Study Groupoids by Sheffer stroke

In this study, we study groupoids by Sheffer stroke. By defining subgroupoids and ideals of a groupoid with Sheffer stroke, it is proved that every ideal of a groupoid with Sheffer stroke is a subgroupoid but the converse is generally not true. Also, a congruence relation is described on the groupoid by means of ideals, and a quotient groupoid with Sheffer stroke is constructed via this congruence. Finally, relationships between Sheffer stroke algebras and this groupoid are presented.

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Publication Details

Journal
Asian-European Journal of Mathematics
Published
2025-06-11
DOI
https://doi.org/10.1142/s1793557125500597
Primary Topic
Reliability and Agreement in Measurement
Type
article
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article

Study Groupoids by Sheffer stroke

Tahsin Öner, Arsham Borumand Saeid, Ahmet Hamal, Tuğçe Katıcan
Asian-European Journal of Mathematics
Reliability and Agreement in Measurement
article

Study Groupoids by Sheffer stroke

Tahsin Öner, Arsham Borumand Saeid, Ahmet Hamal, Tuğçe Katıcan
article en

Abstract

In this study, we study groupoids by Sheffer stroke. By defining subgroupoids and ideals of a groupoid with Sheffer stroke, it is proved that every ideal of a groupoid with Sheffer stroke is a subgroupoid but the converse is generally not true. Also, a congruence relation is described on the groupoid by means of ideals, and a quotient groupoid with Sheffer stroke is constructed via this congruence. Finally, relationships between Sheffer stroke algebras and this groupoid are presented.

Asian-European Journal of MathematicsVol. 18(12)
Shahid Bahonar University of Kerman (IR), İzmir University of Economics (TR), Ege University (TR)
Zero hunger
Openalex Percentile: Top 87%
Reliability and Agreement in Measurement
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