Year: 2025
Type: article
Abstract: In this article, we classify all symmetric generalized numerical semigroups in Nd of embedding dimension 2d+1. Consequently, we show that in the case d>1, the property of being symmetric is equivalent to have a unique maximal gap with respect to natural partial order in Nd. Moreover, we deduce that when d>1, there does not exist any generalized numerical semigroup of embedding dimension 2d+1, which is almost symmetric but not symmetric.
Source: Communications in Algebra
Authors: Om Prakash Bhardwaj, Carmelo Cisto
Institutions: Chennai Mathematical Institute, University of Messina
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4411207310