A neutrosophic hyperstructure is an algebraic structure generated by a given hyperstructure H and an indeterminacy factor I under the hyperoperation(s) of H. The objective of this paper is to study canonical hypergroups and hyperrings in which addition and multiplication are hyperoperations in a neutrosophic environment. Some basic properties of neutrosophic canonical hypergroups and neutrosoph...

With the aim of developing recent theory dependence relations, we elaborate a procedure to measure strength influence an element on another with respect given relation finite set. We call this degree influence. Its definition is based partial hyperoperation and directed graph which associate any relation. compute in various examples prove some general properties. Among these properties, find sy...

The largest class of hyperstructures is the one which satisfies the  weak properties. We connect the theory of P-hopes, a large class of  hyperoperations, with the Lie-Santilli admissibility used in  Hardonic Mechanics. This can be achieved by a kind of Ree,  sandwich hyperoperation.

The cannabinoid CB1 receptor system is critically involved in the control of associative fear memory formation within the amygdala-prefrontal cortical pathway. The CB1 receptor is found in high concentrations in brain structures that are critical for emotional processing, including the basolateral amygdala (BLA) and the prelimbic division (PLC) of the medial prefrontal cortex (mPFC). However, t...

learning ability and memory duration are two inseparable factors which can increase theefficiency of a living organism during its lifetime. trichgramma brassice bezdenko (hym.:trichogrammatidae) is a biological control agent widely used against different pest species.this research was conducted to study the olfactory associative learning ability and memoryduration of t. brassicae under laborato...

Let R be an associative ring with identity, C(R) denote the center of R, and g(x) be a polynomial in the polynomial ring C(R)[x]. R is called strongly g(x)-clean if every element r ∈ R can be written as r = s+u with g(s) = 0, u a unit of R, and su = us. The relation between strongly g(x)-clean rings and strongly clean rings is determined, some general properties of strongly g(x)-clean rings are...

ABSTR•1⁄2T.--Previous demonstrations of neighbor vs. non-neighbor discrimination in territorial male passerines have not permitted separation of habituation from associative learning as the basis of the response differences. A few male Rufous-sided Towbees (Pipilo erythrophthalmus) sing unusual songs resembling those of Carolina Wrens (Thryothorus ludovicianus), yet are able to defend territori...

Networks of threshold-linear neurons have previously been introduced and analysed as distributed associative memory systems. Here, results from simulations of pattern retrieval in a large-scale, sparsely connected network are presented. The storage capacity lies near a = 0.8 and 1.2 for binary and ternary patterns respectively, in reasonable accordance with theoretical estimates. The system is ...

We prove that, if A and B are complete normed non-associative algebras, and if B is strongly semisimple and algebraic, then dense range homomorphisms from A to B are continuous. As a consequence, we obtain that homomorphisms from complete normed algebras into a complete normed power-associative algebraic algebra B are continuous if and only if B has no nonzero elements with zero square. We also...

At present an algebra of strongly interacting fields is unknown. In this paper it is assumed that the operators of strongly nonlinear field can form a non-associative algebra. It is shown that such algebra can be described as an algebra of some pairs. The comparison of presented techniques with the Green’s functions method in the superconductivity theory is made. A possible application to the Q...