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One of these subsets can have the property of "unmixedness" if their height is equal to that of the associated prime of the factor set formed with this type of entities superset. The Dedekind zeta function is given as the sum of the inverses of the norm of these structures on a given number field and these structures can be constructed by a generative subset called a Grobner basis. A subset can be said to be one of these entities if for any(*) two elements in the subset, the difference of those elements also exists. The kernel of a ring homeomorphism is one of these structures and if a multiplicative identity exists, then Krull's theorem states a maximal one must also exist. Â For 10 points, identify these algebraic structures that are defined as a subring A of a ring R in which all products of elements from A and R belong to A; a term also used to describe gas behavior modeled by PV=NRT.
One of these subsets can have the property of "unmixedness" if their height is equal to that of the associated prime of the factor set formed with this type of entities superset.
ideals