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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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书目名称Exercises in Basic Ring Theory
编辑Grigore Cǎlugǎreanu,Peter Hamburg
视频video
丛书名称Texts in the Mathematical Sciences
图书封面Titlebook: Exercises in Basic Ring Theory;  Grigore Cǎlugǎreanu,Peter Hamburg Book 1998 Springer Science+Business Media B.V. 1998 Lattice.algebra.asso
描述Each undergraduate course of algebra begins with basic notions and results concerning groups, rings, modules and linear algebra. That is, it begins with simple notions and simple results. Our intention was to provide a collection of exercises which cover only the easy part of ring theory, what we have named the "Basics of Ring Theory". This seems to be the part each student or beginner in ring theory (or even algebra) should know - but surely trying to solve as many of these exercises as possible independently. As difficult (or impossible) as this may seem, we have made every effort to avoid modules, lattices and field extensions in this collection and to remain in the ring area as much as possible. A brief look at the bibliography obviously shows that we don‘t claim much originality (one could name this the folklore of ring theory) for the statements of the exercises we have chosen (but this was a difficult task: indeed, the 28 titles contain approximatively 15.000 problems and our collection contains only 346). The real value of our book is the part which contains all the solutions of these exercises. We have tried to draw up these solutions as detailed as possible, so that each
出版日期Book 1998
关键词Lattice; algebra; associative ring; commutative ring; homomorphism; ring theory; topology
版次1
doihttps://doi.org/10.1007/978-94-015-9004-4
isbn_softcover978-90-481-4985-8
isbn_ebook978-94-015-9004-4Series ISSN 0927-4529
issn_series 0927-4529
copyrightSpringer Science+Business Media B.V. 1998
The information of publication is updating

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Exercises in Basic Ring Theory978-94-015-9004-4Series ISSN 0927-4529
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Introduction: Second Nature and Naturalism,Let . a ring homomorphism. If the rings have identity . is called . if .(1) = 1’.
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A ring homomorphism . is called . if it is bijective (an isomorphism) and . (an endomorphism).
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