Structure of locally idempotent algebras.
Abel, Mati (2007)
Banach Journal of Mathematical Analysis [electronic only]
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Abel, Mati (2007)
Banach Journal of Mathematical Analysis [electronic only]
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L. Torkzadeh, M. M. Zahedi (2006)
Mathware and Soft Computing
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In this note we classify the bounded hyper K-algebras of order 3, which have D = {1}, D = {1,2} and D = {0,1} as a dual commutative hyper K-ideal of type 1. In this regard we show that there are such non-isomorphic bounded hyper K-algebras.
Hermann Render (1997)
Colloquium Mathematicae
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The aim of this paper is an investigation of topological algebras with an orthogonal sequence which is total. Closed prime ideals or closed maximal ideals are kernels of multiplicative functionals and the continuous multiplicative functionals are given by the “coefficient functionals”. Our main result states that an orthogonal total sequence in a unital Fréchet algebra is already a Schauder basis. Further we consider algebras with a total sequence satisfying and for all n ∈ ℕ. ...
Abel, Mati (2010)
Annals of Functional Analysis (AFA) [electronic only]
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M. Wojciechowski, W. Żelazko (1997)
Colloquium Mathematicae
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Hübner, Marion, Petersson, Holger P. (2004)
Beiträge zur Algebra und Geometrie
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Sergio Albeverio, Bakhrom A. Omirov, Isamiddin S. Rakhimov (2006)
Extracta Mathematicae
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Gardner, B.J., Mason, Gordon (2006)
Beiträge zur Algebra und Geometrie
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Flaut, Cristina (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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K. Samei (2000)
Colloquium Mathematicae
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The space of maximal ideals is studied on semiprimitive rings and reduced rings, and the relation between topological properties of Max(R) and algebric properties of the ring R are investigated. The socle of semiprimitive rings is characterized homologically, and it is shown that the socle is a direct sum of its localizations with respect to isolated maximal ideals. We observe that the Goldie dimension of a semiprimitive ring R is equal to the Suslin number of Max(R).
Fiedler, Bernd (2001)
Séminaire Lotharingien de Combinatoire [electronic only]
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W. Żelazko (1998)
Colloquium Mathematicae
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To Czesław Ryll-Nardzewski on his 70th birthday