A New Approach to $n$-Ary Dynamical Hypersystem
محورهای موضوعی : مجله بین المللی ریاضیات صنعتی
A. Dehghan Nezhad
1
(School of Mathematics,
Iran University of Science and Technology, Tehran, Iran.)
N. Saderi
2
(Department of Mathematics, Yazd University, Yazd, Iran.)
کلید واژه: Action group, hypergroup, $n$-Ary dynamical hypersystem, Universal n-ary hyperalgebra, Hyperstructure,
چکیده مقاله :
The primary aim of this paper is to investigate useful generalizations of the classical concept of action of a hyperstructure on a non-empty set. The main goal is to develop the theory of dynamical system to the theory of $n$-ary dynamical hypersystem. We also give some principal properties of an $n$-ary dynamical hypersystem.
هدف اولیه این مقاله بررسی کلیات مفید تعمیمی از مفهوم عمل یک ابرساختار روی یک مجموعه غیر تهی است. توسعه نظریه سیستم دینامیکی به نظریه ابر سیستم دینامیکی n گانه از اهداف اصلی است. همچنین برخی خواص اصلی ابر سیستم دینامیکی n گانه مورد بررسی قرار می گیرند.
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