regular vs preparatory classes

In this paper first we introduce the notion of weak $Gamma$-(semi)hypergroups, next some classes of equivalence relations which are called good regular and strongly good regular relations are defined. Then we investigate some properties of this kind of relations on weak $Gamma$-(semi)hypergroups.

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The unit sum number of Baer rings

Journal: Bulletin of the Iranian Mathematical Society 2016

N. Ashrafi, N. Pouyan,

In this paper we prove that each element of any regular Baer ring is a sum of two units if no factor ring of R is isomorphic to Z_2 and we characterize regular Baer rings with unit sum numbers $omega$ and $infty$. Then as an application, we discuss the unit sum number of some classes of group rings.

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Equiangular line systems and switching classes containing regular graphs

Journal: :Linear Algebra and its Applications 2018

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Regular isotopy classes of link diagrams from Thompson's groups

Journal: :Journal of Knot Theory and Its Ramifications 2023

In 2014, Vaughan Jones developed a method to produce links from elements of Thompson’s group [Formula: see text], and showed that all arise this way. He also introduced subgroup text] oriented subgroup. 2018, Valeriano Aiello construction. We classify exactly those regular isotopy classes as well answering question asked by in 2018.

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