Spinless fermions in one dimension with nearest-neighbor transfer amplitude $\ensuremath{-}t$ and interaction $V$ display a Kosterlitz-Thouless-type quantum phase transition from Luttinger liquid metal to charge density wave insulator at finite strength ${V}_{\mathrm{c}}=2t$. The authors use the matrix renormalization group (DMRG) method on rings $L\ensuremath{\le}512$ sites for an accurate loc...

Varieties like groups, rings, or Boolean algebras have the property that, in any of their members, the lattice of congruences is isomorphic to a lattice of more manageable objects: e.g. normal subgroups of groups, two-sided ideals of rings, …lters (or ideals) of Boolean algebras. Abstract algebraic logic can explain these phenomena at a rather satisfactory level of generality: in every member A...

In the title compound, C(14)H(8)N(2)S, the dicyano-substituted aromatic ring and the phenyl ring attached to the central S atom adopt an angular V-shaped configuration. The dihedral angle between the rings is 103.6°.

With each finite lattice L we associate a projectively embedded scheme V(L); as Hibi has shown, the lattice D is distributive if and only if V(D) is irreducible, in which case it is a toric variety. We first apply Birkhoff's structure theorem for finite distributive lattices to show that the orbit decomposition of V(D) gives a lattice isomorphic to the lattice of contractions of the bounded pos...

The title mol-ecule, C16H12ClNO, has a V-shaped conformation and the dihedral angle between the planes of the phenyl and benzene rings of 64.6 (1)°. No directional intermolecular interactions could be identified in the crystal.

The application of flat superconductor rings has been investigated in the structure of inductive shieldtype high temperature superconducting fault current limiters, HTc-SFCL. A laboratory scale inductive shield-type HTc-SFCL has been designed and fabricated using flat superconductor rings. The fabrication process has been fully presented. YBCO powder has been used for the fabrication of superco...

Let k be a fixed field of arbitrary characteristic and let ? basic connected Nakayama k-algebra without simple projective modules. In this article we prove that if V is an indecomposable finitely generated Gorenstein-projective left ?-module, then the versal deformation ring R(?,V) (in sense F. M. Bleher author) universal stable after taking syzygies. We also following result. ?=(?B0?) triangul...

In ring and module theory, the concept of an exact sequence is commonly employed. The generalized into U-exact V-coexact sequence. Rough set theory has also been applied to a variety algebraic structures, including groups, rings, modules, others. this study, we investigated characteristics rough in groups