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Tag Archives: graded rings
Commutative Algebra 61
In this article, we will consider algebraic geometry in the projective space. Throughout this article, k denotes an algebraically closed field. Projective Space Definition. Let . On the set , we consider the equivalence relation: The projective n-space is the set … Continue reading
Posted in Advanced Algebra
Tagged algebraic geometry, closed subsets, cones, graded rings, nullstellensatz, projective varieties, varieties
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Commutative Algebra 53
Graded Rings Definition. A grading on a ring A is a collection of additive subgroups such that as abelian groups, and for any , i.e.. A graded ring is a ring A with a specified grading. Note The notation means every … Continue reading
Posted in Advanced Algebra
Tagged graded modules, graded rings, graded submodules, UFDs
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Mathematics and Such 