On Maltsev Conditions associated with omitting certain types of local structures

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چکیده

Tame congruence theory identifies six Maltsev conditions associated with locally finite varieties omitting certain subsets of types of local behaviour. Extending a result of Siggers, we show that of these six Maltsev conditions only two of them are equivalent to strong Maltsev conditions for locally finite varieties. Besides omitting the unary type [18], the only other of these conditions that is strong is that of omitting the unary and affine types. We also present a Maltsev condition that is similar in form to having a Taylor term but that is associated with omitting the unary, affine, and semilattice local types.

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تاریخ انتشار 2009