Commutator theory for relatively modular quasivarieties

Keith A. Kearnes, Ralph McKenzie · Transactions of the American Mathematical Society · 1992

We develop a commutator theory for relatively modular quasivarieties that extends the theory for modular varieties. We characterize relatively modular quasivarieties, prove that they have an almost-equational axiomatization and we investigate the lattice of subquasivarieties. We derive the result that every finitely generated, relatively modular quasivariety of semigroups is finitely based.

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