完备代数正规类的根与右理想  

Radicals in Normal Classes of Complete Algebras and Right Ideals

作　　者：杨宗文[1] 杨柱元[2] 

机构地区：[1]云南大学数学系,云南昆明650091 [2]云南民族大学数学与计算机科学学院,云南昆明650031

出　　处：《昆明理工大学学报（理工版）》2006年第3期112-116,120,共6页Journal of Kunming University of Science and Technology(Natural Science Edition)

基　　金：云南省教育厅科研基金(项目编号:03Z533D);云南大学理(工)科校级科研基金(项目编号:2004Z010C)

摘　　要：引入完备代数正规类概念,从而在一般代数正规类引入子代数、理想、右理想及左理想乘积公理,引入完备代数正规类中右遗传根、亚强右遗传根、强右遗传根及右保序根,将Szasz的问题4、问题5的讨论推广到完备代数正规类中.By means of the definition of the normal classes of complete algebras, these concepts of subalgebra, ideals, right ideals, left ideals and ideals product axioms in normal classes of complete algebras are introduced, and the right hereditary radicals, strongly right hereditary radicals, substrongly right hereditary radicals and right keeping order radicals are defined, and some necessary and sufficient conditions of the Szasz＇s problem 4 and 5 are given.

关 键 词：代数方程 遗传根 环论 

分 类 号：O153.3[理学—数学]