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Amalgamation bases for commutative rings without nilpotent elements

โœ Scribed by G. L. Cherlin


Book ID
112884164
Publisher
The Hebrew University Magnes Press
Year
1976
Tongue
English
Weight
337 KB
Volume
25
Category
Article
ISSN
0021-2172

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This paper is devoted to the introduction of extension rings S := R[z]/gR[z] with a suitable polynomial g 6 R[z] of arbitrary commutative rings R with identity and to the development of a normal basis concept of S over R, which is similar to that of GALOIS extensions of finite fielda. We prove new r

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A general conjecture is given for an explicit basis of the coordinate ring of the closure of the conjugacy class of a nilpotent matrix. This conjecture is proven when the partition given by the transpose Jordan type of the nilpotent matrix is a hook or has two parts.