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Andrzej Skowroński (2001)
Colloquium Mathematicae
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We introduce a new wide class of finite-dimensional algebras which admit families of standard stable tubes (in the sense of Ringel [17]). In particular, we prove that there are many algebras of arbitrary nonzero (finite or infinite) global dimension whose Auslander-Reiten quivers admit faithful standard stable tubes.
Raymond Mortini (2014)
Annales Polonici Mathematici
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It is shown how to embed the polydisk algebras (finite and infinite ones) into the disk algebra A(𝔻̅). As a consequence, one obtains uniform closed subalgebras of A(𝔻̅) which have arbitrarily prescribed stable ranks.
Røordam, Mikael (2001)
Documenta Mathematica
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Goldberg, Moshe (2008)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Richard H. Herman, L.N. Vaserstein (1984)
Inventiones mathematicae
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Rudolf Rupp (1990)
Studia Mathematica
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J. Auslander, P. Seibert (1964)
Annales de l'institut Fourier
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Les auteurs étudient la notion de prolongement au sens de T. Ura et ses relations avec la notion d’ensembles positivement invariants. La stabilité au sens de Liapounoff est équivalente à l’invariance par prolongement. Les auteurs dégagent ensuite la notion de “prolongements abstraits” et les notions de stabilité correspondantes; la stabilité absolue (associée au prolongement minimal transitif) et la stabilité asymptotique jouent un rôle important.
Jerzy Białkowski, Andrzej Skowroński (2002)
Colloquium Mathematicae
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We classify all tame self/injective algebras having simply connected Galois coverings and the stable Auslander-Reiten quivers consisting of stable tubes. Moreover, the classification of nondomestic polynomial growth standard self/injective algebras is completed.
Graham Allan (1998)
Studia Mathematica
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We introduce an algebraic notion-stability-for an element of a commutative ring. It is shown that the stable elements of Banach algebras, and of Fréchet algebras, may be simply described. Part of the theory of power-series embeddings, given in [1] and [4], is seen to be of a purely algebraic nature. This approach leads to other natural questions.
Antipov, M.A. (2005)
Zapiski Nauchnykh Seminarov POMI
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Rafał Bocian, Andrzej Skowroński (2003)
Colloquium Mathematicae
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We classify (up to Morita equivalence) all symmetric special biserial algebras of Euclidean type, by algebras arising from Brauer graphs.
Stutson, Donna, Vatsala, A.S. (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Markus Linckelmann (1996)
Mathematische Zeitschrift
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Zygmunt Pogorzały (2001)
Colloquium Mathematicae
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We study a connection between left-right projective bimodules and stable equivalences of Morita type for finite-dimensional associative algebras over a field. Some properties of the category of all finite-dimensional left-right projective bimodules for self-injective algebras are also given.