论文标题
在岩浆和半群的半副果上
On semibiproducts of magmas and semigroups
论文作者
论文摘要
最近在单体类别的类别中分析了对两种分类的分类概念的概括，称为半脂肪，该概述涵盖了经典的半领产品，并在弱型扩展的分类中进行了惊人的结果。本文的目的是将半副绝产能的研究扩展到半群的类别。但是，观察到，需要对岩浆类别进行进一步的分析，以完全理解该主题。的确，尽管有一个岩浆运动的子类，但我们称之为代表性，这将其行为类似于半群的岩浆的所有半肌肉分类，但它比联想岩浆行动的子类更一般。
A generalization to the categorical notion of biproduct, called semibiproduct, which in the case of groups covers classical semidirect products, has recently been analysed in the category of monoids with surprising results in the classification of weakly Schreier extensions. The purpose of this paper is to extend the study of semibiproducts to the category of semigroups. However, it is observed that a further analysis into the category of magmas is required in attaining a full comprehension on the subject. Indeed, although there is a subclass of magma-actions, that we call representable, which classify all semibiproducts of magmas whose behaviour is similar to semigroups, it is nevertheless more general than the subclass of associative magma-actions.
