an r-module m is called epi-retractable if every submodule of mr is a homomorphic image of m. it is shown that if r is a right perfect ring, then every projective slightly compressible module mr is epi-retractable. if r is a noetherian ring, then every epi-retractable right r-module has direct sum of uniform submodules. if endomorphism ring of a module mr is von-neumann regular, then m is semi-...

Balancing domain decomposition by constraints (BDDC) algorithms are constructed and analyzed for the system of almost incompressible elasticity discretized with Gauss–Lobatto– Legendre spectral elements in three dimensions. Initially mixed spectral elements are employed to discretize the almost incompressible elasticity system, but a positive definite reformulation is obtained by eliminating al...

We propose new primal-dual decomposition algorithms for solving systems of inclusions involving sums of linearly composed maximally monotone operators. The principal innovation in these algorithms is that they are block-iterative in the sense that, at each iteration, only a subset of the monotone operators needs to be processed, as opposed to all operators as in established methods. Determinist...

We propose new primal-dual decomposition algorithms for solving systems of inclusions involving sums of linearly composed maximally monotone operators. The principal innovation in these algorithms is that they are block-iterative in the sense that, at each iteration, only a subset of the monotone operators needs to be processed, as opposed to all operators as in established methods. Determinist...

In this paper, we consider a multiobjective programming problem with inequality and set constraints. We derive sufficient conditions for the optimality of feasible point under generalized invexity assumptions in terms convexificators. give an example to illustrate that concept convexificators is weaker than other subdifferentials. formulateWolfe Mond-Weir type duals nonsmooth constraints establ...

In the title compound, C(22)H(18)N(4)O(2)S, the seven-membered ring generated by an intra-molecular N-H⋯O hydrogen bond adopts an envelope conformation in both of the two independent mol-ecules in the asymmetric unit. In the crystal, mol-ecules are linked into C(9) chains along [100] by N-H⋯O hydrogen bonds. The mol-ecules are also weakly linked by C-H⋯O and C-H⋯N inter-actions, forming dimers ...

In this paper we introduce a primal-dual affine scaling method. The method uses a search-direction obtained by minimizing the duality gap over a linearly transformed conic section. This direction neither coincides with known primal-dual affine scaling directions (Jansen et al., 1993; Monteiro et al., 1990), nor does it fit in the generic primal-dual method (Kojima et al., 1989). The new method ...

‎‎we exhibit an explicit construction for the second cohomology group‎ ‎$h^2(l‎, ‎a)$ for a lie ring $l$ and a trivial $l$-module $a$‎. ‎we show how the elements of $h^2(l‎, ‎a)$ correspond one-to-one to the‎ ‎equivalence classes of central extensions of $l$ by $a$‎, ‎where $a$‎ ‎now is considered as an abelian lie ring‎. ‎for a finite lie‎ ‎ring $l$ we also show that $h^2(l‎, ‎c^*) cong m(l)$‎...

We study the conductance of mesoscopic graphene rings in the presence of a perpendicular magnetic field by means of numerical calculations based on a tight-binding model. First, we consider the magnetoconductance of such rings and observe the Aharonov–Bohm effect. We investigate different regimes of the magnetic flux up to the quantum Hall regime, where the Aharonov–Bohm oscillations are suppre...

Viscosity overshoot of entangled polymer melts has been observed under shear flow and uniaxial elongational flow, but never biaxial flow. We confirmed the presence viscosity flows in a mixed system ring linear polymers expressed by coarse-grained molecular dynamics simulations. The was found to be more pronounced weakly melts. Furthermore, threshold strain rate $\dot{\varepsilon}_{\rm th}$ dist...