Projective Resolutions

2020 ◽  
pp. 71-74
Author(s):  
Robert Penner
Keyword(s):  
Projective Resolutions

scholarly journals Projective Resolutions of Generic Order Ideals

1997 ◽  
Vol 191 (1) ◽  
pp. 279-330
Author(s):  
Saeja Oh Kim
Keyword(s):  
Projective Resolutions ◽  
Order Ideals

scholarly journals Projective resolutions over Artin algebras with zero relations

1985 ◽  
Vol 29 (1) ◽  
pp. 180-190 ◽  
Author(s):  
E. L. Green ◽  
D. Happel ◽  
D. Zacharia
Keyword(s):  
Artin Algebras ◽  
Projective Resolutions

scholarly journals Comparison morphisms between two projective resolutions of monomial algebras

2017 ◽  
pp. 1-31
Author(s):  
María Julia Redondo ◽  
Lucrecia Román
Keyword(s):  
Lie Algebra ◽  
Hochschild Cohomology ◽  
Cohomology Groups ◽  
Efficient Tool ◽  
Simple Description ◽  
Monomial Algebra ◽  
Cup Product ◽  
Lie Bracket ◽  
Projective Resolutions ◽  
Bar Resolution

We construct comparison morphisms between two well-known projective resolutions of a monomial algebra $A$: the bar resolution $\operatorname{\mathbb{Bar}} A$ and Bardzell's resolution $\operatorname{\mathbb{Ap}} A$; the first one is used to define the cup product and the Lie bracket on the Hochschild cohomology $\operatorname{HH} ^*(A)$ and the second one has been shown to be an efficient tool for computation of these cohomology groups. The constructed comparison morphisms allow us to show that the cup product restricted to even degrees of the Hochschild cohomology has a very simple description. Moreover, for $A= \mathbb{k} Q/I$ a monomial algebra such that $\dim_ \mathbb{k} e_i A e_j = 1$ whenever there exists an arrow $\alpha: i \to j \in Q_1$, we describe the Lie action of the Lie algebra $\operatorname{HH}^1(A)$ on $\operatorname{HH}^{\ast} (A)$.

scholarly journals Regular projective resolutions OF SEMIMODULES

2017 ◽  
Vol 126 (1B) ◽  
Author(s):  
Nguyễn Xuân Tuyến
Keyword(s):  
Comparison Theorem ◽  
Projective Resolution ◽  
Projective Resolutions

In this paper, we present an approach version of semimodule homologies by regular projective resolutions such as define a concept of a regular projective resolution, prove the comparison theorem for semimodules by these resolutions and based them provide cohomology monoids of semimodules.

Projective resolutions of graded modules

2001 ◽  
pp. 273-282
Author(s):  
Yves Félix ◽  
Stephen Halperin ◽  
Jean-Claude Thomas
Keyword(s):  
Graded Modules ◽  
Projective Resolutions

Constructing projective resolutions

1993 ◽  
Vol 21 (6) ◽  
pp. 1869-1887 ◽  
Author(s):  
Charles D Feustel ◽  
Edward L Green ◽  
Ellen Kirkman ◽  
James Kuzmanovich
Keyword(s):  
Projective Resolutions
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