Zobrazeno 1 - 10
of 110
pro vyhledávání: '"Irina Cristea"'
Autor:
Mohammad Hamidi, Irina Cristea
Publikováno v:
AIMS Mathematics, Vol 9, Iss 6, Pp 15891-15910 (2024)
The aim of this paper is to introduce and study the concept of a hyperideal-based zero-divisor graph associated with a general hyperring. This is a generalized version of the zero-divisor graph associated with a commutative ring. For any general hype
Externí odkaz:
https://doaj.org/article/41f533e9a90d472b9c75c05496924519
Publikováno v:
Mathematics, Vol 12, Iss 14, p 2161 (2024)
This book collects under one cover twelve original research papers and one review paper submitted to the Special Issue “State-of-the-Art Mathematical Applications in Europe” and published in the MDPI journal Mathematics from December 2021 to Janu
Externí odkaz:
https://doaj.org/article/d15c17da395a4dc793c274bb6ba291c0
Autor:
Andromeda Sonea, Irina Cristea
Publikováno v:
AIMS Mathematics, Vol 8, Iss 4, Pp 7731-7746 (2023)
We study the Euler's totient function (called also the Euler's phi function) in the framework of finite complete hypergroups. These are algebraic hypercompositional structures constructed with the help of groups, and endowed with a multivalued operat
Externí odkaz:
https://doaj.org/article/24d9c5363abb4b07ac8b175657e7efcb
Publikováno v:
AIMS Mathematics, Vol 7, Iss 12, Pp 20767-20780 (2022)
This paper falls in the area of hypercompositional algebra. In particular it focuses on the class of Krasner hyperrings and it studies the regular local hyperrings. These are Krasner hyperrings $ R $ with a unique maximal hyperideal $ M $ having the
Externí odkaz:
https://doaj.org/article/412ba07cd8ad45fcbba6e5688478d52a
Publikováno v:
Axioms, Vol 13, Iss 1, p 7 (2023)
HX-groups are a natural generalization of groups that are similar in construction to hypergroups. However, they do not have to be considered as hypercompositional structures like hypergroups; instead, they are classical groups. After clarifying this
Externí odkaz:
https://doaj.org/article/96e5bf37863d460aa84d9758b179c080
Autor:
Irina Cristea, Hashem Bordbar
Publikováno v:
Mathematics, Vol 11, Iss 15, p 3259 (2023)
Connections between algebraic structure theory and graph theory have been established in order to solve open problems in one theory with the help of the tools existing in the other, emphasizing the remarkable properties of one theory with techniques
Externí odkaz:
https://doaj.org/article/163fb6927671497b8d11d2fb5dbcdebc
Autor:
Irina Cristea
Publikováno v:
Computer Sciences & Mathematics Forum, Vol 7, Iss 1, p 26 (2023)
The aim of this paper is to review the most important properties and applications of the complete hypergroups. We will focus on the reversibility, regularity and reducibility properties, on the class equation and the commutativity degree of the compl
Externí odkaz:
https://doaj.org/article/0ac0fdc298ea4dd28a971860ec1701d9
Autor:
Alessandro Linzi, Irina Cristea
Publikováno v:
Symmetry, Vol 15, Iss 2, p 311 (2023)
With the aim of developing the recent theory of dependence relations, we elaborate a procedure to measure the strength of the influence of an element on another with respect to a given dependence relation on a finite set. We call this measure the deg
Externí odkaz:
https://doaj.org/article/2c382a1acd5645628e43883041a78207
Autor:
Irina Cristea
Publikováno v:
Symmetry, Vol 14, Iss 10, p 2160 (2022)
Symmetry plays a fundamental role in our daily lives and in the study of the structure of different objects in physics, chemistry, biology, mathematics, architecture, arts, sociology, linguistics, etc [...]
Externí odkaz:
https://doaj.org/article/d06bdb7e8e074d37a274ab7851ee8661
Publikováno v:
Mathematics, Vol 10, Iss 11, p 1945 (2022)
In this study, the role of supplements in Krasner hypermodules is examined and related to normal π-projectivity. We prove that the class of supplemented Krasner hypermodules is closed under finite sums and under quotients. Moreover, we give characte
Externí odkaz:
https://doaj.org/article/a4cbe974994440a3a55085559f6ff4c4