MATH 228 Algebra: Introduction to Ring Theory
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This MATH 228 Algebra: Introduction to Ring Theory course can have basics of abstract rings and fields that are a significant part of any abstract pure mathematics course sequence. You'll begin with definitions and vital examples. You'll focus on cowl prime, peak ideals and vital categories of rings like integral domains, UFDs and PIDs. You'll additionally prove the Hilbert basis theorem concerning noetherian rings. The course as well discusses about the extension of fields, contiguous roots, and proves the primitive part theorem.
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