11. Integral Domains , but I can't seem to find one or dream one up.12. An integral domain that satisfies the ascending chain conditions on divisorial ideals is called a Mori domain. 13. The entire functions on the complex plane form an integral domain ( in fact a Pr�fer domain ). 14. For another example, consider a Noetherian integral domain in which every height one prime ideal is principal. 15. For example, the product of two regular integral domains is regular, but not an integral domain. 16. For example, the product of two regular integral domains is regular, but not an integral domain . 17. These include the full subcategories of commutative rings, integral domains , principal ideal domains, and fields. 18. The procedure for doing this is similar to that of embedding an integral domain in a field,. 19. Is that because the space of matrices has zero divisors and as such is not an integral domain ? 20. In case " R " is an integral domain there is an easy construction of the localization.
