On Generalized CB-Degenerations of Algebras |
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| Authors: | Adam Hajduk |
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| Institution: | Faculty of Mathematics and Computer Science , Nicolaus Copernicus University , Chopina , Toruń , Poland |
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| Abstract: | We introduce a concept generalizing classical degenerations of algebras (defined by structure constants) and Crawley-Boevey degenerations introduced in 3
Crawley-Boevey , W. W. ( 1995 ). Tameness of biserial algebras . Arch. Math. 65 : 399 – 407 .Crossref], Web of Science ®] , Google Scholar]]. We prove that if A 0 is such a generalized degeneration of A 1 and the algebras have equal dimensions, then A 0 is a degeneration of A 1 in the classical sense. |
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| Keywords: | Degenerations of algebras Representation types Variety of algebras |
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