S. RASOULİ, D. HEİDARİ, B. DAVVAZ

9895

An investigation on homomorphisms and subhyperalgebras of Σ-hyperalgebras

An investigation on homomorphisms and subhyperalgebras of Σ-hyperalgebras

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, Sub(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,

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Hacettepe Journal of Mathematics and Statistics-Cover

Yayın Aralığı: 6
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

Arşiv

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