DECOMPOSING MODULES INTO DIRECT SUMS OF COTYPE SUBMODULES
2014 ◽
Vol 13
(05)
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pp. 1350153
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In this paper, we study the decompositions of an amply supplemented module M into a direct sum of cotype submodules. For this purpose, we introduce some conatural classes, such as the class of all q-molecular modules, the class of all q-bottomless modules, the class of all q-discrete modules and the class of all q-continuous modules, which are defined for every ring. We also find conditions on the structure of the cotype submodules of an amply supplemented module M, in order for M to have certain direct sum decompositions.
2017 ◽
Vol 60
(4)
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pp. 791-806
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Keyword(s):
1994 ◽
Vol 17
(4)
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pp. 661-666
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1981 ◽
Vol 33
(4)
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pp. 817-825
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1990 ◽
Vol 33
(1)
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pp. 11-17
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1985 ◽
Vol 8
(1)
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pp. 205-207
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2012 ◽
Vol 54
(3)
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pp. 605-617
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2010 ◽
Vol 52
(A)
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pp. 103-110
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