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Invariability of Trivial Extensions of Tilted Algebras Under Stable Equivalences
Author(s) -
Liangang Peng,
Jie Xiao
Publication year - 1995
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/52.1.61
Subject(s) - extension (predicate logic) , equivalence (formal languages) , mathematics , pure mathematics , algebra over a field , computer science , programming language
As a sequel to [ 8 ], we investigate here the behaviour of the trivial extensions of tilted algebras under stable equivalence. It will be shown that if a finite‐dimensional symmetric algebra Λ is stably equivalent to the trivial extension of a tilted algebra B , then Λ is the trivial extension of some tilted algebra A which has the same type as B .