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Finite basis problem for 2-testable monoids

100%

Lee E.

Open Mathematics

2011

tom 9

nr 1

1-22

A monoid S 1 obtained by adjoining a unit element to a 2-testable semigroup S is said to be 2-testable. It is shown that a 2-testable monoid S 1 is either inherently non-finitely based or hereditarily finitely based, depending on whether or not the variety generated by the semigroup S contains the Brandt semigroup of order five. Consequently, it is decidable in quadratic time if a finite 2-testable monoid is finitely based.

An equivalence between varieties of cyclic Post algebras and varieties generated by a finite field

72%

Abad M., Díaz Varela J., López Martinolich B., C. Vannicola M., Zander M.

Open Mathematics

2006

tom 4

nr 4

547-561

In this paper we give a term equivalence between the simple k-cyclic Post algebra of order p, L p,k, and the finite field F(p k) with constants F(p). By using Lagrange polynomials, we give an explicit procedure to obtain an interpretation Φ1 of the variety V(L p,k) generated by L p,k into the variety V(F(p k)) generated by F(p k) and an interpretation Φ2 of V(F(p k)) into V(L p,k) such that Φ2Φ1(B) = B for every B ε V(L p,k) and Φ1Φ2(R) = R for every R ε V(F(p k)).

Ograniczanie wyników

2 Open Mathematics

1 Abad M.

1 C. Vannicola M.

1 Díaz Varela J.

1 Lee E.

1 López Martinolich B.

1 Zander M.

1 2011

1 2006

Wyniki wyszukiwania

Finite basis problem for 2-testable monoids

An equivalence between varieties of cyclic Post algebras and varieties generated by a finite field