R_0代数及其基本结构

R_0-algebra and Its Structure

以Ｒ０－Ｌｉｎｄｅｎｂａｕｍ代数为背景，提出了较蕴涵格稍强的Ｒ０代数概念，在讨论了其基本性质的基础上给出了Ｒ０代数的两个等价系统，并从商代数的角度研究了Ｒｏ代数的基本结构．

Based on R0 - Lindenbaum algebras, R0 - algebras, which are slightly stronger than implication lattice algebras, are proposed in this paper. After the discussion on their basic properties, two equivalent structural theorems of R0 - algebras are developed. Moreover, from the standpoint of quotient algebras, the basic structures of R0 - algebras are particularly investigated.