Locally equational completeness of rings and semigroups

Chiaro, M. R.

doi:10.1090/S0002-9939-1977-0465981-6

Locally equational completeness of rings and semigroups
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by M. R. Chiaro PDF

Proc. Amer. Math. Soc. 66 (1977), 189-193 Request permission

Abstract:

Hu has developed locally equational classes as a generalization of equational classes. It is shown here that the lattice of equational classes of rings is a proper sublattice of the lattice of locally equational classes of rings but the locally equationally complete rings are precisely the equationally complete rings. Using the equational and locally equational class operators the locally equationally complete classes of semigroups are shown to be those that are equationally complete.

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