Results 1 to 10 of about 5,925 (27)
Homological dimensions for co-rank one idempotent subalgebras [PDF]
, 2015 Let $k$ be an algebraically closed field and $A$ be a (left and right) Noetherian associative $k$-algebra. Assume further that $A$ is either positively graded or semiperfect (this includes the class of finite dimensional $k$-algebras, and $k$-algebras ...
Ingalls, Colin, Paquette, Charles
core +1 more source
, 2017 We present a new calculus which is well-adapted to quadratic algebras. This calculus consists in Koszul (co)homology, together with Koszul cup and cap products. Some applications are given.
Berger, Roland +2 more
core +4 more sources
Homotopy algebras inspired by classical open-closed string field theory [PDF]
, 2004 We define a homotopy algebra associated to classical open-closed strings. We call it an open-closed homotopy algebra (OCHA). It is inspired by Zwiebach's open-closed string field theory and also is related to the situation of Kontsevich's deformation ...
Kajiura, Hiroshige, Stasheff, Jim
core +5 more sources
Homotopy algebra of open-closed strings [PDF]
, 2006 This paper is a survey of our previous works on open-closed homotopy algebras, together with geometrical background, especially in terms of compactifications of configuration spaces (one of Fred's specialities) of Riemann surfaces, structures on loop ...
Kajiura, Hiroshige, Stasheff, Jim
core +5 more sources
Homological approach to the Hernandez-Leclerc construction and quiver varieties [PDF]
, 2013 In a previous paper the authors have attached to each Dynkin quiver an associative algebra. The definition is categorical and the algebra is used to construct desingularizations of arbitrary quiver Grassmannians.
Feigin, Evgeny +2 more
core +1 more source
, 2019 Contramodules are module-like algebraic structures endowed with infinite summation (or, occasionally, integration) operations satisfying natural axioms. Introduced originally by Eilenberg and Moore in 1965 in the case of coalgebras over commutative rings,
Positselski, Leonid
core +3 more sources
Smash Products of Calabi-Yau Algebras by Hopf Algebras [PDF]
, 2019 Let H be a Hopf algebra and A be an H-module algebra. This article investigates when the smash product A#H is (skew) Calabi-Yau, has Van den Bergh duality or is Artin-Schelter regular or Gorenstein.
Meur, Patrick Le
core +4 more sources
On generating series of finitely presented operads
, 2014 Given an operad P with a finite Groebner basis of relations, we study the generating functions for the dimensions of its graded components P(n). Under moderate assumptions on the relations we prove that the exponential generating function for the ...
Anton Khoroshkin +30 more
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Gorenstein projective and injective dimensions over Frobenius extensions
, 2018 Let $R\subset A$ be a Frobenius extension of rings. We prove that: (1) for any left $A$-module $M$, $_{A}M$ is Gorenstein projective (injective) if and only if the underlying left $R$-module $_{R}M$ is Gorenstein projective (injective). (2) if $\mathrm{G}
Ren, Wei
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Anick resolution and Koszul algebras of finite global dimension
, 2016 We show how to study a certain associative algebra recently discovered by Iyudu and Shkarin using the Anick resolution. This algebra is a counterexample to the conjecture of Positselski on Koszul algebras of finite global dimension.Comment: 4 ...
Chowdhury, Soutrik Roy +1 more
core +2 more sources