We develop a theory of G-dimension over local homomorphisms which encompasses the classical theory of G-dimension for finitely generated modules over local rings. As an application, we prove that a local ring R of characteristic p is Gorenstein if and only if it possesses a nonzero finitely generated module of finite projective dimension that has finite G-dimension when considered as an R-modul...

The Brueckner G-matrix for a slab of nuclear matter is analyzed in the singlet 1 S and triplet 3 S + 3 D channels. The complete Hilbert space is split into two domains, the model subspace S 0 , in which the two-particle propagator is calculated explicitly, and the complementary one, S ′ , in which the local potential approximation is used. This kind of local approximation was previously found t...

In this research, we propose to implement Secure Real Time Transport Protocol (SRTP) on VoIP services in campus environment. Today, the deployment of VoIP in campus environment over wireless local area network (WLAN) is not considered on security during communication between two parties. Therefore, this study is to analyzed SRTP performance on different VoIP codec selection over wired. We have ...

For s ∈ P(Q) \ {0, 1}, we study the compatible system of Galois representations (ρ l (3) : Gal(Q̄/Q) → G2(Ql))l introduced in [4], where G2(Ql) ≤ GL7(Ql) is the simple group of type G2. We prove that, under some mild condition on s, the image of the Tate twisted Galois representation ρ l (3) coincides with G2(Zl) for all l up to a set of primes having density zero, and we show that ρ l is potent...

Bounded local G-shtuka are function field analogs for p-divisible groups with extra structure. We describe their deformations and moduli spaces. The latter are analogous to Rapoport-Zink spaces for p-divisible groups. The underlying schemes of these moduli spaces are affine DeligneLusztig varieties. For basic Newton polygons the closed Newton stratum in the universal deformation of a local G-sh...

A local coloring of a graph G is a function c : V (G) → N such that for each S ⊆ V (G), 2 ≤ |S| ≤ 3, there exist u, v ∈ S with |c(u) − c(v)| at least the size of the subgraph induced by S. The maximum color assigned by c is the value χl(c) of c, and the local chromatic number of G is χl(G) = min{χl(c) : c local coloring of G}. In this note the local chromatic number is determined for Cartesian ...

Surgical treatment of hernia is one of the most common procedures in general popula‐ tion. Since it was traditionally treated as “non‐complex” operation, it is an ideal pro‐ cedure for ambulatory surgery settings. Ambulatory surgery is superior to in‐hospital treatment due to faster patient flow, reduced patient stress, early mobilization, and lower overall costs. Unforeseen hospitalization can...

In this work, the concentration gradient (CG) analysis of local-scale exploration for Porphyry-Cu deposits is applied in two zones using the G(Vz) index (CG(Zn*Pb)/CG(Cu*Mo)). The first zone is covered by a 1:2000 map of the Sungun and Astamal areas in NW Iran and the second one in the Inza area in British Columbia, Canada. The rock samples are taken from Sungun and Astamal and the soil samples...

The concept of a local k-coloring of a graph G is introduced and the corresponding local k-Ramsey number r 1 ~c(G) is considered. A local k-coloring of G is a coloring ofits edges in such a way that the edges incident to any vertex of G are colored with at most k colors. The number r 1 ~c(G) is the minimum m for which Km contains a monochromatic copy of G for every local k-coloring of Km. The n...