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Prime ideals and radicals of centred extensions and tensor products
Authors:Miguel Ferrero  Edmund R Puczyłowski
Institution:(1) Instituto de Matemática, Universidade Federal do Rio Grande do Sul, Porto Alegre, Brazil;(2) Institute of Mathematics, University of Warsaw, Poland
Abstract:In this paper, we study prime ideals and radicals of centred extensions of rings. Obtained results are applied to tensor products of algebras over commutative rings. This research was partially supported by Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), Brazil. The second-named author was also supported by KBN grant 2 P301 035 06.
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