【摘要】 本文引入广义拟右交错BCI-代数的概念,讨论了它的基本性质。利用LX并代数的概念,证明了结构定理:拟交错BCK-代数、广义结合BCI-代数以及任意拟交错BCK-代数与任意纯广义结合BCI-代数的LX并代数都是广义拟右交错的BCI-代数;反之,广义拟右交错BCI-代数或者是拟交错BCK-代数,或者是广义结合BCI-代数或者是拟交错BCK-代数与纯广义结合BCI-代数的LX并代数。从而解决了该类代数的结构问题。更多还原

【Abstract】 A new class of BCI-algebra i.e. generalized quasi-right-alternating BCI-algebra is introduced.Its fundamental properties are discussed. Obtains a structure theorem as follows. A Quasi-alternating BCK-algebra, a generalized associative BCI-algebra, LX-union algebra of a quasi-alternating BCK-algebra and a pure generalized associative BCI-algerba are all generalized quasi-right-alternating BCIalgebras. Conversely,a generalized quasi-right-alternating BCI-algebra is quasi-alternating BCK-algebra or generalized associative BCI-algebra,or LX-union algebra of a quasi-alternating BCK-algebra and a generalized associative BCI-algebra. Therefore,the structure of generalized quasi-rightalternating BCI-algebra is dear.更多还原