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We conduct an in-depth investigation into the structure of the Bogomolov multiplier for groups of order $p^{7}$ $(p > 2)$ and exponent $p$ . We present a comprehensive...

The Bordalo order on a commutative ring

Melvin Henriksen, Frank A. Smith (1999)

Commentationes Mathematicae Universitatis Carolinae

If $R$ is a commutative ring with identity and $\leq$ is defined by letting $a \leq b$ mean $a b = a$ or $a = b$ , then $(R, \leq)$ is a partially ordered ring. Necessary and sufficient conditions on $R$ are given for $(R, \leq)$ to be a lattice, and conditions are given for it to be modular or distributive. The results are applied to the rings $Z_{n}$ of integers mod $n$ for $n \geq 2$ . In particular, if $R$ is reduced, then $(R, \leq)$ is a lattice iff $R$ is a weak Baer ring, and $(R, \leq)$ is a distributive lattice iff $R$ is a Boolean ring, $Z_{3}, Z_{4}$ , $Z_{2} [x] / x^{2} Z_{2} [x]$ , or a four element field.

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 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

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Displaying 521 – 540 of 651

Sur les systèmes complets de restes modulo les idéaux d'un corps de nombres

Sur une généralisation de la notion de spectre d'anneau

Symbolic algebras of monomial primes.

Symbolic powers, Serre Conditions and Cohen-Macaulay Rees Algebras.

The adcending chain condition for real ideas.

The Apery algorithm for a plane singularity with two branches.

The Bogomolov multiplier of groups of order $p^{7}$ and exponent $p$

The Bordalo order on a commutative ring

The combinatorics of quiver representations

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

The cones associated to some tranversal polymatroids.

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.

The containment property for large quotient rings.

The covering of rings by valuation rings

The distributivity property of valuation rings

The Divisor Class Group of Ordinary and Symbolic Blow-ups.

The effect of quadratic transformations on degree functions.

The effect on associated prime ideals produced by an extension of the base field.

The equations of Rees algebras of ideals with linear presentation.

The finite free extension of artinian $K$ -algebras with the strong Lefschetz property

Currently displaying 521 – 540 of 651