Items related to Commutative ring: Ring (mathematics), Ideal (ring theory),...

Commutative ring: Ring (mathematics), Ideal (ring theory), Quotient ring, Localization of a ring, Prime ideal, Spectrum of a ring, Ring homomorphism, ... Noetherian ring, Krull dimension - Softcover

 
9786130209582: Commutative ring: Ring (mathematics), Ideal (ring theory), Quotient ring, Localization of a ring, Prime ideal, Spectrum of a ring, Ring homomorphism, ... Noetherian ring, Krull dimension

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In ring theory, a branch of abstract algebra, a commutative ring is a ring in which the multiplication operation is commutative. The study of commutative rings is called commutative algebra.Some specific kinds of commutative rings are given with the following chain of class inclusions: commutative rings ⊃ integral domains ⊃ unique factorization domains ⊃ principal ideal domains ⊃ Euclidean domains ⊃ fields.

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Reseña del editor

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In ring theory, a branch of abstract algebra, a commutative ring is a ring in which the multiplication operation is commutative. The study of commutative rings is called commutative algebra.Some specific kinds of commutative rings are given with the following chain of class inclusions: commutative rings ⊃ integral domains ⊃ unique factorization domains ⊃ principal ideal domains ⊃ Euclidean domains ⊃ fields.

"About this title" may belong to another edition of this title.