【摘要】 1976年K.Iséki在BCK-代数中引进了直积的概念。本文把直积的概念推广到BCI-代数中,并证明了它的泛性定理。同时,引进优BCI-代数新的类,证明了在优BCI-代数中内直积与外直积是同构的。最后,附带肯定地答复了贾兴德提出的一个未解决的问题:具有条件(S)的BCK-代数是否正则的?更多还原

【Abstract】 In this paper we introduce the direct product into BCI-algebras, and prove its universal theorem. In the meantime we introduce well BCI-algebres that is a new class of BCI-algebras, and show that the direct product and interior direct product are equiualent in well BCI-algebras. Finally, we answer certainly the problem whether BCK-algebras with the condition(S) are regular.更多还原