Definition of "homomorphic" []

• Of or pertaining to homomorphism; having a homomorphism. (adjective)

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• "Dr. Regina Dugan, director of the Defense Advance Research Projects Agency, spoke at D9 on her program's ongoing efforts to reach homomorphic encryption and hypersonic speed, and opened a window into the techiest part of the U.S. Defense Department."
• "That is, to construct all the models of the theory of C it suffices to close C first under direct products, then under subalgebras, and finally under homomorphic images; that is, later closures do not compromise earlier ones provided P, S, and H are performed in that order."
• "Given a class C of algebras, we write P (C) for the class of all algebras formed as direct products of families of algebras of C, S (C) for the class of all subalgebras of algebras of C, and H (C) for the class of all homomorphic images of algebras of C."