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A note on infinite torsion primes of a commutative ring

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Part of the book series: NATO ASI Series ((ASIC,volume 129))

Abstract

Let R be a commutative ring with identity 1. In this note, we show that a notion of infinite torsion prime with a bounded level is included in a notion of local signature.

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References

  1. D.K.Harrison: Finite and infinite primes for rings and fields, Memoirs Amer. Math. Soc. 68 (1966).

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  2. T.Kanzaki and K.kitamura: Notes on infinite primes of a commutative ring, to appear in Mathematica Japonica Vol. 28, No.5.

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  3. T.Kanzaki: On signatures on rings, preprint.

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© 1984 D. Reidel Publishing Company

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Kanzaki, T. (1984). A note on infinite torsion primes of a commutative ring. In: van Oystaeyen, F. (eds) Methods in Ring Theory. NATO ASI Series, vol 129. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6369-6_14

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  • DOI: https://doi.org/10.1007/978-94-009-6369-6_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-6371-9

  • Online ISBN: 978-94-009-6369-6

  • eBook Packages: Springer Book Archive

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