Sentence examples for ideal domain from inspiring English sources

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Detroit of that era was the ideal domain for a blossoming clotheshorse.

Thus (D) is a principal right ideal domain.

Thus, it is an ideal domain to study the emergence of scientifically valid knowledge.

If (S oplus D) as (D -module has couniserial D -module, thas (D) is a princouniserial idimensionin.

The core activities in an ideal domain for an agent-based solution should be based on human-oriented communication.

While the ".com" suffix is the online standard, you could probably find an ideal domain name that ends in ".biz" or ".net," says David McGuire, communications director for the Center for Technology and Democracy, an Internet policy think tank.

(2) Also, since a Dedekind domain has cancellation property, similar proof shows that if (D) is a Dedekind domain which is not right principal ideal domain, then (D oplus D) does not have couniserial dimension.

Also, since a Dedekind domain has cancellation property, similar proof shows that if (D) is a Dedekind domain which is not right principal ideal domain, then (D oplus D) does not have couniserial dimension.

As a consequence of the above proposition we have the following corollary: Let (R) be a principal right ideal domain with maximal right quotient ring (Q) (which is a division ring).

Indeed it follows from Theorem 4.10, proved later that, if the maximal right quotient ring (Q) of a domain (D) has couniserial dimension as (D -module, then (Q_D -modulencellathen property and so if (Q_Dplus D) as (D)-module has cancellationdimension, (D) must be right propertyl ideanddomain.

A Euclidean domain is always a principal ideal domain (PID), an integral domain in which every ideal is a principal ideal.

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