A group is called morphic if for each normal endomorphism α in end(G),there exists β such that ker(α)= Gβ and Gα= ker(β). In this paper, we consider the case that there exist normal endomorphisms β and γ such that ker(α)= Gβ and Gα = ker(γ). We call G quasi-morphic, if this happens for any normal endomorphism α in end(G). We get the following results: G is quasi-morphic if and only if, for any ...

Theory of massless scalar field φ with interaction gφ 3 in six-dimensional space is considered. A possibility of initial scale invariance breaking, which results in a spontaneous arising of effective interaction G φ 4 , is studied by application of Bogolubov quasi-averages approach. It is shown, that compensation equation for form-factor of this interaction in approximation up to the third orde...

We prove that the separating space of an epimorphism from a Lie–Banach algebra onto the (continuous) derivation algebra Der(A) of a Banach algebra A consists of derivations which map into the radical of A.

We show that the category of regular epimorphisms in a Barr exact Goursat category is almost Barr exact in the sense that (it is a regular category and) every regular epimorphism in it is an effective descent morphism.

Thomassen conjectured that every 4-connected line graph is hamiltonian. It has been proved that every 4-connected line graph of a claw-free graph, or an almost claw-free graph, or a quasi-claw-free graph, is hamiltonian. In 1998, Ainouche et al. [2] introduced the class of DCT graphs, which properly contains both the almost claw-free graphs and the quasi-claw-free graphs. Recently, Broersma and...

The potential bioconversion of synthesis gas (syngas) to fuels and chemicals by microbial cell has attracted considerable attention in past decade. The feasibility of enhancing syngas bioconversion to ethanol and acetate using Clostridium ljungdahlii in a continuous tank bioreactor (CSTBR), kinetics and mass transfer coefficient of carbon monoxide (CO) utilization were evaluated. Two different ...

Three-dimensional filaments of quasi-geostrophic potential vorticity are generic features atmospheric and oceanic flows. They often generated during the strong interactions between three-dimensional vortices. contribute to a direct cascade enstrophy in spectral space. These correspond shear zones. Therefore they may be sensitive instabilities akin Kelvin–Helmholtz instability classical two-dime...

It is a longstanding problem in Algebraic Geometry to determine whether the syzygy bundle Ed1,...,dn on P N defined as the kernel of a general epimorphism φ : O(−d1)⊕ · · · ⊕ O(−dn) O is (semi)stable. In this note, we restrict our attention to the case of syzygy bundles Ed,n on P associated to n generic forms f1, . . . , fn ∈ K[X0, X1, . . . , XN ] of the same degree d. Our first goal is to pro...