子环的和与积

杨宗文, 杨柱元. 子环的和与积[J]. 云南大学学报(自然科学版), 2007, 29(4): 335-338.

引用本文:

杨宗文, 杨柱元. 子环的和与积[J]. 云南大学学报(自然科学版), 2007, 29(4): 335-338.

YANG Zong-wen, YANG Zhu-yuan. The sum and product of subrings[J]. Journal of Yunnan University: Natural Sciences Edition, 2007, 29(4): 335-338.

Citation:

YANG Zong-wen, YANG Zhu-yuan. The sum and product of subrings[J]. Journal of Yunnan University: Natural Sciences Edition, 2007, 29(4): 335-338.

The sum and product of subrings

摘要: 讨论了环由子集生成的子环、子环的和与积的结构,子环的积对和的分配关系,证明了结合环类是完备代数类及可积代数类,从而是完备代数正规类及可积代数正规类.

Abstract: The structures of the subring generated by a subset of a ring,the structures of sum and product of subrings,the distribution product over the sum of subrings are discovered,it is showen that the class of associative rings is a class of complete algebras and a class of product algebras,so it is a normal class of complete algebras and a normal class of product algebras.

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