Nilsemigroup information

semigroup theory, a nilsemigroup or nilpotent semigroup is a semigroup whose every element is nilpotent. Formally, a semigroup S is a nilsemigroup if: S contains...

AB=0} and B A = B {\displaystyle BA=B} . By definition, any element of a nilsemigroup is nilpotent. No nilpotent element can be a unit (except in the trivial...

S for some k. Every nonempty subset of E has an infimum. Gril p. 110 Nilsemigroup (Nilpotent semigroup) 0 ∈ S ak = 0 for some integer k which depends on...