000127556 001__ 127556 000127556 005__ 20230911114509.0 000127556 0247_ $$2doi$$a10.1007/s00009-020-01670-9 000127556 0248_ $$2sideral$$a121983 000127556 037__ $$aART-2021-121983 000127556 041__ $$aeng 000127556 100__ $$aGarvin, Antonio 000127556 245__ $$aMaking Sullivan algebras minimal through chain contractions 000127556 260__ $$c2021 000127556 5060_ $$aAccess copy available to the general public$$fUnrestricted 000127556 5203_ $$aIn this note, we provide an algorithm that, starting with a Sullivan algebra gives us its minimal model. More concretely, taking as input a (non-minimal) Sullivan algebra A with an ordered finite set of generators preserving the filtration defined on A, we obtain as output a minimal Sullivan algebra with the same rational cohomology as A. This algorithm is a kind of modified AT-model algorithm used, in the past, to compute a chain contraction providing other kinds of topological information such as (co)homology, cup products on cohomology and persistent homology. 000127556 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000127556 590__ $$a1.305$$b2021 000127556 591__ $$aMATHEMATICS$$b96 / 333 = 0.288$$c2021$$dQ2$$eT1 000127556 591__ $$aMATHEMATICS, APPLIED$$b146 / 267 = 0.547$$c2021$$dQ3$$eT2 000127556 592__ $$a0.593$$b2021 000127556 593__ $$aMathematics (miscellaneous)$$c2021$$dQ2 000127556 594__ $$a2.0$$b2021 000127556 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000127556 700__ $$aGonzalez-Diaz, Rocio 000127556 700__ $$0(orcid)0000-0002-6750-8971$$aMarco Buzunariz, Miguel Angel$$uUniversidad de Zaragoza 000127556 700__ $$aMedrano, Belen 000127556 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología 000127556 773__ $$g18, 43 (2021), [16 pp.]$$pMediterranean Journal of Mathematics$$tMediterranean Journal of Mathematics$$x1660-5446 000127556 8564_ $$s303095$$uhttps://zaguan.unizar.es/record/127556/files/texto_completo.pdf$$yPostprint 000127556 8564_ $$s1241617$$uhttps://zaguan.unizar.es/record/127556/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000127556 909CO $$ooai:zaguan.unizar.es:127556$$particulos$$pdriver 000127556 951__ $$a2023-09-11-10:59:36 000127556 980__ $$aARTICLE