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Continuous and finite-dimensional modules

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Part of the book series: Mathematics and Its Applications ((MAIA,volume 449))

Abstract

Let B and D be two rings. A (B, D)-bimodule is an Abelian group H equipped with a left B-module structure and a right D-module structure such that (bh)d = b(hd) for any bB, hH, and dD. The symbol B H D is used to denote this situation.

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© 1998 Springer Science+Business Media Dordrecht

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Tuganbaev, A.A. (1998). Continuous and finite-dimensional modules. In: Semidistributive Modules and Rings. Mathematics and Its Applications, vol 449. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5086-6_4

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  • DOI: https://doi.org/10.1007/978-94-011-5086-6_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6136-0

  • Online ISBN: 978-94-011-5086-6

  • eBook Packages: Springer Book Archive

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