S. D. Scott has shown that the group of automorphisms of the near ring generated by the automorphisms of a given group is isomorphic to the automorphism group of the given group if that group's automorphism is complete. Here that theorem is generalized by showing that the group of automorphisms of a near ring distributively generated by its units is a subgroup of the group of automorphisms of t...

In this study, the reaction of 3-Picrylamino-1, 2, 4-Triazole (PATO) with B12N12 was investigated by density functional theory in the B3LYP/6-31G(d) level of theory. There were two possible isomers for reaction of PATO with B12N12 via carbon and nitrogen atoms of triazole ring to the Born atom of B12N12 (I and II-isomers). Thermo...

In this study, the reaction of 3-Picrylamino-1, 2, 4-Triazole (PATO) with B12N12 was investigated by density functional theory in the B3LYP/6-31G(d) level of theory. There were two possible isomers for reaction of PATO with B12N12 via carbon and nitrogen atoms of triazole ring to the Born atom of B12N12 (I and II-isomers). Thermo...

Two independent molecules that differ in terms of rotation about the central S-N bond comprise the asymmetric unit of the title compound 1. The molecules have a V-shape with the dihedral angles between the fused ring system and benzene ring being 79.08(6)° and 72.83(5)°, respectively. The packing is mostly driven by p···p interactions occurring between the tolyl ring of one molecule and the C6 ...

A stereoselective synthesis of the monodeuterated methyleneaziridine shown allowed stereochemical course formal SNV-mode ring-opening with copper-based organometallics to be assigned.

We study the category of wheeled PROPs using tools from Invariant Theory. A typical example a PROP is mixed tensor algebra V=T(V)⊗T(V⋆), where T(V) on an n-dimensional vector space over field K characteristic 0. First we classify all ideals initial object Z in PROPs. show that non-degenerate sub-wheeled V are exactly subalgebras form VG G closed, reductive subgroup general linear group GL(V). W...

for some real number X, the symbol V denoting the lattice least upper bound. Any ring R is regular [10] if for each xER there is an xaER such that xx°x = x. It is evident that every regular F-ring R contains a maximal bounded sub-F-ring R, the F-ring of all xER satisfying equation (1.1). The relationship between a regular F-ring and its maximal bounded sub-F-ring is analogous to that between th...

In the title compound, C(14)H(8)N(2)S, the dicyano-substituted aromatic ring and the phenyl ring attached to the central S atom adopt an angular V-shaped configuration. The dihedral angle between the rings is 103.6°.

let $r$ be a ring with unity. the undirected nilpotent graph of $r$, denoted by $gamma_n(r)$, is a graph with vertex set ~$z_n(r)^* = {0neq x in r | xy in n(r) for some y in r^*}$, and two distinct vertices $x$ and $y$ are adjacent if and only if $xy in n(r)$, or equivalently, $yx in n(r)$, where $n(r)$ denoted the nilpotent elements of $r$. recently, it has been proved that if $r$ is a left ar...

the crystal structure of the compound c20 h24 n2 o24 was determined by direct methods. thecrystals are monoclinic, space group p21/n, and unit cell parameters are: a= 10.2342 (9), b=4.8763 (5),c=19.3578 (11) a, β =98.9632 (10) o ,v=956.6 (5) a3, z=2, dc=1.239grm-3, dm=1.22grm-3. the final rfactorsare converged to r=0.059 and rw=0.056 for 553 independent observed reflections. themolecules are li...