Commutative Objects, Central Morphisms and Subtractors in Subtractive Categories

被引：0
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作者：
Vaino Tuhafeni Shaumbwa
机构：
[1] University of Namibia,Department of Computing, Mathematical and Statistical Sciences
[2] Stellenbosch University,Department of Mathematical Sciences
来源：
Applied Categorical Structures | 2023年 / 31卷
关键词：
Abelian object; Commutative object; Central morphism; Internal subtraction structure; Subtractor; Subtractive category; 18C40; 08C05; 18E08; 18E13;
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学科分类号：
摘要：
We give some characterizations of commutative objects in a subtractive category and central morphisms in a regular subtractive category. In particular, we show that commutative objects, i.e., internal unitary magmas, are the same as internal abelian groups in a subtractive category and that analogously, centrality has an alternative description in terms of so-called “subtractors” in a regular subtractive category.
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