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We classify the irreducible components of varieties of modules over tubular algebras. Our results are stated in terms of root combinatorics. They can be applied to understand the varieties of modules over the preprojective algebras of Dynkin type 𝔸₅ and 𝔻₄.

Varieties with polynomially many models, I

Paweł M. Idziak, Ralph McKenzie (2001)

Fundamenta Mathematicae

A characterization of locally finite congruence modular varieties with the number of at most k-generated models being bounded from above by a polynomial in k is given. These are exactly the varieties polynomially equivalent to the varieties of unitary modules over a finite ring of finite representation type.

Various examples of parasemifields

Tomáš Kepka, Miroslav Korbelář (2009)

Acta Universitatis Carolinae. Mathematica et Physica

Various subsemirings of the field $ℚ$ of rational numbers

Vítězslav Kala, Tomáš Kepka, Jon D. Phillips (2009)

Acta Universitatis Carolinae. Mathematica et Physica

Vector bundles on plane cubic curves and the classical Yang–Baxter equation

Igor Burban, Thilo Henrich (2015)

Journal of the European Mathematical Society

In this article, we develop a geometric method to construct solutions of the classical Yang–Baxter equation, attaching a family of classical $r$ -matrices to the Weierstrass family of plane cubic curves and a pair of coprime positive integers. It turns out that all elliptic $r$ -matrices arise in this way from smooth cubic curves. For the cuspidal cubic curve, we prove that the obtained solutions are rational and compute them explicitly. We also describe them in terms of Stolin’s classication and prove...

Vector invariant ideals of abelian group algebras under the actions of the unitary groups and orthogonal groups

Lingli Zeng, Jizhu Nan (2016)

Czechoslovak Mathematical Journal

Let $F$ be a finite field of characteristic $p$ and $K$ a field which contains a primitive $p$ th root of unity and $char K \neq p$ . Suppose that a classical group $G$ acts on the $F$ -vector space $V$ . Then it can induce the actions on the vector space $V \oplus V$ and on the group algebra $K [V \oplus V]$ , respectively. In this paper we determine the structure of $G$ -invariant ideals of the group algebra $K [V \oplus V]$ , and establish the relationship between the invariant ideals of $K [V]$ and the vector invariant ideals of $K [V \oplus V]$ , if $G$ is a unitary group or orthogonal group....

Vector-valued Jack polynomials from scratch.

Dunkl, Charles F., Luque, Jean-Gabriel (2011)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Verallgemeinerte Fasersummen von unzerlegbaren Moduln.

Wolfgang Müller (1981)

Mathematische Annalen

Vers une notion de dérivation fonctionnelle causale

Michel Fliess (1986)

Annales de l'I.H.P. Analyse non linéaire

Vladimír Kořínek (1899–1981) [Book]

Kohoutová, Zdeňka, Bečvář, Jindřich (2005)

VNR rings, $Π$ -regular rings and annihilators

Roger Yue Chi Ming (2009)

Commentationes Mathematicae Universitatis Carolinae

Von Neumann regular rings, hereditary rings, semi-simple Artinian rings, self-injective regular rings are characterized. Rings which are either strongly regular or semi-simple Artinian are considered. Annihilator ideals and $Π$ -regular rings are studied. Properties of WGP-injectivity are developed.

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