Decompositions of finitely generated modules
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- by Thomas S. Shores PDF
- Proc. Amer. Math. Soc. 30 (1971), 445-450 Request permission
Abstract:
A commutative ring with unit is called a d-ring if every finitely generated Loewy module is a direct sum of cyclic submodules. It is shown that every d-ring is a T-ring, i.e., Loewy modules over such rings satisfy a primary decomposition theorem. Some applications of this result are given.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 30 (1971), 445-450
- MSC: Primary 13.40
- DOI: https://doi.org/10.1090/S0002-9939-1971-0281708-X
- MathSciNet review: 0281708