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Finite Commutative Chain Rings

✍ Scribed by Xiang-dong Hou

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
323 KB
Volume
7
Category
Article
ISSN
1071-5797

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πŸ“œ SIMILAR VOLUMES

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If R is commutative and local, this concept reduces to the classical notion w x of regularity. In contrast to Walker's definition 21 , our concept is invariant under permutation of P P, and it implies that the P are pairwise i

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## dedicated to professor klaus w. roggenkamp on the occasion of his 60th birthday We introduce a concept of Cohen-Macaulayness for left noetherian semilocal rings (and their modules) which generalizes the corresponding notion of commutative algebra and naturally applies to orders.