ON SOME LATTICES OF MODULE CLASSES
2006 ◽
Vol 05
(01)
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pp. 105-117
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In this work we continue the discussion of the conatural classes introduced in [1]. We prove that the collection R-conat of all conatural classes of left modules over a ring R is a set, and it is a boolean lattice. Afterwards we study relationships between some lattices of module classes: R-conat and R-tors, R-her and R-quot. As a consequence of the developed theory we obtain characterizations of left MAX rings and artinian principal ideal rings.
1970 ◽
Vol 11
(4)
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pp. 490-498
2011 ◽
Vol 10
(04)
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pp. 605-613
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2003 ◽
Vol 24
(2)
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pp. 219-228
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1997 ◽
Vol 258
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pp. 219-231
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1984 ◽
Vol 25
(1)
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pp. 27-30
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2004 ◽
Vol 188
(1-3)
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pp. 287-304
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2019 ◽
Vol 18
(02)
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pp. 1950023
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