Γ－近环的完全素理想  

COMPLETELY PRIME IDEALS INGAMMAΓ-NEAR-RINGS

作　　者：王顶国[1] 王学宽[1] 

机构地区：[1]曲阜师范大学,湖北大学

出　　处：《湖北大学学报（自然科学版）》1995年第2期121-127,共7页Journal of Hubei University：Natural Science

摘　　要：讨论了Γ－近环的素理想与完全素理想之间的关系，侧重于各种根（素根，完全素很），特别是下列Γ－近环类：素根等于幂零元集作成的Γ－近环类。给出了此类Γ－近环的性质。This paper concerns relationships between prime ideals and completely prime ideals, with emphasis on connections to various radicals (prime radical,completely prime radical ).One classes of r-near-rings which are of particular interest is:the class of r-near-rings for which the prime radical coincides with the set of nilpotent elements.Properties of this classes are developed.

关 键 词：近环 Γ-近环 素理想 完全素理想 

分 类 号：O153.3[理学—数学]