The aim of this paper is the study of fuzzy Γ-hyperrings. In this regard the notion of ν-fuzzy hyperideals of Γ-hyperrings are introduced and basic properties of them are investigated. In particular, the representation theorem for ν-fuzzy hyperideals are given and it is shown that the image of a ν-fuzzy hyperideal of a Γ-hyperring under a certain conditions is two-valued. Finally, the product o...

At present paper, we establish the existence of pullback $mathcal{D}$-attractor for the process associated with non-autonomous partly dissipative reaction-diffusion equation in $L^2(mathbb{R}^n)times L^2(mathbb{R}^n)$. In order to do this, by energy equation method we show that the process, which possesses a pullback $mathcal{D}$-absorbing set, is pullback $widehat{D}_0$-asymptotically compact.

An absorbing substrate of complex refractive index n(2) - jk(2) at wavelength lambda can be coated by an absorbing thin film of complex refractive index n(1) - jk(1) and thickness d to achieve zero reflection at normal incidence. For given n(2),k(2) multiple solutions (n(1),k(1),d/lambda) are found that correspond to infinitely many distinct antireflection layers. This is demonstrated for a Si ...

We study hyperideal polyhedra in the 3-dimensional anti-de Sitter space A d S 3 , which are defined as intersection of projective model with a convex polyhedron RP whose vertices all outside and edges meet . show that uniquely determined by their combinatorics dihedral angles, well induced metric on boundary together an additional combinatorial data, describe possible angles metrics boundary.

Krasner hyperrings are a generalization of rings. Indeed, in hyperring the addition is hyperoperation, while multiplication an ordinary operation. On other hand, rough set theory near theory. Now, this paper we interested combining these concepts. We study and investigate notion on nearness approximation space. Also, define subhyperring, hyperideal, homomorphism prove some results present sever...

Let $R$ be a commutative ring and let $I$ be an ideal of $R$. In this paper, we will introduce the notions of 2-absorbing $I$-prime and 2-absorbing $I$-second submodules of an $R$-module $M$ as a generalization of 2-absorbing and strongly 2-absorbing second submodules of $M$ and explore some basic properties of these classes of modules.

A new hydroxycinnamoyl polyamine derivative, N,N',N"-triferuloylspermidine (= (E)-N-(4-aminobutyl) -3,3',3"-tris(4-hydroxy-3-methoxyphenyl)-N,N',N"- (butane-1,4-diyl)tris [prop-2-enamide]) (1) was detected in the H2O/MeOH extract of pollen from Hippeastrum x hortorum. The compound was identified by on-line-coupled high-performance liquid chromatography and atmospheric-pressure chemical-ionizati...

This article introduces the concept of S-2-absorbing primary submodule as a generalization 2-absorbing submodule. Let S be multiplicatively closed subset ring R and M an R-module. A proper N is said to if (N :R M) ? = there exists fixed element s such that whenever abm for some a,b m M, then either sam or sbm sab ?(N M). We give several examples, properties characterizations related concept. Mo...

Let $G$ be a group with identity $e$. $R$ $G$-graded commutative ring and $M$ graded $R$-module. In this paper, we introduce the concept of $WAG2$-absorbing submodule. A number results concerning these classes submodules their homogeneous components are given.
 $N=\bigoplus _{h\in G}N_{h}$ submodule $h\in G.$ We say that $N_{h}$ is $h$-$WAG2$-absorbing $R_{e}$-module $M_{h}$ if $N_{h}\neq ...

Let P be a (non necessarily convex) embedded polyhedron in R, with its vertices on an ellipsoid. Suppose that the interior of P can be decomposed into convex polytopes without adding any vertex. Then P is infinitesimally rigid. More generally, let P be a polyhedron bounding a domain which is the union of polytopes C1, · · · , Cn with disjoint interiors, whose vertices are the vertices of P . Su...