Decomposition and classification of length functions
Keyword(s):
AbstractWe study decompositions of length functions on integral domains as sums of length functions constructed from overrings. We find a standard representation when the integral domain admits a Jaffard family, when it is Noetherian and when it is a Prüfer domains such that every ideal has only finitely many minimal primes. We also show that there is a natural bijective correspondence between singular length functions and localizing systems.
2005 ◽
Vol 04
(02)
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pp. 195-209
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2014 ◽
Vol 14
(02)
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pp. 1550019
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1999 ◽
Vol 60
(1)
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pp. 129-135
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1986 ◽
Vol 38
(2)
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pp. 286-303
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2019 ◽
Vol 19
(07)
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pp. 2050122
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1978 ◽
Vol 19
(2)
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pp. 199-203
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1978 ◽
Vol 26
(4)
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pp. 465-474
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1979 ◽
Vol 22
(3)
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pp. 331-337
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