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Books > Science & Mathematics > Mathematics > Algebra
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Rings and Geometry (Paperback, Softcover reprint of the original 1st ed. 1985)
Loot Price: R9,086
Discovery Miles 90 860
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Rings and Geometry (Paperback, Softcover reprint of the original 1st ed. 1985)
Series: NATO Science Series C, 160
Expected to ship within 10 - 15 working days
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When looking for applications of ring theory in geometry, one first
thinks of algebraic geometry, which sometimes may even be
interpreted as the concrete side of commutative algebra. However,
this highly de veloped branch of mathematics has been dealt with in
a variety of mono graphs, so that - in spite of its technical
complexity - it can be regarded as relatively well accessible.
While in the last 120 years algebraic geometry has again and again
attracted concentrated interes- which right now has reached a peak
once more - , the numerous other applications of ring theory in
geometry have not been assembled in a textbook and are scattered in
many papers throughout the literature, which makes it hard for them
to emerge from the shadow of the brilliant theory of algebraic
geometry. It is the aim of these proceedings to give a unifying
presentation of those geometrical applications of ring theo~y
outside of algebraic geometry, and to show that they offer a
considerable wealth of beauti ful ideas, too. Furthermore it
becomes apparent that there are natural connections to many
branches of modern mathematics, e. g. to the theory of (algebraic)
groups and of Jordan algebras, and to combinatorics. To make these
remarks more precise, we will now give a description of the
contents. In the first chapter, an approach towards a theory of
non-commutative algebraic geometry is attempted from two different
points of view.
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