논문KCI 등재
Factorizations into irreducible numerical semigroups
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
Every numerical semigroup can be expressed as the intersection of irreducible numerical semigroups. We show that the unions of sets of lengths of factorizations of numerical semigroups into irreducible numerical semigroups are all equal to $\mathbb{N}_{\ge 2}$.
Abstract
Every numerical semigroup can be expressed as the intersection of irreducible numerical semigroups. We show that the unions of sets of lengths of factorizations of numerical semigroups into irreducible numerical semigroups are all equal to $\mathbb{N}_{\ge 2}$.
관련 논문AI추천
THE CATENARY DEGREE OF THE SATURATED NUMERICAL SEMIGROUPS WITH PRIME MULTIPLICITYMeral Suer대한수학회 · 대한수학회보2023 · 제60권 제2호On the sets of lengths of Puiseux monoids generated by multiple geometric sequencesHarold Polo대한수학회 · 대한수학회논문집2020 · 제35권 제4호A weaker notion of the finite factorization propertyHenry Jiang, Hwisoo Kim, Shihan Kanungo대한수학회 · 대한수학회논문집2024 · 제39권 제2호Symmetric and pseudo-symmetric numerical semigroups via Young diagrams and their semigroup ringsMehmet Yesil, Meral Suer대한수학회 · 대한수학회지2021 · 제58권 제6호A characterization of class groups via sets of lengthsAlfred Geroldinger, Wolfgang Alexander Schmid대한수학회 · 대한수학회지2019 · 제56권 제4호Domains with invertible-radical factorizationMalik Tusif Ahmed, Tiberiu Dumitrescu대한수학회 · 대한수학회보2018 · 제55권 제3호
이 간행물의 다른 논문 (16건)
Amalgamated algebras along an ideal defined by accr-like conditionsRidha Chatbouri, Ahmed Hamed, Ahmed Elmakkipp. 469-488Prime submodule sum graph of a module over a commutative ringReza Nikandish, Jituparna Goswami, Partha Protim Gogoipp. 489-499Endo-prime ideals of commutative ringsAbdelwahab El Najjar, Akram Salim Mohammedpp. 501-517On the structure of graded Poisson color algebrasValiollah Khalilipp. 519-535Another cosine-sine functional equation on semigroupsElhoucien Elqorachi, Keltouma Belfakihpp. 537-555