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01496nam a2200253Ia 4500 |
| 001 |
10.1007-s40590-022-00418-7 |
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220425s2022 CNT 000 0 und d |
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|a 1405213X (ISSN)
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| 245 |
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|a Modules attached to extension bundles
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|b Birkhauser
|c 2022
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|z View Fulltext in Publisher
|u https://doi.org/10.1007/s40590-022-00418-7
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|a In this article, we study modules over wild canonical algebras which correspond to extension bundles (Kussin et al. Adv Math 237:194–251, 2013) over weighted projective lines. We prove that all modules attached to extension bundles can be established by matrices with coefficients related to the relations of the considered algebra. Moreover, we expand the concept of extension bundles over weighted projective lines with three weights to general weight type and establish similar results in this situation. Finally, we present a method to compute matrices for all modules attached to extension bundles using cokernels of maps between direct sums of line bundles. © 2022, Sociedad Matemática Mexicana.
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|a Canonical algebra
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|a Exceptional module
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|a Exceptional pair
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|a Extension bundles
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|a Frobenius category
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|a Projective cover
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|a Weighted projective line
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|a Wild type
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|a Zero-one matrix problem
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|a Kędzierski, D.E.
|e author
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|a Meltzer, H.
|e author
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| 773 |
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|t Boletin de la Sociedad Matematica Mexicana
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