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

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.