The non-archimedean Corona problem
Marius van der Put (1974)
Mémoires de la Société Mathématique de France
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Marius van der Put (1974)
Mémoires de la Société Mathématique de France
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Matej Brešar, Peter Šemrl (1998)
Studia Mathematica
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Let A be a semisimple Banach algebra. We define the rank of a nonzero element a in the socle of A to be the minimum of the number of minimal left ideals whose sum contains a. Several characterizations of rank are proved.
Kenneth D., Jr. Magill (1989)
Czechoslovak Mathematical Journal
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D. W. Dubois (1979)
Revista Matemática Hispanoamericana
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La Barbiera, Monica, Paratore, Mariafortuna (2005)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Aldo Conca, Jürgen Herzog (2003)
Collectanea Mathematica
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The Castelnuovo-Mumford regularity reg(M) is one of the most important invariants of a finitely generated graded module M over a polynomial ring R. For instance, it measures the amount of computational resources that working with M requires. In general one knows that the regularity of a module can be doubly exponential in the degrees of the minimal generators and in the number of the variables. On the other hand, in many situations one has or one conjectures a much better behavior. One...