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The Lefschetz Properties pp 39–95Cite as

Basics on the Theory of Local Rings

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2080))

Abstract

The reader is assumed to have basic knowledge of the theory of commutative rings.

Let R be a commutative ring with an identity element and let \(f_{1},f_{2},\ldots,f_{m}\) be elements of R.

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Authors and Affiliations

  1. Department of Mathematics Education, Niigata University, Niigata, Japan

    Tadahito Harima

  2. Department of Mathematics, Meijo University, Nagoya, Japan

    Toshiaki Maeno

  3. Muroran Institute of Technology, Muroran, Japan

    Hideaki Morita

  4. Department of Mathematical Sciences, Shinshu University, Matsumoto, Japan

    Yasuhide Numata

  5. Department of Mathematics, Hokkaido University of Education, Kushiro, Japan

    Akihito Wachi

  6. Department of Mathematics, Tokai University, Hiratsuka, Japan

    Junzo Watanabe

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Harima, T., Maeno, T., Morita, H., Numata, Y., Wachi, A., Watanabe, J. (2013). Basics on the Theory of Local Rings. In: The Lefschetz Properties. Lecture Notes in Mathematics, vol 2080. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38206-2_2

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