| Title: | Numerical semigroups with distances no admisible between gaps greater than its multiplicity |
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| Authors: | ID Rosales, J. C. (Author)
ID Branco, Manuel B. (Author)
ID Traesel, Márcio A. (Author) |
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| Files: |  AMC_Rosales,_Branco,_Traesel_2026.pdf (356,42 KB)
MD5: 7AC3C366A576DE7A04FDBD7E6C320D8E
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| Language: | English |
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| Work type: | Article |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | ZUP - University of Primorska Press
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| Abstract: | Let A pabe a nonempty subset of positive integers. In this paper we study the set of numerical semigroups that fulfill: if {x,y} ⊆ ℕ\S and x > y > min(S\{0}), then x-y ∉ A. |
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| Keywords: | Frobenius pseudo-varieties, genus number, numerical semigroups, PD(A)-semigroup and tree (associated to a PD(A)-semigroup) |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 17.12.2025 |
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| Publisher: | Založba Univerze na Primorskem |
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| Year of publishing: | 2026 |
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| Number of pages: | 14 str. |
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| Numbering: | Vol. 26, no. 1, [article no.] P1.09 |
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| PID: | 20.500.12556/RUP-22293  |
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| UDC: | 51 |
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| eISSN: | 1855-3974 |
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| DOI: | 10.26493/1855-3974.2838.8be |
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| Publication date in RUP: | 21.12.2025 |
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| Views: | 275 |
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| Downloads: | 5 |
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