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Every affine graded ring has a Hodge algebra structure. (English) Zbl 0619.13005
Main result: Let $$A=\oplus_{n\geq 0}A_ n\quad be$$ a graded ring, finitely generated over a field $$A_ 0=k$$. Then A has a Hodge algebra structure over k whose poset consists of homogeneous elements.
There is also a simple proof of an earlier result by the author: Every affine semigroup ring has a Hodge algebra structure.
Reviewer: R.Fröberg

##### MSC:
 13C05 Structure, classification theorems for modules and ideals in commutative rings 13F20 Polynomial rings and ideals; rings of integer-valued polynomials
##### Keywords:
graded ring; Hodge algebra; affine semigroup ring