关于几类2阶ai-半环生成的簇的研究The study of some classes of the varieties generated by ai-semirings of order two
杨文玲;任苗苗;邵勇;
摘要(Abstract):
借助半环的格林关系研究了由所有2阶ai-半环生成的半环簇S2的一些子簇.其次,定义了与S2中半环的元素相关的同余关系,并揭示了同余关系之间的联系.
关键词(KeyWords): 半环;格林关系;簇;同余
基金项目(Foundation): 陕西省自然科学专项基金(2011JQ1017);; 西北大学科学研究基金(NC0925)
作者(Authors): 杨文玲;任苗苗;邵勇;
参考文献(References):
- [1]Kuil M,Pola′k L.On varieties of semilattice-ordered semigroup[J].Semigroup Forum,2005,71(1):27-48.
- [2]Pastijin F,Zhao X Z.Varieties of idempotent semirings with commutative addition[J].Algebra Universalis,2005,54:301-321.
- [3]Ghosh S,Pastijn F,Zhao X Z.Varieties generated by ordered bands I[J].Order,2005,22:109-128.
- [4]Pastijn F.Varieties generated by ordered bands II[J].Order,2005,22:129-143.
- [5]Zhao X Z,Shum K P,Guo Y Q.L-subvarieties of the variety of idempotent semirings[J].Algebra Univers,2001,46:75-96.
- [6]Zhao X Z,Guo Y Q,Shum K P.D-subvarieties of the variety of idempotent semirings[J].Algebra Colloquium,2002,9:15-28.
- [7]Zhao X Z.Idempotent semirings with a commutative additive reduct[J].Semigroup Forum,2002,64:289-296.
- [8]Burris S,Sankppanaver H P.A Course in Universal Algebra[M].New York:Springer Verlag,1981.
- [9]Howie J M.Fundamentals of Semigroup Theory[M].Oxford:Oxford Science Publication,1995.
- [10]Bhuniya A K,Mondal T K.Distributive lattice decompositions of semirings with a semilattice additive reduct[J].Semigroup Forum,2010,80(2):293-301.