正规代数类中的广义Szasz问题

• 作 者: 王尧 牛凤文
• 机 构: School of Mathematical Sciences, Nankai Unversity, Tianjin, 300071Department of Mathematics, Anshan
• 出 处: 东北数学（英文版）
• 发表日期: 2004年2期
• 关键词: normal class of algebra lattice equivalence relation radical

Let A be a normal class of algebra. In the present paper, we characterize the following four problems for A: for which radical class R, there holds that (1) R(i1 ∧ i2) = R(i1) ∧ R(i2);(2) R(i1 ∨ i2) = R(i1) ∨ R(i2);(3) (i1∧i2-) =i∧1 ∧i∧2;(4) (i1∨i2) =(∧i1) ∨(∧i2), for arbitrary algebra a ∈ A and any i1,i2 ∈ La,where ∧j denotes the ideal of a uniquely determined by R(a/j) = ∧(j)/j?