International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2557

Full Length Research Paper

Conditions of numerical semigroups having maximal or almost maximal length

Sedat Ä°lhan1* and Meral Süer2
  1Department of Mathematics, Faculty of Sciences, Dicle University, 21280, Diyarbakır, Turkey.     2Department of Mathematics, Faculty of Art and Sciences, Batman, Batman University, Turkey.  
Email: [email protected]

  •  Accepted: 03 February 2012
  •  Published: 30 April 2012

Abstract

 

In this paper, we will give some conditions for a numerical semigroup to have maximal or almost maximal length or to be Arf . For obtaining these conditions, we will use the type sequences  and , in cases and ,  where  for , respectively.

 

Key words: Arf semigroup, numerical semigroup, type sequence, maximal Length.