prepared, and their Ca2+ -antagonistic activity was evaluated. Among these compounds, the N-Me derivatives with m-OMe, p-F, p-Cl, 3,4-(OM4 and 3,5-(OMe)2 substituents on the A ring were found to show higher Ca2+ -antagonistic activity than verapamil . The effect of substituents on the A ring was examined quantitatively using physicochemical substituent parameters and regression analysis. The an...

Let R be a finite commutative chain ring, D 2 n the dihedral group of size and [ ] ring. In this paper, we completely characterize left ideals (called -codes) when gcd ( c h r ) , = 1 . way, explore structure some skew-cyclic codes length over also × S where is an isomorphic copy As particular result, give cyclic case F p m Galois field, classification for N -codes any positive integer both cas...

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 A...

Let K be a field of characteristic zero, n ≥ 5 an integer, f(x) an irreducible polynomial over K of degree n, whose Galois group contains a doubly transitive simple non-abelian group. Let p be an odd prime, Z[ζp] the ring of integers in the pth cyclotomic field, Cf,p : y p = f(x) the corresponding superelliptic curve and J(Cf,p) its jacobian. Assuming that either n = p + 1 or p does not divide ...

Let $R$ be a prime ring with its Utumi ring of quotients $U$,  $C=Z(U)$ the extended centroid of $R$, $L$ a non-central Lie ideal of $R$ and $0neq a in R$. If $R$ admits a generalized derivation $F$ such that $a(F(u^2)pm F(u)^{2})=0$ for all $u in L$, then one of the following holds: begin{enumerate} item there exists $b in U$ such that $F(x)=bx$ for all $x in R$, with $ab=0$; item $F(x)=...

In the title compound, C(20)H(19)N O(2)S(2),the 3Hbenzo-chromene ring system is nearly planar, with a maximum deviation of 0.036 (2) Å, and the piperidine ring adopts a chair conformation: the bond-angle sum for its N atom is 358.7°. The dihedral angle between the 3H-benzo[f]chromene ring and the piperidine ring is 89.07 (8)°. In the crystal, C-H⋯O hydrogen bonds lead to [010] C(6) chains and w...

Let R be a ring and M a right R-module. Ng (1984) defined the finitely presented dimension f p dim M of M as inf n there exists an exact sequence Pn+1 → Pn → · · · → P0 → M → 0 of right R-modules, where each Pi is projective, and Pn+1 Pn are finitely generated . If no such sequence exists for any n, set f p dim M = . The right finitely presented dimension r f p dim R of R is defined as sup f p ...

In the title mol-ecule, C(16)H(10)F(3)NO, the N-bound phenyl ring is oriented nearly orthogonal to the quinolinyl ring in order to avoid steric clashes with the trifluoro-methyl substituent [dihedral angle 89.7 (1)°].

In the title compound, C(19)H(16)F(3)N(3), the dihedral angle between the naphthalene and quinoline ring systems is 14.58 (8)°. The hydrazone C-N-N=C-C chain is in an extended conformation and its mean plane is nearly coplanar with the quinoline plane [dihedral angle = 3.45 (9)°]. The bond angles within the phenyl ring show the almost additive influence of the two para substituents. In the crys...

In the title compound, C(12)H(8)F(2)N(2)OS, the thienyl ring is disordered over two positions, with the S atom of the major component [occupancy = 75.03 (18)%] oriented away from an ortho-F atom of the benzene ring. The mol-ecule is nearly planar, the dihedral angle between the thio-phene and benzene rings being 6.19 (18) (in the major component) or 3.5 (6)° (in the minor component). The azomet...