Simple reflexive modules over Artin algebras
2019 ◽
Vol 18
(10)
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pp. 1950193
Keyword(s):
Let [Formula: see text] be an Artin algebra. It is well known that [Formula: see text] is selfinjective if and only if every finitely generated [Formula: see text]-module is reflexive. In this paper, we pose and motivate the question whether an algebra [Formula: see text] is selfinjective if and only if every simple module is reflexive. We give a positive answer to this question for large classes of algebras which include for example all Gorenstein algebras and all QF-3 algebras.
2014 ◽
Vol 13
(06)
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pp. 1450022
Keyword(s):
1980 ◽
Vol 32
(2)
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pp. 342-349
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1979 ◽
Vol 31
(5)
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pp. 942-960
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1994 ◽
Vol 116
(2)
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pp. 229-243
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Keyword(s):
2016 ◽
Vol 16
(09)
◽
pp. 1750163
Keyword(s):
Keyword(s):
1978 ◽
Vol 30
(4)
◽
pp. 817-829
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1995 ◽
Vol 59
(3)
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pp. 366-374