The GCD property and irreducible quadratic polynomials.

Malik, Saroj; Mott, Joe L.; Zafrullah, Muhammad

Displaying similar documents to “The GCD property and irreducible quadratic polynomials.”

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Mimouni, A. (2010)

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On a lifting problem for principal Dedekind domains

Paolo Valabrega (1974)

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A two-dimensional domain whose integral closure is not t-linked.

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Fragmented integral domains

Dobbs, David E. (1985-1986)

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On the resolvent of an ideal and some applications.

Bouziane, Driss, Rody, Abdelilah Kandri (2003)

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McCasland, R.L., Moore, Marion E. (1991)

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Star-invertible ideals of integral domains

Gyu Whan Chang, Jeanam Park (2003)

Bollettino dell'Unione Matematica Italiana

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Let $*$ be a star-operation on $R$ and $*_{s}$ the finite character star-operation induced by $*$ . The purpose of this paper is to study when $* = v$ or $*_{s} = t$ . In particular, we prove that if every prime ideal of $R$ is $*$ -invertible, then $* = v$ , and that if $R$ is a unique $*$ -factorable domain, then $R$ is a Krull domain.

Semiprime ideals of skew polynomial rings.

Voskoglou, M.G. (1990)

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Ideal class (semi)groups and atomicity in Prüfer domains

Richard Erwin Hasenauer (2021)

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We explore the connection between atomicity in Prüfer domains and their corresponding class groups. We observe that a class group of infinite order is necessary for non-Noetherian almost Dedekind and Prüfer domains of finite character to be atomic. We construct a non-Noetherian almost Dedekind domain and exhibit a generating set for the ideal class semigroup.