Generalized module groupoids
Parackal Govindan Romeo & Katti Kandi Sneha
Department of Mathematics, Cochin University of Science and Technology, Kochi, Kerala, INDIA;
Department of Mathematics, Cochin University of Science and Technology, Kochi, Kerala, INDIA
Pages 76-85 | Received 20 May 2021, Accepted 21 July 2021, Published 01 June 2022
Abstract
In this present work, we are going to present the concept of module over a generalized ring and we call it “generalized module”. In this paper we discuss some of interesting properties of generalized modules together with some examples. Also we are going to define generalized module groupoid and describe the categorical relations between the category gM of generalized modules and the category gM\mathcal G of generalized module groupoids.
Keywords: Category, Functors, Groupoid, Generalized group, Generalized group groupoid, Generalizedmodule, Generalized module groupoid.
MSC numbers: Primary 22A22; Secondary 57M10.
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