A note on compact semiderivations

Matej Brešar; Yuri Turovskii

Displaying similar documents to “A note on compact semiderivations”

An analytic approach to the spectral characterization of the radical

Graham R. Allan (2008)

Studia Mathematica

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We give a simple complex-variable proof of an old result of Zemánek and Le Page on the radical of a Banach algebra. Incidentally, the argument also proves a recent result of Harris and Kadison.

On the finiteness of the semigroup of conjugacy classes of left ideals for algebras with radical square zero

Arkadiusz Męcel (2016)

Colloquium Mathematicae

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Let A be a finite-dimensional algebra over an algebraically closed field with radical square zero, and such that all simple A-modules have dimension at most two. We give a characterization of those A that have finitely many conjugacy classes of left ideals.

Regularity of Ideals and their Radicals.

M.S. Ravi (1990)

Manuscripta mathematica

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On radical-equivalent and zero-equivalent ideals

BODO RENSCHUCH (1983)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

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A radical between Jacobson and Brown-McCoy radicals

Manley, P.L. (1981)

Portugaliae mathematica

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Radicals of ideals that are not the intersection of radical primes

D. Laksov, M. Rosenlund (2005)

Fundamenta Mathematicae

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Various kinds of radicals of ideals in commutative rings with identity appear in many parts of algebra and geometry, in particular in connection with the Hilbert Nullstellensatz, both in the noetherian and the non-noetherian case. All of these radicals, except the *-radicals, have the fundamental, and very useful, property that the radical of an ideal is the intersection of radical primes, that is, primes that are equal to their own radical. It is easy to verify that...

The history of a general criterium on spaceability

Víctor M. Sánchez (2017)

Open Mathematics

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There are just a few general criteria on spaceability. This survey paper is the history of one of the first ones. Let I1 and I2 be arbitrary operator ideals and E and F be Banach spaces. The spaceability of the set of operators I1(E, F) I2(E, F) is studied. Before stating the criterium, the paper summarizes the main results about lineability and spaceability of differences between particular operator ideals obtained in recent years. They are the seed of the ideas contained in the general...