-534.

二级参考文献5

  • 1盛德成
  • 2M.K.Sen and Seth,The Maximun idempotent—separating congruence in a regular T-semigroup Bull Cal math Soc.82(1990),13l-137.
  • 3M.K.Sen and M.K.saha,Orthodox T-semigroups.Internat.J.Math &math Sci l3(3)(1990),527—534.
  • 4A.Seth.[]-Group congruences on regular T-semigroups.Internat J.math&math Sci 1(1992),103-106.
  • 5G.M.S.gomes,Orthodox congruences on regular senigroups.Semigroup Forum.37(1988),149—166.

共引文献4

同被引文献35

  • 1赵宪钟.Γ-纯整半群[J].纯粹数学与应用数学,1994,10(1):116-120. 被引量:4
  • 2杨国为,朱平.关于完全单Γ-半群[J].Journal of Mathematical Research and Exposition,1996,16(1):90-92. 被引量:4
  • 3HOWIE J M. An introduction to semigroup theory [M]. London: Acad Press, 1976.
  • 4SEN M K, SAHA N K. On F-semigroup (I) [J]. Bull Cal Math Soc, 1986, 78: 180-186.
  • 5SEN M K, SETH A. The maximum idempotent-separating congruence in a regular F- semigroup [J]. Bull CalMath Soc, 1990, 82: 131-137.
  • 6SEN M K, SAHA N K. Orthodox F- semigroup [J]. Internat J Math Sci, 1990, 13: 527-534.
  • 7SEN M K, SAHA N K. The maximum idempotent-separating congruence on an orthodox F-semigroup [J] Jour of Pure Math, 1990, 7: 39-48.
  • 8ANSARI M A, KHAN M R. Notes on (re,n)bi-F-ideals in F-Semigroups [J]. Rend Circ Mast Palermo, 2011 60:31-42.
  • 9SAHA N K. On F- semigroup (I) [J]. Bull Cal Math Soc, 1987, 79: 331-335.
  • 10SETH A. 1"-group congruences on regular F-semigroups [J]. Internat J Math Sci, 1992, 15: : 03-106.

引证文献2

二级引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部