Results 21 to 30 of about 1,451,548 (325)

Vanishing Properties of Dual Bass Numbers [PDF]

open access: yesAlgebra Colloquium, 2014
Let R be a Noetherian ring, M an Artinian R-module, and 𝖒 ∈ Cos RM. Then cograde R𝔭 Hom R (R𝔭,M) = inf {i | πi(𝔭,M) > 0} and [Formula: see text] where πi(𝔭,M) is the i-th dual Bass number of M with respect to 𝔭, cograde R𝔭 Hom R (R𝔭,M) is the common length of any maximal Hom R (R𝔭, M)-quasi co-regular sequence contained in 𝔭 R𝔭, and fd R𝔭 Hom R (R𝔭,
Lingguang Li, Lingguang Li
openaire   +3 more sources

The co-stability manifold of a triangulated category [PDF]

open access: yes, 2011
Stability conditions on triangulated categories were introduced by Bridgeland as a 'continuous' generalisation of t-structures. The set of locally-finite stability conditions on a triangulated category is a manifold which has been studied intensively ...
Aihara   +2 more
core   +5 more sources

Character Expansion Methods for Matrix Models of Dually Weighted Graphs [PDF]

open access: yes, 1995
We consider generalized one-matrix models in which external fields allow control over the coordination numbers on both the original and dual lattices.
A. Matytsin   +17 more
core   +2 more sources

N=1 Dual String Pairs and their Massless Spectra [PDF]

open access: yes, 1997
We construct two chains of fourdimensional F-theory/heterotic dual string pairs with N=1 supersymmetry. On the F-theory side as well as on the heterotic side the geometry of the involved manifolds relies on del Pezzo surfaces.
Aldazabal   +25 more
core   +2 more sources

Complexified sigma model and duality [PDF]

open access: yes, 2011
We show that the equations of motion associated with a complexified sigma-model action do not admit manifest dual SO(n,n) symmetry. In the process we discover new type of numbers which we called `complexoids' in order to emphasize their close relation ...
Buscher T. H.   +4 more
core   +1 more source

On the group of automorphisms of the algebra of plural numbers

open access: yesДифференциальная геометрия многообразий фигур, 2023
The algebra of dual numbers was first introduced by V. K. Clifford in 1873. The algebras of plural and dual numbers are analogous to the algebra of complex numbers. Dual numbers form an algebra, but not a field, because only dual numbers with a real part
A. Ya. Sultanov   +2 more
doaj   +1 more source

One-Parameter Generalization of Dual-Hyperbolic Jacobsthal Numbers

open access: yesAnnales Mathematicae Silesianae, 2023
In this paper, we introduce one-parameter generalization of dual-hyperbolic Jacobsthal numbers – dual-hyperbolic r-Jacobsthal numbers. We present some properties of them, among others the Binet formula, Catalan, Cassini, and d’Ocagne identities. Moreover,
Bród Dorota   +2 more
doaj   +1 more source

More on Chiral-Nonchiral Dual Pairs [PDF]

open access: yes, 1997
Expanding upon earlier work of Pouliot and Strassler, we construct chiral magnetic duals to nonchiral supersymmetric electric theories based upon SO(7), SO(8) and SO(9) gauge groups with various numbers of vector and spinor matter superfields.
C. Csàki   +18 more
core   +2 more sources

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