An investigation on homomorphisms and subhyperalgebras of Σ-hyperalgebras

Authors : S. RASOULİ, D. HEİDARİ, B. DAVVAZ

Pages : 971-984

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Publication Date : 2014-12-01

Article Type : Research Paper

Abstract :In this paper, we introduce the notion of Σ-hyperalgebras for an arbitrary signature Σ and provide some examples. Then we extend the notions of several kinds of homomorphisms and study their properties. Also, we study subhyperalgebras of a Σ-hyperalgebra A, Subinsert ignore into journalissuearticles values(A);, under algebraic closure operators S, H and I. Finally, we introduce the notions of closed, invertible, ultraclosed and conjugable subhyperalgebras and investigate their connections to each other.
Keywords : universal algebra, hyperalgebra, homomorphism, subhyperalgebra