Affine spaces as models for regular identities

• Autorzy: Jung R. Cho , Józef Dudek
• Języki publikacji: EN

Abstrakty

EN

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).

Kategorie tematyczne

• 08A40: Operations, polynomials, primal algebras
• 03C05: Equational classes, universal algebra

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 91
• Numer: 1
• Strony: 29-38

Daty

wydano

2002

Twórcy

autor

Jung R. Cho

• Department of Mathematics, Pusan National University, Pusan 609-735, Korea

autor

Józef Dudek

• Mathematical Institute, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Identyfikatory

DOI

10.4064/cm91-1-3