a mathematical ring that is contained inside another ring, so the multiplication and addition of the inner ring will affect the outer ring
Examples of 'subring' in a sentence
subring
Let 𝑇 be a commutative ring, 𝐼 a prime ideal of 𝑇, 𝐷 a subring of 𝑇/𝐼, and 𝑅 the pullback 𝑇×𝑇/𝐼𝐷.
David E. Dobbs, Jay Shapiro 2012, 'Transfer of the GPIT Property in Pullbacks', International Journal of Mathematics and Mathematical Scienceshttp://dx.doi.org/10.1155/2012/743873. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
An initial step involves the description of the commutative rings having only one proper subring.
David E. Dobbs 2016, 'On the Commutative Rings with At Most Two Proper Subrings', International Journal of Mathematics and Mathematical Scienceshttp://dx.doi.org/10.1155/2016/6912360. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)