2024/11/30 by Cisto, Carmelo, Tapia-Ramos, Raquel
#05C05 #06F05 #11D07 #20M14 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.2412.00454
Let C be a positive integer cone and k∈ C. A C-semigroup S is k-positioned if for every h∈ C∖ S we have that k-h belongs to S. In this work, we focus on this family of semigroups and introduce primary positioned C-semigroups, characterizing a subfamily of them through the perspective of irreducibility. Furthermore, we provide some procedures to compute all such semigroups, describing a family of graphs containing all the primary positioned C-semigroups for a fixed k∈ C.