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Related papers: Projective multiresolution analyses for $L^2(R^2)$

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Recently, the reference functions for the synthesis and analysis of the autostereoscopic multiview and integral images in three-dimensional displays we introduced. In the current paper, we propose the wavelets to analyze such images. The…

Computer Vision and Pattern Recognition · Computer Science 2016-10-13 Vladimir Saveljev

We describe the Tate resolution of a coherent sheaf or complex of coherent sheaves on a product of projective spaces. Such a resolution makes explicit all the cohomology of all twists of the sheaf, including, for example, the multigraded…

Algebraic Geometry · Mathematics 2018-04-30 David Eisenbud , Daniel Erman , Frank-Olaf Schreyer

Let $R$ be a commutative ring. We show that pure injective resolutions and pure projective resolutions can be constructed for unbounded complexes of $R$-modules. We use these to obtain a closed symmetric monoidal structure on the unbounded…

Rings and Algebras · Mathematics 2016-08-25 Abhishek Banerjee

Let $\Lambda$ be a basic finite dimensional algebra over an algebraically closed field, presented as a path algebra modulo relations; further, assume that $\Lambda$ is graded by lengths of paths. The paper addresses the classifiability, via…

Representation Theory · Mathematics 2014-07-11 E. Babson , B. Huisgen-Zimmermann , R. Thomas

In wavelet based electron structure calculations introducing a new, finer resolution level is usually an expensive task, this is why often a two-level approximation is used with very fine starting resolution level. This process results in…

Quantum Physics · Physics 2016-01-20 Szilvia Nagy , János Pipek

In recent years, persistence modules have been viewed as graded modules with gradation over a preordered set serving as the indexing set. We provide sufficient criteria for a projective module over a PID to be free when the indexing set is…

Algebraic Topology · Mathematics 2026-03-04 Prateep Chakraborty , Giriraj Ghosh

We study the projective dimension of finitely generated modules over cluster-tilted algebras End(T) where T is a cluster-tilting object in a cluster category C. It is well-known that all End(T)-modules are of the form Hom(T,M) for some…

Representation Theory · Mathematics 2013-06-14 Louis Beaudet , Thomas Brustle , Gordana Todorov

The multiresolution analysis of Alpert is considered. Explicit formulas for the entries in the matrix coefficients of the refinement equation are given in terms of hypergeometric functions. These entries are shown to solve generalized…

Classical Analysis and ODEs · Mathematics 2013-09-27 Jeffrey S. Geronimo , Francisco Marcellan

We have described a novel way to determine the Mueller matrix of any optical element by using projection method. For this purpose, we have used two universal SU(2) gadgets for polarization optics to obtain projection matrix directly from…

Random sets are used to get a continuous partition of the cardinality of the union of many overlapping sets. The formalism uses M\"obius transforms and adapts Shapley's methodology in cooperative game theory, into the context of set theory.…

Mathematical Physics · Physics 2020-01-08 A. Vourdas

A multivalued projection is an idempotent linear relation with invariant domain. We characterize multivalued projections that are operator ranges (called semiclosed) and provide several formulae of them. Moreover, we study the…

Functional Analysis · Mathematics 2023-08-22 M. Laura Arias , Maximiliano Contino , Alejandra Maestripieri , Stefania Marcantognini

Differential modules over a commutative differential ring R which are finitely generated projective as ring modules, with differential homomorphisms, form an additive category, so their isomorphism classes form a monoid. We study the…

Commutative Algebra · Mathematics 2022-03-24 Lourdes Juan , Andy Magid

In this dissertation we study basic local differential geometry, projective differential geometry, and prolongations of overdetermined geometric partial differential equations. It is simple to prolong an n-th order linear ordinary…

Differential Geometry · Mathematics 2024-05-27 Jake McNaughton

Almost block diagonal linear systems of equations can be exemplified by two modules. This makes it possible to construct all sequential forms of band and/or block elimination methods, six old and fourteen new. It allows easy assessment of…

Numerical Analysis · Mathematics 2013-04-16 Tarek M. A. El-Mistikawy

Let R be a ring (associative, with 1). A non-zero module M is said to be a Pruefer module provided there exists a surjective, locally nilpotent endomorphism with kernel of finite length. The aim of this note is construct Pruefer modules…

Representation Theory · Mathematics 2007-05-29 Claus Michael Ringel

Weighted projective space arises when we consider the usual geometric definition for projective space and allow for non-trivial weights. On its own, this extra freedom gives rise to more than enough interesting phenomena, but it is the fact…

Algebraic Geometry · Mathematics 2020-11-04 Timothy Hosgood

Let $(A,\m)$ be a Noetherian local ring, let $M$ be a finitely generated \CM $A$-module of dimension $r \geq 2$ and let $I$ be an ideal of definition for $M$. Set $L^I(M) = \bigoplus_{n\geq 0}M/I^{n+1}M$. In part one of this paper we showed…

Commutative Algebra · Mathematics 2008-08-26 Tony J. Puthenpurakal

A simple procedure to obtain complete, closed expressions for Lie algebra invariants is presented. The invariants are ultimately polynomials in the group parameters. The construction of finite group elements require the use of projectors,…

Mathematical Physics · Physics 2009-10-30 R. Aldrovandi , A. L. Barbosa , L. P. Freitas

We provide a classification of generalized tilting modules and full exceptional sequences for the dual extension algebra of the path algebra of a uniformly oriented linear quiver modulo the ideal generated by paths of length two with its…

Representation Theory · Mathematics 2022-04-01 Elin Persson Westin , Markus Thuresson

A method of constructing (finitely generated and projective) right module structure on a finitely generated projective left module over an algebra is presented. This leads to a construction of a first order differential calculus on such a…

Quantum Algebra · Mathematics 2011-07-21 Tomasz Brzeziński