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Tag Archives: irreducible spaces
Commutative Algebra 6
Injective and Surjective Maps Proposition. Let be a morphism of closed sets, with corresponding . is injective if and only if is dense. is surjective if and only if is an embedding of V as a closed subspace of W. … Continue reading
Posted in Advanced Algebra
Tagged algebraic geometry, ideals, irreducible spaces, monomials, rings
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Commutative Algebra 4
More Concepts in Algebraic Geometry Recall that we have a bijection between radical ideals of and closed subsets of . The bijection reverses the inclusion so if and only if . Not too surprisingly, operations on ideals translate to operations … Continue reading
Posted in Advanced Algebra
Tagged algebraic geometry, closed subsets, ideals, irreducible spaces, rings, zariski topology
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