Let C be a positive integer cone and k \in C. A C-semigroup S is k-positioned if for every h \in 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 \in C.
Positioned and primary positioned $$\mathcal {C}$$-semigroups
Cisto, C.
;
2026-01-01
Abstract
Let C be a positive integer cone and k \in C. A C-semigroup S is k-positioned if for every h \in 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 \in C.File in questo prodotto:
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