Geodesic
Some Remarks on Rings
Commentationes Mathematicae, Tome 50 (2010) no. 1, pp. 35-39.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

Algebraic structures such as Rings, Fields, Boolean Algebras (Set Theory) and \(\sigma\)-Fields are well known and much has been written about them. In this paper we explore some properties of rings related to the distribution law. Specifically, we shall show that for rings there exists only one distribution law. Moreover, for the ring \((Z_{p(p−1)n} +, \cdot)\), where \((p, n) = 1\) there exist isomorphic groups \((G, +)\), \((H, \cdot)\), \(G, H \subset Z_{p(p−1)n}\) of the order \((p − 1)\). Finally, we note that every ring \((Z_{pn}, +, \cdot)\) contains subfields \(\text{mod}(pn)\).
DOI : 10.14708/cm.v50i1.5298
Mots-clés : Distribution law, Rings, Isomorphism 
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Lidia Obojska; Paul O’Hara. Some Remarks on Rings. Commentationes Mathematicae, Tome 50 (2010) no. 1, pp.  35-39. doi : 10.14708/cm.v50i1.5298. http://geodesic.mathdoc.fr/articles/10.14708/cm.v50i1.5298/

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