Torsion and protorsion modules over free ideal rings
1970 ◽
Vol 11
(4)
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pp. 490-498
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Free ideal rings (or firs, cf. [2, 3] and § 2 below) form a noncommutative analogue of principal ideal domains, to which they reduce in the commutative case, and in [3] a category TR of right R-modules was defined, over any fir R, which forms an analogue of finitely generated torsion modules. The category TR was shown to be abelian, and all its objects have finite composition length; more over, the corresponding category RT of left R-modules is dual to TR.
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1986 ◽
Vol 29
(1)
◽
pp. 25-32
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1998 ◽
Vol 40
(3)
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pp. 343-351
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1997 ◽
Vol 258
◽
pp. 219-231
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1984 ◽
Vol 25
(1)
◽
pp. 27-30
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1974 ◽
Vol 26
(5)
◽
pp. 1186-1191
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