MULTIGROUPS AND MULTICOSETS

Authors

  • Yuming Feng Chongqing Three Gorges University - Intelligent Information Processing and Control of Chongqing Municipal Institutions of Higher Education
  • B.O. Onasanya University of Ibadan - Department of Mathematics

Keywords:

multisets, multigroups, submultiset, multicoset

Abstract

The present Cantor’s set theory has limitations.  In various ways, it cannot well represent realities because an element x, in Cantor’s sense, is either in or not in X.  Even, when x ∈ X, it can only occur once; no repetition is allowed.  But so many real life problems are only well represented by sets which allow repetition(s), such as multiset.  Such cases arise in, though not limited to, database query, chemical structures and computer proramming.

In this paper, we have some results on the algebraic structure of multisets and some properties of their multicosets.

Cover of n°41 Italian Journal of Pure and Applied Mathematics

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Published

2019-02-27

How to Cite

Feng, Y., & Onasanya, B. (2019). MULTIGROUPS AND MULTICOSETS. Italian Journal of Pure and Applied Mathematics, 41, 251–261. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7131

Issue

N°41 - February 2019

Section

Articoli - Forum Editrice

License

Copyright (c) 2019 Yuming Feng, B.O. Onasanya

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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