The universal enveloping algebra U (G) of a Lie algebra G acts on its representation ring R through D(R), the ring of differential operators on R. A quantised universal enveloping algebra (or quantum group) is a deformation of a universal enveloping algebra and acts not through the differential operators of its representation ring but through the quantised differential operators of its represen...

The photoinduced ring-closure/ring-opening reactions of a series of bis-dithienylethene derivatives, as free ligands and Zn(II)-complexes, are investigated by resorting to theoretical (time-dependent density functional theory) and kinetic analyses in solution. The originality of the system stems from the tunability of the photoreaction quantum yields and conversion yields as a function of the e...

the concept of fuzzy soft γ-ring is introduced; and some properties of fuzzy soft γ-rings are given. then the definitions of fuzzy soft γ-ideals are proposed and some of their theories are considered.

Introduction: The Wilson disease is an autosomal recessive disease in which the liver, central nervous system, eyes, blood and other parts of the body involved. Timely diagnosis and appropriate treatment of the disease requires awareness of the clinical presentations of this disease in children.Methods: This case series study included 62 patients with Wilson disease who admitted to children's M...

Abstract Let $$E*G$$ E ∗ G be a crossed product of division ring E and locally indicable group G . Hughes showed that up to -isomorphism, there exists at most one Hughes-free -ring. However, the existence -ring $${\mathcal {D}}_{E*G}$$ <mml...

Let $R$ be a commutative Noetherian ring and let $fa$, $fb$ be two ideals of $R$ such that $R/({fa+fb})$ is Artinian. Let $M$, $N$ be two finitely generated $R$-modules. We prove that $H_{fb}^j(H_{fa}^t(M,N))$ is Artinian for $j=0,1$, where $t=inf{iin{mathbb{N}_0}: H_{fa}^i(M,N)$ is not finitelygenerated $}$. Also, we prove that if $DimSupp(H_{fa}^i(M,N))leq 2$, then $H_{fb}^1(H_{fa}^i(M,N))$ i...

Tetracyclines and tetracycline analogues are prepared by a convergent, single-step Michael-Claisen condensation of AB precursor 1 or 2 with D-ring precursors of wide structural variability, followed by removal of protective groups (typically in two steps). A number of procedural variants of the key C-ring-forming reaction are illustrated in multiple examples. These include stepwise deprotonatio...

ft-sers (fourier transform surface enhanced raman scattering) of adriamycin and its complex with dna is reported. it is shown that in agreement with previous raman studies the interaction of adriamycin  with dna takes place through an intercalation mechanism. the presence of a new band at 731 cm-1 suggests that ring d of adriamycin is not involved in the intercalation process.

In this study, reactions of the simple cycloalkynes with substituted Nitrile Oxides, by DFT method will be discussed. The investigation of the structural properties, theoretical thermodynamic and kinetic data, i.e., the activation free energies(DG*), the free energies changes of reaction(DrG) and rate constants of the reactions (k) in 298 K and effects of Electron-withdrawing and...

the conformational analysis of the organic compounds specially the biologically active natural products has attracted the consideration of different research groups. therefore, in the present study the mp2/6-311+g(d,p)//b3lyp/6-311+g(d,p) level of theory was used to study the conformations of dapdiamide d. the identity of interactions in selected conformers was studied using atom in molecule ap...