On The Asymptotic Values of Length Functions In Krull And Finitely Generated commutative Monoids
2003 ◽
Vol 74
(3)
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pp. 421-436
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Keyword(s):
AbstractLet M be a commutative cancellative atomic monoid. We consider the behaviour of the asymptotic length functions and on M. If M is finitely generated and reduced, then we present an algorithm for the computation of both and where x is a nonidentity element of M. We also explore the values that the functions and can attain when M is a Krull monoid with torsion divisor class group, and extend a well-known result of Zaks and Skula by showing how these values can be used to characterize when M is half-factorial.
1994 ◽
Vol 96
(2)
◽
pp. 97-112
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2003 ◽
Vol 46
(2)
◽
pp. 257-267
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Keyword(s):
2009 ◽
Vol 322
(9)
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pp. 3373-3391
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1981 ◽
pp. 146-171