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Infinite Dimensional Vector Spaces

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Lectures in Abstract Algebra

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 31))

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Abstract

Up to this point we have directed our attention to the consideration of finite dimensional vector spaces exclusively. While it is true that the basic concepts of the finite case are applicable for arbitrary spaces, it is not obvious that all of these are significant for spaces without finite bases.

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© 1953 N. Jacobson

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Jacobson, N. (1953). Infinite Dimensional Vector Spaces. In: Lectures in Abstract Algebra. Graduate Texts in Mathematics, vol 31. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-7053-6_9

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  • DOI: https://doi.org/10.1007/978-1-4684-7053-6_9

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4684-7055-0

  • Online ISBN: 978-1-4684-7053-6

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