Annihilator conditions on modules over commutative rings
2016 ◽
Vol 16
(08)
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pp. 1750143
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Keyword(s):
Let [Formula: see text] be a commutative ring and [Formula: see text] an [Formula: see text]-module. Let [Formula: see text] and [Formula: see text]. [Formula: see text] satisfies Property [Formula: see text] (respectively, Property [Formula: see text]) if for each finitely generated ideal [Formula: see text] (respectively, finitely generated submodule [Formula: see text]) ann[Formula: see text] (respectively, ann[Formula: see text]). The ring [Formula: see text] satisfies Property [Formula: see text] if [Formula: see text] does. We study rings and modules satisfying Property [Formula: see text] or Property [Formula: see text]. A number of examples are given, many using the method of idealization.
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2018 ◽
Vol 2020
(1)
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pp. 112-166
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Keyword(s):
1992 ◽
Vol 111
(1)
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pp. 25-33
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2019 ◽
Vol 19
(06)
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pp. 2050111
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Keyword(s):
Keyword(s):
2016 ◽
Vol 08
(03)
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pp. 1650043
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Keyword(s):
1980 ◽
Vol 32
(6)
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pp. 1277-1287
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2001 ◽
Vol 43
(1)
◽
pp. 103-111
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Keyword(s):
2009 ◽
Vol 19
(03)
◽
pp. 373-382
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2019 ◽
Vol 19
(10)
◽
pp. 2050199
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