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References in periodicals archive ?
If g is a homomorphism from X x Q to Y x Q, then (g, h) is said to be a Q-NS hom.
To achieve additive homomorphism, the decryption structure with respect to adding [c.sub.1] and [c.sub.2] is required to keep the structure as x([m.sub.1]+[m.sub.2]) + [e.sup.+], where [e.sup.+] is the noise in the sum and x is an unknown variable.
Moreover, h is a continuous algebra homomorphism, taking A [??] C to a dense ideal h(A [??] C) = [h.sub.T](T) of B.
If [sigma] is a homomorphism on A, a linear mapping d with the property
We set Q = [e.sub.i] [cross product] [e.sup.i] [member of] M [cross product] M, and define a homomorphism in [??]([M.sub.k])
Let f : [G.sub.1] [right arrow] [G.sub.2] be a homomorphism. Since [G.sub.2] is subgraph of [G.sub.1][bar.V][G.sub.2], then there exists a homomorphism r : [G.sub.1][bar.V][G.sub.2] [right arrow] [G.sub.2] with r(x) = x, for any vertex x of [G.sub.2] and so [G.sub.2] is a retract of [G.sub.1][bar.V][G.sub.2].
A set-valued mapping H : [Q.sub.t] [right arrow] [P.sup.*]([Q'.sub.t]), where [P.sup.*]([Q.sub.t]) represents the collection of all nonempty subsets of [Q'.sub.t], is called a set-valued homomorphism if, for all [a.sub.i], a, b [member of] [Q.sub.t] (i [member of] I),
Our proposed algorithm consists of four components: image encryption with homomorphism, data embedding with additive homomorphism, data extraction, and image recovery.
Consider the ring homomorphism [phi] : Q[[square root of (2)]] [right arrow] [M.sub.2](Q) given by
Let f: R [right arrow] S be a ring homomorphism and let [mu] be a fuzzy ideal of R such that [mu] is constant on Ker f and let [xi] be a fuzzy ideal of S.
In [3], Eshaghi Gordji introduced the concept of an n-Jordan homomorphism. A linear map [phi] between Banach algebras A and B is called an n-Jordan homomorphism if