Integral Domains Having Nonzero Elements with Infinitely Many Prime Divisors

In a factorial domain, every nonzero element has only finitely many prime divisors. We study integral domains having nonzero elements with infinitely many prime divisors.

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Bibliographic Details
Published in:Communications in algebra 2007-04, Vol.35 (4), p.1333-1339
Main Authors: Coykendall, Jim, Dumitrescu, Tiberiu
Format: Article
Language:English
Subjects:
Integral domain
Principal primes
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Description
Summary:In a factorial domain, every nonzero element has only finitely many prime divisors. We study integral domains having nonzero elements with infinitely many prime divisors.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927870601041474