Bhatwadekar, Srikant M. ; Sharma, Pramod K. (2005) Unique factorization and birth of almost primes Communications in Algebra, 33 (1). pp. 43-49. ISSN 0092-7872
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Official URL: http://www.informaworld.com/smpp/content~db=all~co...
Related URL: http://dx.doi.org/10.1081/AGB-200034161
Abstract
In studying unique factorization of domains we encountered a property of ideals. Using that we define the notion of almost prime ideals and prove that in Noetherian domains almost prime ideals are primary. We also prove that in a regular domain almost primes are precisely primes. Further, we define strictly nonprime ideals and study some inter relations between almost prime ideals, strictly nonprime ideals and factorization of ideals.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Taylor and Francis Ltd. |
| Keywords: | Almost Prime Ideal; Prime Ideal; Regular Ring; Strictly Nonprime Ideal; Unique Factorization Domain |
| ID Code: | 3206 |
| Deposited On: | 11 Oct 2010 09:58 |
| Last Modified: | 18 May 2011 09:30 |
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