COMPARING COMMUTATIVE AND ASSOCIATIVE UNBOUNDED DIFFERENTIAL GRADED ALGEBRAS OVER Q FROM A HOMOTOPICAL POINT OF VIEW

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Authors	AMRANI Ilias
Year of publication	2015
Type	Article in Periodical
Magazine / Source	Homology, Homotopy and Applications
MU Faculty or unit	Faculty of Science
Citation
Doi	http://dx.doi.org/10.4310/HHA.2015.v17.n1.a9
Field	General mathematics
Keywords	DGA; CDGA; mapping space; rational homotopy theory; derived algebraic geometry
Description	In this paper we establish a faithfulness result, in a homotopical sense, between a subcategory of the model category of augmented differential graded commutative algebras CDGA and a subcategory of the model category of augmented differential graded algebras DGA over the field of rational numbers Q.
Related projects:	Algebraické metody v geometrii s potenciálem k aplikacím