The Cohen-Macaulay variety of this mathematical construct contains the class of the Gorenstein variety, which includes all regular local types known as the Artinian type.  
The Cohen-Macaulay variety of this mathematical construct contains the class of the Gorenstein variety, which includes all regular local types known as the Artinian type.  Perhaps the most famous kinds are the Dedekind type, which is a commutative one that is necessarily a Noetherian one.  Considered Abelian under addition and a semigroup under multiplication, FTP, identify this mathematical idea defined as the set of numbers that satisfy certain associative, commutative, and distributive conditions, and has a circular name.
The Cohen-Macaulay variety of this mathematical construct contains the class of the Gorenstein variety, which includes all regular local types known as the Artinian type.  
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