The Higher Relation Bimodule
نویسندگان
چکیده
منابع مشابه
The higher relation bimodule
Given a finite dimensional algebra A of finite global dimension, we consider the trivial extension of A by the A − A-bimodule ⊕i≥2 Ext 2 A(DA,A), which we call the higher relation bimodule. We first give a recipe allowing to construct the quiver of this trivial extension in case A is a string algebra and then apply it to prove that, if A is gentle, then the tensor algebra of the higher relation...
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Definition 3. Let B be a ring. Then, we denote by B [[t]] the ring of formal power series over B in the indeterminate t, where t is supposed to commute with every element of B. Formally, this means that we define B [[t]] as the ring of all sequences (b0, b1, b2, ...) ∈ BN (where N means the set {0, 1, 2, ...}), with addition defined by (b0, b1, b2, ...) + (b ′ 0, b ′ 1, b ′ 2, ...) = (b0 + b ′ ...
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ژورنال
عنوان ژورنال: Algebras and Representation Theory
سال: 2012
ISSN: 1386-923X,1572-9079
DOI: 10.1007/s10468-012-9342-6