A graded algebra equipped with a degree-one differential satisfying and . Its cohomology inherits a graded algebra structure. In rational homotopy, a Sullivan minimal model is a free graded-commutative differential graded algebra with decomposable generator differentials.
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Differential graded algebra (DGA) is a mathematical structure that combines concepts from algebra and topology, particularly in the context of homological algebra and algebraic topology. A DGA consists of a graded algebra equipped with a differential that satisfies certain properties. Here’s a more detailed breakdown of the components and properties: ### Components of a Differential Graded Algebra 1.