Derived homotopy algebras
Jeroen Maes, Fernando Muro
TL;DR
This paper develops a theory of minimal models for operad algebras over commutative rings, broadening the scope beyond fields and extending Sagave's associative case work.
Contribution
It introduces a general framework for minimal models of operad algebras over arbitrary commutative rings, expanding existing algebraic theory.
Findings
Established minimal models for operad algebras over rings
Extended Sagave's associative case to more general settings
Provided foundational tools for future algebraic research
Abstract
We develop a theory of minimal models for algebras over an operad defined over a commutative ring, not necessarily a field, extending and supplementing the work of Sagave in the associative case.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology