论文标题
三元布尔代数的改进
A refinement of ternary Boolean algebras
论文作者
论文摘要
提出的一个代数结构,具有两个常数和一个未完全交换的三元操作,以容纳三元布尔代数。当将三元操作解释为教会的条件脱节时,布尔代数被描述为一个子各种。对三元操作的不同解释导致了不同的亚体。戒指和特征2的近环用于说明过程。
An algebraic structure with two constants and one ternary operation, which is not completely commutative, is put forward to accommodate ternary Boolean algebras. When the ternary operation is interpreted as Church's conditioned disjunction, Boolean algebras are characterized as a subvariety. Different interpretations for the ternary operation lead to distinct subvarieties. Rings and near-rings of characteristic 2 are used to illustrate the procedure.