On k-hyperideals of semihyperrings
R Ameri, H Hedayati - Journal of Discrete Mathematical Sciences …, 2007 - Taylor & Francis
R Ameri, H Hedayati
Journal of Discrete Mathematical Sciences and Cryptography, 2007•Taylor & FrancisIn this paper we introduce the notion of k-hyperideals in semihyperrings in the sense of
Krasner [11]. Also we discuss on some basic results such as the behavior of k-hyperideals
under semihyperring homomorphisms and the structure of the lattice of k-hyperideals.
Moreover, we characterize the k-hyperideals of a quotient semihyperrings. Also by the help
of the regular equivalence relation, we construct new semihyperring and then describe all k-
hyperideals of this new semihyperring.
Krasner [11]. Also we discuss on some basic results such as the behavior of k-hyperideals
under semihyperring homomorphisms and the structure of the lattice of k-hyperideals.
Moreover, we characterize the k-hyperideals of a quotient semihyperrings. Also by the help
of the regular equivalence relation, we construct new semihyperring and then describe all k-
hyperideals of this new semihyperring.
Abstract
In this paper we introduce the notion of k-hyperideals in semihyperrings in the sense of Krasner [11]. Also we discuss on some basic results such as the behavior of k-hyperideals under semihyperring homomorphisms and the structure of the lattice of k-hyperideals. Moreover, we characterize the k-hyperideals of a quotient semihyperrings. Also by the help of the regular equivalence relation, we construct new semihyperring and then describe all k-hyperideals of this new semihyperring.
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