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Titlebook: Hypergroups; Paul-Hermann Zieschang Book 2023 Springer Nature Switzerland AG 2023 20N20, 20A05, 05E30.51E24, 51E05, 51E15, 51F15, 20E42, 2

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發(fā)表于 2025-3-23 11:24:38 | 只看該作者
12#
發(fā)表于 2025-3-23 16:49:35 | 只看該作者
as been developed, with the aim of understanding ill-health from a more holistic perspective; its purpose, according to Lipowski (1968), is “to study, and to formulate explanatory hypotheses about, the . between biological, psychological, and social phenomena as they pertain to person.” As a result
13#
發(fā)表于 2025-3-23 19:17:49 | 只看該作者
Basic Facts,hout the text..In Section 1.1, we show that each hypergroup has only one neutral element and only one inversion function. In Section 1.2, we compile results on products of hypergroup elements, and in Section 1.3, we provide computational rules for products of subsets of hypergroups. In Section 1.4,
14#
發(fā)表于 2025-3-24 00:40:11 | 只看該作者
15#
發(fā)表于 2025-3-24 06:15:07 | 只看該作者
16#
發(fā)表于 2025-3-24 09:07:31 | 只看該作者
Involutions,oretic involutions.1 So it should come as no surprise that involutions play a similarly important role in the theory of hypergroups as group theoretic involutions do in group theory.We will see this on several occasions throughout the rest of this monograph.
17#
發(fā)表于 2025-3-24 11:10:49 | 只看該作者
Hypergroups with a Small Number of Elements,nts. We consider hypergroups of cardinality 1, 2, 3, 4, and 6. Some intermediate results in Section 7.5 will be stated and proven in a more general context. They are about hypergroups . which contain a closed subset . with only a few elements in ..
18#
發(fā)表于 2025-3-24 15:08:11 | 只看該作者
Constrained Sets of Involutions,lutions of a hypergroup is constrained..In this chapter, we outline an abstract approach to constrained sets of involutions of hypergroups. More concrete aspects of constrained sets of involutions of hypergroups will be presented in the final two chapters of this monograph when we consider constrain
19#
發(fā)表于 2025-3-24 19:00:09 | 只看該作者
20#
發(fā)表于 2025-3-25 02:39:49 | 只看該作者
Regular Actions of (Twin) Coxeter Hypergroups, notion of a twin building in the sense of [46], can be considered in a natural way as components of a theory of hypergroups. In Sections 10.2 and 10.3, we will see that semiregular buildings (as they will be defined in Section 10.1) and regular actions of Coxeter hypergroups are equivalent mathemat
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