Relatively free algebras with weak exchange properties
2003 ◽
Vol 75
(3)
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pp. 355-384
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Keyword(s):
AbstractWe consider algebras for which the operation PC of pure closure of subsets satisfies the exchange property. Subsets that are independent with respect to PC are directly independent. We investigate algebras in which PC satisfies the exchange property and which are relatively free on a directly independent generating subset. Examples of such algebras include independence algebras and dinitely generated free modules over principal ideal domains.
2007 ◽
Vol 50
(2)
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pp. 343-362
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1970 ◽
Vol 11
(4)
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pp. 490-498
1997 ◽
Vol 258
◽
pp. 219-231
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2010 ◽
Vol 323
(7)
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pp. 1993-2001
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1974 ◽
Vol 26
(5)
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pp. 1186-1191
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Keyword(s):
1997 ◽
Vol 35
(3)
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pp. 744-765
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