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Year 2
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Term 2
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A3 Rings and Modules
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Theorems
Folder: Year-2/Term-2/A3---Rings-and-Modules/Theorems
10 items under this folder.
Apr 17, 2026
01 - Ring Structure of Quotient Group
rings-and-modules
Apr 17, 2026
02 - Universal Property of Quotients
rings-and-modules
Apr 17, 2026
03 - Direct Sum Decomposition of Quotients
rings-and-modules
Apr 17, 2026
04 - Principal Ideal Domain are Unique Factorisation Domains
rings-and-modules
Apr 17, 2026
05 - Ring of Polynomials with Integer Coefficients is a UFD
rings-and-modules
Apr 17, 2026
06 - UFD Property of Polynomial Ring
rings-and-modules
Apr 17, 2026
07 - Universal Property of Quotients
rings-and-modules
Apr 17, 2026
08 - Smith Normal Form
rings-and-modules
Apr 17, 2026
09 - Structure Theorem for Finitely Generated Modules over a Euclidean Domain
rings-and-modules
Apr 17, 2026
10 - Structure Theorem in Primary Decomposition Theorem Form