On PP-Endomorphism Rings
1993 ◽
Vol 36
(2)
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pp. 227-230
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AbstractA characterization is given of when all kernels (respectively images) of endomorphisms of a module are direct summands, a necessary condition being that the endomorphism ring itself is a left (respectively right) PP-ring. This result generalizes theorems of Small, Lenzing and Colby-Rutter and shows that R is left hereditary if and only if the endomorphism ring of every injective left module is a right PP-ring.
1991 ◽
Vol 50
(1)
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pp. 116-137
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Keyword(s):
1966 ◽
Vol 27
(2)
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pp. 697-708
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1971 ◽
Vol 23
(1)
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pp. 69-76
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Keyword(s):
2019 ◽
Vol 19
(03)
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pp. 2050048
Keyword(s):
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2007 ◽
Vol 50
(3)
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pp. 409-417
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1978 ◽
Vol 30
(5)
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pp. 1070-1078
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Keyword(s):
1988 ◽
Vol 38
(2)
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pp. 273-291
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Keyword(s):
2016 ◽
Vol 16
(07)
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pp. 1750140