Notes in Algebra I

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Uni Bonn -- SS25, Algebra I collaborative deck. In case of questions, contact August: [email protected]

Status	Last Update	Fields
Published	04/13/2025	Def. \(a \,\)unit of a ring \(A\), \(A^\times\)
Published	04/13/2025	Def. \(a \,\)zero divisor of a ring \(A\)
Published	04/13/2025	Def. field
Published	04/13/2025	Def. ideal \(I\) of a ring \(A\)
Published	04/13/2025	Def. ideal generated by a subset \(S\) of a ring \(A\)
Published	04/13/2025	Def. integral domain
Published	04/13/2025	Def. maximal ideal \(I\neq A \,\)of a ring \(A\)
Published	04/13/2025	Def. prime ideal \(I\neq A \,\)of a ring \(A\)
Published	04/13/2025	Def. principal ideal of a ring \(A\)
Published	04/13/2025	Def. ring
Published	04/13/2025	Def. ring homomorphism for \(A, B\) rings: map \(f \colon A\to B\) such that....
Published	04/13/2025	For a ring \(A,\) an ideal \(I \subseteq A, \) the associent quotient map \(\pi \colon A \to A/I\) is {{c1::surject…
Published	04/13/2025	Homomorphism Theorem for rings \(A, B\)
Status	Last Update	Fields