On ۲-nilpotent ideal of a BCK-algebra

In this paper, the concepts of ۲-nilpotent ideals of a BCK-algebra and ۲-nilpotent BCK-algebras are introduced.Specially, it has been found that every commutative ideal is ۲-nilpotent. In addition, an equivalent condition to ۲-nilpotency of a BCK-algebra is stated. Also, with some additional conditions a relation between ۲-nilpotency of aBCK-algebra X and any ideal of X is obtained

کلیدواژه ها:

BCK-algebra ، nilpotent BCK-algebra ، ideal