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ЖУРНАЛЫ // Algebra and Discrete Mathematics // Архив

Algebra Discrete Math., 2019, том 28, выпуск 2, страницы 308–316 (Mi adm733)

RESEARCH ARTICLE

Free ultra-groups, generators and relations

Behnaz Toluea, Parvaneh Zolfagharib, Gholamreza Moghaddasia

a Department of Pure Mathematics, Hakim Sabzevari University, Sabzevar, Iran
b Department of Pure Mathematics, Farhangian University, Mashhad, Iran

Аннотация: In this paper, we intend to define an ultra-group by its presentation. The attitude of the presentation for a group was the key for us to investigate in this area. Instead of writing whole elements of an ultra-group, we denote it by its generators and the relations among those generators. A general computational approach for finitely presented ultra-groups by quotient ultra-groups and subultra-groups is described and some examples are presented. It is the way that can clarify the structure of an ultra-group quicker than having just a list of elements.

Ключевые слова: ultra-groups, presentation, free ultra-groups.

MSC: 20F05, 08C05

Поступила в редакцию: 10.06.2017
Исправленный вариант: 26.09.2017

Язык публикации: английский



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