On topologically nilpotent algebras
J. Miziołek, T. Müldner, A. Rek (1972)
Studia Mathematica
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J. Miziołek, T. Müldner, A. Rek (1972)
Studia Mathematica
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Mostafa Mbekhta, Jaroslav Zemánek (2007)
Banach Center Publications
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Barbari, P., Kobotis, A. (1998)
Balkan Journal of Geometry and its Applications (BJGA)
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Graham Allan (1996)
Studia Mathematica
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The class of elements of locally finite closed descent in a commutative Fréchet algebra is introduced. Using this notion, those commutative Fréchet algebras in which the algebra ℂ[[X]] may be embedded are completely characterized, and some applications to the theory of automatic continuity are given.
W. Bade, P. Curtis, A. Sinclair (2000)
Studia Mathematica
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Let A be a commutative unital Banach algebra and let A/ℛ be the quotient algebra of A modulo its radical ℛ. This paper is concerned with raising bounded groups in A/ℛ to bounded groups in the algebra A. The results will be applied to the problem of splitting radical extensions of certain Banach algebras.
P. Dixon, V. Müller (1992)
Studia Mathematica
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A Banach algebra A is said to be topologically nilpotent if tends to 0 as n → ∞. We continue the study of topologically nilpotent algebras which was started in [2]
Israel N. Herstein (1986)
Revista Matemática Iberoamericana
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A well-known theorem due to Kolchin states that a semi-group G of unipotent matrices over a field F can be brought to a triangular form over the field F [4, Theorem H]. Recall that a matrix A is called unipotent if its only eigenvalue is 1, or, equivalently, if the matrix I - A is nilpotent. Many years ago I noticed that this result of Kolchin is an immediate consequence of a too-little known result due to Wedderburn [6]. This result of Wedderburn asserts that if B is a finite...
Burde, Dietrich (1999)
Journal of Lie Theory
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Jaroslav Zemánek (1976)
Commentationes Mathematicae Universitatis Carolinae
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С.В. Пчелинцев (1985)
Algebra i Logika
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Albert, A.A. (1949)
Portugaliae mathematica
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