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Comparison maps for relatively free resolutions
dc.creator | Álvarez Solano, Víctor | |
dc.creator | Armario Sampalo, José Andrés | |
dc.creator | Frau García, María Dolores | |
dc.creator | Real Jurado, Pedro | |
dc.date.accessioned | 2015-12-09T11:30:47Z | |
dc.date.available | 2015-12-09T11:30:47Z | |
dc.date.issued | 2006 | |
dc.identifier.uri | http://hdl.handle.net/11441/31615 | |
dc.description.abstract | Let Λ be a commutative ring, A an augmented differential graded algebra over Λ (briefly, DGA-algebra) and X be a relatively free resolution of Λ over A. The standard bar resolution of Λ over A, denoted by B(A), provides an example of a resolution of this kind. The comparison theorem gives inductive formulae f : B(A)→X and g : X→B(A) termed comparison maps. In case that fg=1 X and A is connected, we show that X is endowed a A ∞ -tensor product structure. In case that A is in addition commutative then (X,μ X ) is shown to be a commutative DGA-algebra with the product μ X =f*(g⊗g) (* is the shuffle product in B(A)). Furthermore, f and g are algebra maps. We give an example in order to illustrate the main results of this paper. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | Computer Algebra in Scientific Computing, Lecture Notes in Computer Science, Vol.4194, p. 1-22 | es |
dc.rights | Atribución-NoComercial-CompartirIgual 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | * |
dc.subject | Symbolic and Algebraic Manipulation | es |
dc.subject | Programming Techniques | es |
dc.subject | Discrete Mathematics in Computer Science | es |
dc.subject | Algorithm Analysis and Problem Complexity | es |
dc.subject | Math Applications in Computer Science | es |
dc.subject | Algorithms | es |
dc.title | Comparison maps for relatively free resolutions | es |
dc.type | info:eu-repo/semantics/bookPart | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.identifier.doi | http://dx.doi.org/10.1007/11870814_1 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/31615 |
Ficheros | Tamaño | Formato | Ver | Descripción |
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Comparison maps.pdf | 537.6Kb | [PDF] | Ver/ | |