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
- 2024.9
- 수록면
- 533 - 544 (12page)
이용수
초록· 키워드
오류제보하기
Given a groupoid $(X,*)$ and a real-valued function $d: X\to {\bf R}$, a new (derived) function $\Phi(X,*)(d)$ is defined as $[\Phi(X,*)(d)](x, y):= d(x*y) + d(y*x)$ and thus $\Phi(X,*): {\bf R}^X \to {\bf R}^{X^2}$ as well, where ${\bf R}$ is the set of real numbers. The mapping $\Phi(X,*)$ is an {\bf R}-linear transformation also. Properties of groupoids $(X,*)$, functions $d: X\to {\bf R}$, and linear transformations $\Phi(X,*)$ interact in interesting ways as explored in this paper. Because of the great number of such possible interactions the results obtained are of necessity limited. Nevertheless, interesting results are obtained. E.g., if $(X,*, 0)$ is a groupoid such that $x*y= 0= y*x$ if and only if $x=y$, which includes the class of all $d/BCK$-algebras, then $(X,*)$ is $*$-metrizable, i.e., $\Phi(X,*)(d) : X^2 \to X$ is a metric on $X$ for some $d: X\to {\bf R}$.
목차
등록된 정보가 없습니다.
참고문헌 (0)
참고문헌 신청함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Order related concepts for arbitrary groupoids
대한수학회보
2017 .07
-
Monodromy groupoid of a local topological group-groupoid
한국수학논문집
2019 .01
-
Normality and quotient in crossed modules over groupoids and 2-groupoids
한국수학논문집
2019 .01
-
Bracket functions on groupoids
대한수학회논문집
2019 .01
-
Generalized crossed modules over generalized group-groupoids
한국수학논문집
2024 .03
-
On $(m,n)$-ideals of an ordered Abel-Grassmann groupoid
한국수학논문집
2015 .01
-
Characterization of Travel Groupoids by Partition Systems on Graphs
East Asian Mathematical Journal
2019 .01
-
$C^*$-algebra of local conjugacy equivalence relation on strongly irreducible subshift of finite type
대한수학회보
2024 .01
-
Finite BCK-algebras are solvable
대한수학회논문집
2016 .01
-
Orbit equivalence on self-similar groups and their $C^*$-algebras
대한수학회지
2020 .01
-
Algebras of Gelfand-continuous functions into Arens-Michael algebras
대한수학회논문집
2019 .01
-
CHARACTERIZATIONS OF SIMPLE BCK/BCI-ALGEBRAS
충청수학회지
2019 .01
-
PRIME FILTERS OF COMMUTATIVE BE-ALGEBRAS
Journal of applied mathematics & informatics
2015 .01
-
Quasi-Valuation Maps on BCK/BCI-Algebras
Kyungpook Mathematical Journal
2015 .01
-
Quasi-commutative semigroups of finite order related to Hamiltonian groups
대한수학회보
2015 .01
-
Semi-prime closure operations on BCK-algebra
대한수학회논문집
2015 .01
-
Some new characterizations of quasi-Frobenius rings by using pure-injectivity
대한수학회보
2020 .01
-
On the generalized principally injective modules
대한수학회보
2024 .03
-
ON SOME GENERALIZATIONS OF CLOSED SUBMODULES
대한수학회보
2015 .01
-
On quasi-commutative rings
대한수학회지
2016 .01
최근 본 자료
댓글(0)
0