In the title compound, C(11)H(9)F(2)N(5)OS, the pyrazole ring forms a dihedral angle of 16.42 (6)° with the benzene ring. Intra-molecular N-H⋯O hydrogen bonds generate two S(6) ring motifs. In the crystal, an R(2) (2)(8) ring motif is formed by a pair of inter-molecular N-H⋯S hydrogen bonds. Inter-molecular C-H⋯F hydrogen bonds further link the mol-ecules into a three-dimensional network.

An element in a ring is called clean if it may be written as a sum of a unit and idempotent. The ring itself is called clean if every element is clean. Recently, Anderson and Camillo (Anderson, D. D., Camillo, V. (2002). Commutative rings whose elements are a sum of a unit and an idempotent. Comm. Algebra 30(7):3327–3336) has shown that for commutative rings every von-Neumann regular ring as we...

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...

we introduce center-like subsets z*(r,f), z**(r,f) and z1(r,f), where r is a ring and f is a map from r to r. for f a derivation or a non-identity epimorphism and r a suitably-chosen prime or semiprime ring, we prove that these sets coincide with the center of r.

a topoframe, denoted by $l_{ tau}$,  is a pair $(l, tau)$ consisting of a frame $l$ and a subframe $ tau $ all of whose elements are complementary elements in$l$. in this paper, we define and study the notions of a$tau $-real-continuous function on a frame $l$ and the set of realcontinuous functions $mathcal{r}l_tau $ as an $f$-ring.we show that $mathcal{r}l_{ tau}$is actually a generalization ...

the leukocyte mi gration test (lht) in the prese nce of na t i v e igg, and l l e v amis ole were studi ed in 9 patients su f f e ring from cla s s i c a l r h e umatoid ar.thri t i s be f o r e a nd after treatment with l evamisole . fi f teen heal thy b l o od dono rs we r e s i mi l a r ly l nvestig ated a s cont r o ls . t- l ympho c yte s ub-popu lations (to ta l a nd active) a nd b-c el l...

In the title compound, C(16)H(9)F(4)N(3)O(2), the dihedral angle between the aromatic ring systems is 4.10 (14)° and a bifurcated intra-molecular N-H⋯(O,F) hydrogen bond generates an S(6) ring for the O-atom acceptor and an S(5) ring for the F-atom acceptor. A short C-H⋯O conact also occurs. In the crystal, mol-ecules are linked by C-H⋯O inter-actions.

In this research at the first complex and its halogenated derivatives were optimized. NBO calculations and NMR for the complexes were carried out at the B3LYP/6-31G*quantum chemistry level. In the 1- (4-fluorophenyl) -2, 3-dihydro-1 H-naphto- [1, 2-e] [1, 3] oxazine-3-n, there are 4 rings, respectively, rings from the side attached to the halogen They are named C, B, A, and D. Calculations and ...

equatorial/axial conversion in piperidine and phosphorinane with different substituents wereinvestigated with great details. three possible routes, i.e. heteroatom inversion and two ring inversiontype were considered. ring conversion can occur via two pathways one starts with ring flatteningfrom the heteroatom site (nitrogen in piperidine and phosphorous in phosphorinane) and the otherinitiates...

let $f$ be a finite extension of $bbb q$‎, ‎${bbb q}_p$ or a global‎ ‎field of positive characteristic‎, ‎and let $e/f$ be a galois extension‎. ‎we study the realization fields of‎ ‎finite subgroups $g$ of $gl_n(e)$ stable under the natural‎ ‎operation of the galois group of $e/f$‎. ‎though for sufficiently large $n$ and a fixed‎ algebraic number field $f$ every its finite extension $e$ is‎ ‎re...