Abstract
In this paper, we introduce the concepts of centralizer and normalizer of
B-algebras, and we investigate some of their properties. In particular, we prove that if
H is a subalgebra of a B-algebra X, then the centralizer C(H) of H is a subalgebra of
X, which affirms to the result of P.J. Allen, J. Neggers, and H.S. Kim that the center
Z(X) is a subalgebra of X. Moreover, if H is normal in X, then C(H) is normal in
X, which affirms to the result of A. Walendziak that Z(X) is normal in X.
