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Unique factorization in rings with right ACC1
Published online by Cambridge University Press: 18 May 2009
Extract
If R is an integral domain with maximum condition for principal right ideals—right ACC1—every nonzero non-unit in Rhas irreducible factors, but is not necessarily a product of such factors. Using additional basic factors—called infinite primes in [1]—results about unique factorization in principal right ideal domains have been obtained in [1], [2], and [5].
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- Copyright © Glasgow Mathematical Journal Trust 1978
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