Relationship of Essentially Small Quasi-Dedekind Modules with Scalar and Multiplication Modules
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Let be a ring with 1 and D is a left module over . In this paper, we study the relationship between essentially small quasi-Dedekind modules with scalar and multiplication modules. We show that if D is a scalar small quasi-prime -module, thus D is an essentially small quasi-Dedekind -module. We also show that if D is a faithful multiplication -module, then D is an essentially small prime -module iff is an essentially small quasi-Dedekind ring.
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1983 ◽
Vol 41
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pp. 194-195
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1970 ◽
Vol 28
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pp. 156-157
1991 ◽
Vol 49
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pp. 236-237
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1985 ◽
Vol 49
(4)
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pp. 207-213
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1985 ◽
Vol 49
(8)
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pp. 573-578
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1993 ◽
Vol 2
(3)
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pp. 52-55
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