On a certain functional identity in prime rings. II.
Brešar, M., Chebotar, M.A. (2002)
Beiträge zur Algebra und Geometrie
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Brešar, M., Chebotar, M.A. (2002)
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Gérard Leloup (2007)
Annales mathématiques Blaise Pascal
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Rings of formal power series with exponents in a cyclically ordered group were defined in []. Now, there exists a “valuation” on : for every in and in , we let be the first element of the support of which is greater than or equal to . Structures with such a valuation can be called cyclically valued rings. Others examples of cyclically valued rings are obtained by “twisting” the multiplication in . We prove that a cyclically valued ring is a subring of a power series...
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).
Abujabal, H.A.S., Khan, M.A. (1998)
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Chandan Singh Dalawat (2009)
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We show how K. Hensel could have extended Wilson’s theorem from to the ring of integers in a number field, to find the product of all invertible elements of a finite quotient of .
Kunz, Ernst, Waldi, Rolf (2007)
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Bhat, V.K. (2009)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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