International Journal of Mathematics Trends and Technology
Volume 52 | Number 9 | Year 2017 | Article Id. IJMTT-V52P590 | DOI : https://doi.org/10.14445/22315373/IJMTT-V52P590
A nonempty set equipped with two binary operations which satisfy certain well known properties is called ring. Now a question may arise that ‘Is it possible to define binary operations on any nonempty set so that the corresponding algebraic structure becomes a ring?’. This article answers the question in affirmative sense and establishes some results in this context. Bijection between two sets having same cardinality plays the main role in this article.
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Manoranjan Singha, "Bring a Nonempty Set, Get a Ring," International Journal of Mathematics Trends and Technology (IJMTT), vol. 52, no. 9, pp. 627-629, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V52P590
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