On Rad-D12 Modules
2013 ◽
Vol 21
(1)
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pp. 201-208
Abstract Let M be a right R-module. We call M Rad-D12, if for every sub- module N of M, there exist a direct summand K of M and an epimor- phism α : K → M/N such that Kererα ⊆ Rad(K). We show that a direct summand of a Rad-D12 module need not be a Rad-D12 module. We investigate completely Rad-D12 modules (modules for which every direct summand is a Rad-D12 module). We also show that a direct sum of Rad-D12 modules need not be a Rad-D12 module. Then we deal with some cases of direct sums of Rad-D12 modules.
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2000 ◽
Vol 62
(1)
◽
pp. 57-66
2018 ◽
Vol 17
(08)
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pp. 1850155
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2021 ◽
Vol 8
(3)
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pp. 467-474
2017 ◽
Vol 60
(4)
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pp. 791-806
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