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Invariant Basis Number and Types for Strongly Graded Rings

โœ Scribed by Gene Abrams

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
64 KB
Volume
237
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

For any pair n , k of positive integers we produce a strongly Z -graded ring R 2 such that the identity component R has invariant basis number while the 0

integers n, k and n , k having n F n and k ยฌ k we produce a strongly Z -graded 2 ลฝ . ring R such that the basis-number type of R is n, k while the basis-number type 0 ลฝ X X . of R is n , k .

๐Ÿ“œ SIMILAR VOLUMES

Reduction Techniques for Strongly Graded
Reduction Techniques for Strongly Graded Rings and Finite Representation Type
โœ Jeremy Haefner ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 317 KB

We present reduction techniques for studying the category of lattices over strongly graded orders. In particular, we apply these techniques in order to reduce the problem of classifying those strongly graded orders with finite representation type to the case where the coefficient ring is a maximal o