Given a generically finite local extension of valuation rings V ⊂ W $V \subset W$ , the question whether is localization finitely generated V-algebra significant for approaches to problem uniformization valuations using ramification theory. Hagen Knaf proposed characterization when essentially type over in terms classical invariants associated valuations. Knaf's conjecture has been verified imp...

In this paper, the implicitly implemented LES method and fifth order bandwidth-optimized WENO scheme are used to make comprehensive studies on the interaction of vortex rings and shock waves of the MVG controlled flow at M=2.5 and Re θ θ θ θ =5760. The kinetic information of the vortex rings is carefully studied and provided. The interaction of the streamwise vortices and vortex rings are inves...

In this paper we will study cyclic codes over some special rings: Fq[u]/(u ),Fq[u1, ..., ui]/(u 2 1, u 2 2, ..., u 2 i , u1u2 − u2u1, ..., ukuj − ujuk, ...), Fq[u, v]/ ( u, v , uv − vu ) , q = p, where p is a prime number, r ∈ N−{0} and Fq is a field with q elements.

The mol-ecule of the title compound, C(22)H(27)NO(9), an azasugar derivative, consists of one benzene ring and two fused rings, which have the cis arrangement at the ring junctions, and gives a V-shaped geometry. The inter-planar angle between the five- and six-membered rings is 65.69 (11)°. The crystal structure is stablized by weak inter-molecular C-H⋯O hydrogen bonds.

The title Schiff base compound, C(14)H(12)ClNO, was prepared from 4-chloro-benzyl-amine and salicyl-aldehyde. The mol-ecule is V-shaped: the dihedral angle between the aromatic rings is 67.51 (5)°. The rings are located on the opposite side of the C=N bond, giving an E configuration. An intra-molecular N-H⋯O hydrogen bond generates a S(6) ring. In the crystal structure, only weak non-classical ...

Let Γ be an embeddable non-degenerate polar space of finite rank n≥2. Assuming that admits the universal embedding (which is true for all spaces except grids order at least 5 and certain generalized quadrangles defined over quaternion division rings), let ε:Γ→PG(V) Γ. S a subspace suppose S, regarded as space, has 2. We shall prove ε-preimage projective PG(V).

Using the notion of modified completion given in Widiger, A. (1998, Deciding degreefour-identities for alternative rings by rewriting. In Bronstein, M., Grabmeier, J., Weispfenning, V. eds, Symbolic Rewriting Techniques, PCS 15, pp. 277–288. BirkhäuserVerlag), it is shown that the word problem for the varieties of non-associative rings defined by (xy)z = y(zx) and (xy)z = y(xz) respectively can...

A t-(v, k, λ) covering is an incidence structure with v points, each block incident on exactly k points, such that every set of t distinct points is incident on at least λ blocks. By considering certain geometries over finite principal ideal rings, we construct infinite families of t-(v, k, λ) coverings having many interesting combinatorial properties. c © 1999 John Wiley & Sons, Inc. J Combin ...

Let V be a finite-dimensional vector space over a field K and let G be a sofic group. We show that every injective linear cellular automaton τ : V G → V G is surjective. As an application, we obtain a new proof of the stable finiteness of group rings of sofic groups, a result previously established by G. Elek and A. Szabó using different methods.

Let G be a finite group acting linearly on a vector space V over a field K of positive characteristic p, and let P ≤ G be a Sylow p-subgroup. Ellingsrud and Skjelbred [20] proved the lower bound depth(K[V ]) ≥ min{dim(V P ) + 2,dim(V )} for the depth of the invariant ring, with equality if G is a cyclic p-group. Let us call the pair (G,V ) flat if equality holds in the above. In this paper we u...