Titlebook: Exercises in Basic Ring Theory; Grigore Cǎlugǎreanu,Peter Hamburg Book 1998 Springer Science+Business Media B.V. 1998 Lattice.algebra.asso

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Zero DivisorsZero divisors are defined in the introduction of the first chapter.

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Divisibility in Integral DomainsIf . a commutative ring, we say that . (denoted .) if there is an element .. One checks .|. ⇔ .. Two elements are . denoted by . if . and .. This is an equivalence relation and . ⇔ . An element . is called

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Semisimple RingsA ring . is called . if it is a direct sum of minimal left (right) ideals. ..

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Prime Ideals, Local RingsA proper ideal . of a ring . is called

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Titlebook: Exercises in Basic Ring Theory; Grigore Cǎlugǎreanu,Peter Hamburg Book 1998 Springer Science+Business Media B.V. 1998 Lattice.algebra.asso

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