Page 1

Displaying 1 – 14 of 14

Showing per page

On the Frobenius number of a modular Diophantine inequality

José Carlos Rosales, P. Vasco (2008)

Mathematica Bohemica

We present an algorithm for computing the greatest integer that is not a solution of the modular Diophantine inequality a x mod b x , with complexity similar to the complexity of the Euclid algorithm for computing the greatest common divisor of two integers.

The covariety of perfect numerical semigroups with fixed Frobenius number

María Ángeles Moreno-Frías, José Carlos Rosales (2024)

Czechoslovak Mathematical Journal

Let S be a numerical semigroup. We say that h S is an isolated gap of S if { h - 1 , h + 1 } S . A numerical semigroup without isolated gaps is called a perfect numerical semigroup. Denote by m ( S ) the multiplicity of a numerical semigroup S . A covariety is a nonempty family 𝒞 of numerical semigroups that fulfills the following conditions: there exists the minimum of 𝒞 , the intersection of two elements of 𝒞 is again an element of 𝒞 , and S { m ( S ) } 𝒞 for all S 𝒞 such that S min ( 𝒞 ) . We prove that the set 𝒫 ( F ) = { S : S is a perfect numerical semigroup with...

Currently displaying 1 – 14 of 14

Page 1