Author
P. N. Georgiadis
Bio: P. N. Georgiadis is an academic researcher. The author has contributed to research in topics: Integrally closed domain & Integral domain. The author has an hindex of 1, co-authored 1 publications receiving 1 citations.
Topics: Integrally closed domain, Integral domain
Papers
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TL;DR: It is proved that when an integral domain is embedded in the integral domain, that is when is isomorphic to a subdomain of, it can be constructed an integraldomain () isomorph to such that is indeed, a sub domain of () .
Abstract: In mathematics, the identification of the carriers of isomorphic algebraic structures, although mathematically inappropriate, is a standard practice. In this paper we deal with the case of the identification of the carriers of integral domains, and we prove that when an integral domain is embedded in the integral domain , that is when is isomorphic to a subdomain of , we can construct an integral domain () isomorphic to such that is indeed, a subdomain of () .
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01 Jan 2015
TL;DR: In Mathematics, it is common practice to identify the carriers of isomorphic algebraic structures as mentioned in this paper, which is incompatible with the rigour and the accuracy which are the main characteristics of Mathematics.
Abstract: In Mathematics, it is common practice to identify the carriers of isomorphic algebraic structures. We believe that this is incompatible with the rigour and the accuracy which are the main characteristics of Mathematics. Specifically, if ( )( )( )