A Study on Neutrosophic Algebra

The notion of neutrosophic algebra, ideal of neutrosophic algebra, kernel and neutrosophic quotient algebra have been proposed in this paper. We characterize some properties of neutrosophic algebra and proved that every quotient neutrosophic algebra is quotient algebra. Also we proved that every neutrosophic algebra is algebra and direct product of neutrosophic algebras over a neutrosophic field is algebra. Key words: Neutrosophic set, neutrosophic algebra, neutrosophic algebra isomorphism, ideals of neutrosophic algebra, quotient neutrosophic algebra, neutrosophic subalgebra.