Representation dimension of m-replicated algebras
Abstract Let A be a finite-dimensional hereditary algebra over an algebraically closed field and A(m) be the m-replicated algebra of A. We prove that the representation dimension of A(m) is at most 3, and that the dominant dimension of A(m) is at least m.
Author: |
Lü, HongBo [VerfasserIn] Zhang, ShunHua [VerfasserIn] |
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Format: |
Electronic Article |
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Language: |
English |
Published: |
2010 |
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Subjects: |
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Containing Work: |
Enthalten in: Science in China - Asheville, NC : Science in China Press, 1995, 53(2010), 6 vom: 28. Apr., Seite 1603-1608 |
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Containing Work: |
volume:53 ; year:2010 ; number:6 ; day:28 ; month:04 ; pages:1603-1608 |
Links: |
Volltext [lizenzpflichtig] |
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DOI / URN: |
10.1007/s11425-010-3091-y |
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Catalog id: |
SPR019130716 |
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520 | |a Abstract Let A be a finite-dimensional hereditary algebra over an algebraically closed field and A(m) be the m-replicated algebra of A. We prove that the representation dimension of A(m) is at most 3, and that the dominant dimension of A(m) is at least m. | ||
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650 | 4 | |a dominant dimension | |
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