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Affine spaces as models for regular identities

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Cho J., Dudek J.

Colloquium Mathematicum

2002

tom 91

nr 1

29-38

In [7] and [8], two sets of regular identities without finite proper models were introduced. In this paper we show that deleting one identity from any of these sets, we obtain a set of regular identities whose models include all affine spaces over GF(p) for prime numbers p ≥ 5. Moreover, we prove that this set characterizes affine spaces over GF(5) in the sense that each proper model of these regular identities has at least 13 ternary term functions and the number 13 is attained if and only if the model is equivalent to an affine space over GF(5).

Ograniczanie wyników

1 Colloquium Mathematicum

1 Cho J.

1 Dudek J.

1 2002

Wyniki wyszukiwania

Affine spaces as models for regular identities