지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2024.4
- 수록면
- 313 - 329 (17page)
- DOI
- 10.4134/CKMS.c230178
이용수
초록· 키워드
오류제보하기
An (additive) commutative monoid is called atomic if every given non-invertible element can be written as a sum of atoms (i.e., irreducible elements), in which case, such a sum is called a factorization of the given element. The number of atoms (counting repetitions) in the corresponding sum is called the length of the factorization. Following Geroldinger and Zhong, we say that an atomic monoid $M$ is a length-finite factorization monoid if each $b \in M$ has only finitely many factorizations of any prescribed length. An additive submonoid of $\mathbb{R}_{\ge 0}$ is called a positive monoid. Factorizations in positive monoids have been actively studied in recent years. The main purpose of this paper is to give a better understanding of the non-unique factorization phenomenon in positive monoids through the lens of the length-finite factorization property. To do so, we identify a large class of positive monoids which satisfy the length-finite factorization property. Then we compare the length-finite factorization property to the bounded and the finite factorization properties, which are two properties that have been systematically investigated for more than thirty years.
목차
등록된 정보가 없습니다.
참고문헌 (0)
참고문헌 신청함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
A characterization of finite factorization positive monoids
대한수학회논문집
2022 .07
-
Factorization properties on the composite Hurwitz rings
한국수학논문집
2024 .03
-
On the sets of lengths of Puiseux monoids generated by multiple geometric sequences
대한수학회논문집
2020 .01
-
Factorization in modules and splitting multiplicatively closed subsets
대한수학회지
2018 .01
-
PMF 수용모델의 유기지표 포함 여부에 따른 서울 대기 중 PM2.5 오염원 기여도 변화 평가
한국대기환경학회 학술대회논문집
2020 .10
-
Complex factorizations of the generalized Fibonacci sequences $\{q_n\}$
한국수학논문집
2015 .01
-
PMF 수용 모델을 이용한 권역별 초미세먼지 오염원 기여도 산정
한국대기환경학회 학술대회논문집
2019 .11
-
PMF 수용모델을 이용한 제주도 PM2.5 오염원 기여도 평가 - 입력자료 처리법에 따른 비교
한국대기환경학회 학술대회논문집
2020 .10
-
인수분해공식의 기하학적 모델 구성에 대한 고찰
East Asian Mathematical Journal
2020 .01
-
Equivariant matrix factorizations and Hamiltonian reduction
대한수학회보
2017 .01
-
Erratum : Oriented transformations on a finite chain: another description
대한수학회논문집
2024 .07
-
PRESENTATIONS AND REPRESENTATIONS OF SURFACE SINGULAR BRAID MONOIDS
대한수학회지
2017 .01
-
Terminal spaces of monoids
대한수학회논문집
2024 .01
-
Crossed semimodules and cat$^{\bf 1}$-monoids
한국수학논문집
2019 .01
-
Comprehensive Analysis of PM2.5 Sources and Contributions in Seoul, South Korea: Insights from Intensive Ground-Based Monitoring
한국기상학회 학술대회 논문집
2024 .10
-
Some factorization properties of idealization in commutative rings with zero divisors
대한수학회보
2024 .03
-
The computation of positive solutions for a boundary value problem of the linear beam equation
대한수학회논문집
2017 .01
-
PMF 수용 모델을 이용한 서울시 초미세먼지 오염원 기여도 해석
한국대기환경학회 학술대회논문집
2019 .11
-
Investigations on Atmospheric Organic Aerosol Sources in Korea via Positive Matrix Factorization of Aerosol Mass Spectrometry
한국대기환경학회 학술대회논문집
2017 .11
-
Domains with invertible-radical factorization
대한수학회보
2018 .01
최근 본 자료
댓글(0)
0