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Duality Theory for Quasi-Injective Modules

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Methods in Ring Theory

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

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Abstract

The objective of this article is to characterize a quasi-injective module in terms of the duality it determines.

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References

  1. Bazzoni, S. “Pontryagin type dualities over commutative rings”, 1979, Ann. di Mat. Pura ed Appl. 121, pp. 373–385.

    Article  MathSciNet  MATH  Google Scholar 

  2. Lambek, J. “Localization at epimorphisms and quasi-injectives”, 1976, J. Algebra 38, pp. 163–181.

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  3. Lambek, J. and Rattray, B.A. “Localization and duality in additive categories”, 1975, Houston J. Math. 1, 87–100.

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  4. Menini, C. and Orsatti, A. “Good dualities and strongly quasi- injective modules”, 1981, Ann. di Mat. Pura ed Appl. 127, pp. 187–230.

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  5. Muller, B.J. “Duality Theory for linearly topologized modules”, 1971, Math. Z., pp. 63–74.

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  6. Sandomierski, F.L. “Linearly compact modules and local Morita Duality”, 1972, Ring Theory, R. Gordon ed., Academic Press, New York, pp. 333–346.

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  7. Zelmanowitz, J.M., and Jansen, W. “Duality and linear compactness”, 1983, Research Report 83–6, McGill University.

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© 1984 D. Reidel Publishing Company

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Zelmanowitz, J.M. (1984). Duality Theory for Quasi-Injective Modules. 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_40

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  • DOI: https://doi.org/10.1007/978-94-009-6369-6_40

  • 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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