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A graded associative algebra with a square-zero differential satisfying the graded Leibniz rule.
This node uses the cochain convention. An ordinary associative algebra can be formed from the total direct sum only when that direct sum exists in the ambient setting.
wp-differential-graded-algebranlab-differential-graded-algebrastacks-dgaEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
For a cochain complex of modules in a compatible symmetric monoidal additive setting, add a degree-zero associative graded multiplication and require the graded Leibniz rule.
Equip an existing carrier or structured object with additional chosen data, when such compatible data exists. Use a construction junction when several independently meaningful inputs must coexist on the same carrier or interact compatibly.
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