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Tag Archives: radical ideals
Commutative Algebra 3
Algebraic Geometry Concepts We have decided to introduce, at this early point, some basics of algebraic geometry in order to motivate the later concepts. In summary, algebraic geometry studies solutions to polynomial equations over a field. First we consider a … Continue reading
Posted in Advanced Algebra
Tagged algebraic geometry, commutative rings, ideals, nullstellensatz, radical ideals, rings, topology, zariski topology
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Commutative Algebra 2
Radical of an Ideal In this installation, we will study more on ideals of a ringĀ A. Definition. If is an ideal, its radical is defined by To fix ideas, again consider the case again. For the ideal (m) where , … Continue reading
Posted in Advanced Algebra
Tagged commutative rings, ideal division, ideals, radical ideals, rings
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