单实体行为的取消属性

IF 1.4 4区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2024-10-28 DOI:10.1007/s40995-024-01728-3

Kamal Ahmadi, Ali Madanshekaf

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引用次数: 0

摘要

本文介绍并检验了单似群上作用理论中的消去性质。我们会发现一些重要的行为是可以取消的。此外，我们还给出了可取消行为的一个表征。然后，我们证明了当且仅当每个行为是内部可取消的。最后，利用改进模群的重要性质，证明了在具有唯一零的Dedekind-finite S-act的范畴中，任何Dedekind-finite S-act都是可消去的，并且具有乘法消去性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Cancellation Property for Acts Over Monoids

The cancellation property in the theory of actions over a monoid is introduced and examined in this paper. We will find some significant classes of acts which are cancellable. In addition, we give a characterization of cancellable acts. Then, we prove that every act is cancellable if and only if it is internally cancellable. Finally, using significant properties of refinement monoids, we show that any Dedekind-finite S-act is cancellable and it has also multiplicative cancellation in the category of Dedekind-finite S-acts with a unique zero.

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来源期刊

Iranian Journal of Science and Technology, Transactions A: Science MULTIDISCIPLINARY SCIENCES-

CiteScore

4.00

自引率

5.90%

发文量

122

审稿时长

>12 weeks

期刊介绍： The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences