Functorial Properties of Star Operations: New Developments

Jesse Elliott ()
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Jesse Elliott: California State University, Channel Islands

A chapter in Rings, Polynomials, and Modules, 2017, pp 175-190 from Springer

Abstract: Abstract We generalize the definition of a star operation and related notions to rings with zerodivisors and investigate, for any universal star operation ∗, various generalizations of the ∗-linked extensions that yield functoriality of ∗-class groups. These include a generalization of the PDE extensions of a Krull domain that also yields functoriality of divisor class groups.

Keywords: Commutative ring; Star operation; Krull domain; Class group; t-class group; t-linked extension; 13A15; 13F05; 13B02 (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-65874-2_10

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DOI: 10.1007/978-3-319-65874-2_10

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