An investigation on homomorphisms and subhyperalgebras of Σ-hyperalgebras

S. Rasouli; D. Heidari; B. Davvaz

Research Article

An investigation on homomorphisms and subhyperalgebras of Σ-hyperalgebras

Year 2014, Volume: 43 Issue: 6, 971 - 984, 01.12.2014

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, 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

References

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Year 2014, Volume: 43 Issue: 6, 971 - 984, 01.12.2014

S. Rasouli D. Heidari B. Davvaz

Abstract

References

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There are 1 citations in total.

Details

Primary Language	English
Journal Section	Mathematics
Authors	S. Rasouli This is me D. Heidari B. Davvaz
Publication Date	December 1, 2014
Published in Issue	Year 2014 Volume: 43 Issue: 6

Cite

APA	Rasouli, S., Heidari, D., & Davvaz, B. (2014). An investigation on homomorphisms and subhyperalgebras of Σ-hyperalgebras. Hacettepe Journal of Mathematics and Statistics, 43(6), 971-984.
AMA	Rasouli S, Heidari D, Davvaz B. An investigation on homomorphisms and subhyperalgebras of Σ-hyperalgebras. Hacettepe Journal of Mathematics and Statistics. December 2014;43(6):971-984.
Chicago	Rasouli, S., D. Heidari, and B. Davvaz. “An Investigation on Homomorphisms and Subhyperalgebras of Σ-Hyperalgebras”. Hacettepe Journal of Mathematics and Statistics 43, no. 6 (December 2014): 971-84.
EndNote	Rasouli S, Heidari D, Davvaz B (December 1, 2014) An investigation on homomorphisms and subhyperalgebras of Σ-hyperalgebras. Hacettepe Journal of Mathematics and Statistics 43 6 971–984.
IEEE	S. Rasouli, D. Heidari, and B. Davvaz, “An investigation on homomorphisms and subhyperalgebras of Σ-hyperalgebras”, Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 6, pp. 971–984, 2014.
ISNAD	Rasouli, S. et al. “An Investigation on Homomorphisms and Subhyperalgebras of Σ-Hyperalgebras”. Hacettepe Journal of Mathematics and Statistics 43/6 (December 2014), 971-984.
JAMA	Rasouli S, Heidari D, Davvaz B. An investigation on homomorphisms and subhyperalgebras of Σ-hyperalgebras. Hacettepe Journal of Mathematics and Statistics. 2014;43:971–984.
MLA	Rasouli, S. et al. “An Investigation on Homomorphisms and Subhyperalgebras of Σ-Hyperalgebras”. Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 6, 2014, pp. 971-84.
Vancouver	Rasouli S, Heidari D, Davvaz B. An investigation on homomorphisms and subhyperalgebras of Σ-hyperalgebras. Hacettepe Journal of Mathematics and Statistics. 2014;43(6):971-84.