Vector Groupoids

A Groupoid Structure on a Vector Space

In this paper we introduce the concept of generalized vector groupoid. Several properties of them are established.

Algebraic properties of G-groupoids

The main purpose of this paper is to give a new definition for the notion of group-groupoid. Also, several basic properties of group-groupoids are established.

On transitive group G-groupoids

The purpose of this paper is to study the transitive group-groupoids.

群胚理论主要研究方向的综合阐述

The synthetic presentation of the main research directions in groupoid theory

本文系统梳理了群胚理论的主要研究方向与核心成果，涵盖拓扑群胚、李群胚、群-群胚及向量空间-群胚等主题。

Semi-inner product structures for groupoids

In this paper there are considered some scalar valued groupoid bihomomorphism structures, being in fact the groupoid counterparts of the inner product notion originally defined for vectors. These bihomomorphisms, called here the semi-inner products for groupoids, determine non-negative real valued functions which fulfill the axioms assumed for a groupoid norm concept [2].