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Principal-like ideals and related polynomial content conditions

In: Commutative Algebra

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  • D. D. Anderson

    (University of Iowa)

Abstract

We discuss several classes of ideals (resp., modules) having properties shared by principal ideals (resp., cyclic modules). These include multiplication ideals and modules and cancellation ideals and modules. We also discuss polynomial content conditions including Gaussian ideals and rings and Armendariz rings.

Suggested Citation

  • D. D. Anderson, 2011. "Principal-like ideals and related polynomial content conditions," Springer Books, in: Marco Fontana & Salah-Eddine Kabbaj & Bruce Olberding & Irena Swanson (ed.), Commutative Algebra, pages 1-21, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4419-6990-3_1
    DOI: 10.1007/978-1-4419-6990-3_1
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