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Displaying 41 – 60 of 254

The combinatorics of quiver representations

Harm Derksen, Jerzy Weyman (2011)

Annales de l’institut Fourier

We give a description of faces, of all codimensions, for the cones spanned by the set of weights associated to the rings of semi-invariants of quivers. For a triple flag quiver and its faces of codimension 1 this description reduces to the result of Knutson-Tao-Woodward on the facets of the Klyachko cone. We give new applications to Littlewood-Richardson coefficients, including a product formula for LR-coefficients corresponding to triples of partitions lying on a wall of the Klyachko cone. We systematically...

The combinatorics of the Garsia-Haiman modules for hook shapes.

Adin, Ron M., Remmel, Jeffrey B., Roichman, Yuval (2008)

The Electronic Journal of Combinatorics [electronic only]

The Conductor of one-dimensional Gorenstein Rings in their blowing-up.

Ferruccio Orecchia, Isabella Ramella (1990)

Manuscripta mathematica

The cones associated to some tranversal polymatroids.

Ştefan, Alin (2007)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

The connection between a conjecture of Carlisle and Kropholler, now a theorem of Benson and Crowley-Boevey, and Grothendieck's Riemannian-Roch and duality theorems.

Amnon Neeman (1995)

Commentarii mathematici Helvetici

The constants of the Volterra derivation

Pál Hegedűs (2012)

Open Mathematics

The ring of constants of the Volterra derivation is found. Confirming a conjecture of Zielinski, it is always a polynomial ring.

The Construction of a Module of Finite Projective Dimension from a Finitely Generated Module of Finite Injective Dimension.

Rodney Y. Sharp (1975)

Commentarii mathematici Helvetici

The construction of orthonormal wavelets using symbolic methods and a matrix analytical approach for wavelets on the interval.

Chyzak, Frédéric, Paule, Peter, Scherzer, Otmar, Schoisswohl, Armin, Zimmermann, Burkhard (2001)

Experimental Mathematics

The containment property for large quotient rings.

Monte B. Jr. Boisen (1973)

Journal für die reine und angewandte Mathematik

The covariety of perfect numerical semigroups with fixed Frobenius number

María Ángeles Moreno-Frías, José Carlos Rosales (2024)

Czechoslovak Mathematical Journal

Let $S$ be a numerical semigroup. We say that $h \in ℕ ∖ S$ is an isolated gap of $S$ if ${h - 1, h + 1} \subseteq S .$ A numerical semigroup without isolated gaps is called a perfect numerical semigroup. Denote by $m (S)$ the multiplicity of a numerical semigroup $S$ . A covariety is a nonempty family $𝒞$ of numerical semigroups that fulfills the following conditions: there exists the minimum of $𝒞,$ the intersection of two elements of $𝒞$ is again an element of $𝒞$ , and $S ∖ {m (S)} \in 𝒞$ for all $S \in 𝒞$ such that $S \neq min (𝒞) .$ We prove that the set $𝒫 (F) = {S : S$ is a perfect numerical semigroup with...

The covering of rings by valuation rings

Ján Mináč (1982)

Mathematica Slovaca

The cubic mapping graph for the ring of Gaussian integers modulo $n$

Yangjiang Wei, Jizhu Nan, Gaohua Tang (2011)

Czechoslovak Mathematical Journal

The article studies the cubic mapping graph $Γ (n)$ of $ℤ_{n} [i]$ , the ring of Gaussian integers modulo $n$ . For each positive integer $n > 1$ , the number of fixed points and the in-degree of the elements $\bar{1}$ and $\bar{0}$ in $Γ (n)$ are found. Moreover, complete characterizations in terms of $n$ are given in which $Γ_{2} (n)$ is semiregular, where $Γ_{2} (n)$ is induced by all the zero-divisors of $ℤ_{n} [i]$ .

The cyclic homology and K-theory of curves.

L. Reid, S. Geller, C. Weibel (1989)

Journal für die reine und angewandte Mathematik

The deformation relation on the set of Cohen-Macaulay modules on a quotient surface singularity

Trond Stølen Gustavsen, Runar Ile (2011)

Banach Center Publications

Let X be a quotient surface singularity, and define $G^{d e f} (X, r)$ as the directed graph of maximal Cohen-Macaulay (MCM) modules with edges corresponding to deformation incidences. We conjecture that the number of connected components of $G^{d e f} (X, r)$ is equal to the order of the divisor class group of X, and when X is a rational double point (RDP), we observe that this follows from a result of A. Ishii. We view this as an enrichment of the McKay correspondence. For a general quotient singularity X, we prove the conjecture...

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