Selfinjective algebras of polynomial growth.

Andrzej Skowronski

Displaying similar documents to “Selfinjective algebras of polynomial growth.”

Algebras of polynomial growth

Andrzej Skowroński (1990)

Banach Center Publications

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Tame algebras with strongly simply connected Galois coverings

Andrzej Skowroński (1997)

Colloquium Mathematicae

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Algebras with Cycle-Finite Derived Categories.

Ibrahim Assem, Andrzej Skowronski (1988)

Mathematische Annalen

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Group algebras of polynomial growth.

Andrzej Skowronski (1987)

Manuscripta mathematica

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Tame triangular matrix algebras

Zbigniew Leszczyński, Andrzej Skowroński (2000)

Colloquium Mathematicae

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We describe all finite-dimensional algebras A over an algebraically closed field for which the algebra $T_{2} (A)$ of 2×2 upper triangular matrices over A is of tame representation type. Moreover, the algebras A for which $T_{2} (A)$ is of polynomial growth (respectively, domestic, of finite representation type) are also characterized.

Selfinjective and Simply Connected Algebras.

Otto Bretscher, C. Läser (1981)

Manuscripta mathematica

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A Criterion for Finite Representation Type.

Klaus Bongartz (1984)

Mathematische Annalen

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A functor between categories of regular modules for wild hereditary algebras.

William Crawley-Boevey, Otto Kerner (1994)

Mathematische Annalen

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Tame three-partite subamalgams of tiled orders of polynomial growth

Daniel Simson (1999)

Colloquium Mathematicae

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Assume that K is an algebraically closed field. Let D be a complete discrete valuation domain with a unique maximal ideal p and residue field D/p ≌ K. We also assume that D is an algebra over the field K . We study subamalgam D-suborders $Λ^{•}$ (1.2) of tiled D-orders Λ (1.1). A simple criterion for a tame lattice type subamalgam D-order $Λ^{•}$ to be of polynomial growth is given in Theorem 1.5. Tame lattice type subamalgam D-orders $Λ^{•}$ of non-polynomial growth are completely described in Theorem...

Polynomial algebra of constants of the Lotka-Volterra system

Jean Moulin Ollagnier, Andrzej Nowicki (1999)

Colloquium Mathematicae

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Let k be a field of characteristic zero. We describe the kernel of any quadratic homogeneous derivation d:k[x,y,z] → k[x,y,z] of the form $d = x (C y + z) \frac{\partial}{\partial x} + y (A z + x) \frac{\partial}{\partial y} + z (B x + y) \frac{\partial}{\partial z}$ , called the Lotka-Volterra derivation, where A,B,C ∈ k.

Polynomial growth trivial extensions of simply connected algebras

Jerzy Nehring, Andrzej Skowroński (1989)

Fundamenta Mathematicae

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Generalized one-point extensions.

Peter Dräxler (1996)

Mathematische Annalen

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On two tame algebras with super-decomposable pure-injective modules

Stanisław Kasjan, Grzegorz Pastuszak (2011)

Colloquium Mathematicae

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Let k be a field of characteristic different from 2. We consider two important tame non-polynomial growth algebras: the incidence k-algebra of the garland 𝒢₃ of length 3 and the incidence k-algebra of the enlargement of the Nazarova-Zavadskij poset 𝒩 𝓩 by a greatest element. We show that if Λ is one of these algebras, then there exists a special family of pointed Λ-modules, called an independent pair of dense chains of pointed modules. Hence, by a result of Ziegler, Λ admits a super-decomposable...