Brahminism refers to the domination of Indian society of the priestly class of Brahmins and their Hindu-ideology. This domination is being criticised by Anti-Brahminism. Brahmanism is the religion that developed out of the historical Vedic religion, and formed one of the constituents of the complex of Indian religions called Hinduism. The Srauta tradition still preserves elements of Brahminism.
References
Brahminism Wikipedia(Text) CC BY-SA