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Books > Science & Mathematics > Mathematics > Applied mathematics
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Nearrings: Geneses and Applications (Hardcover)
Loot Price: R3,282
Discovery Miles 32 820
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Nearrings: Geneses and Applications (Hardcover)
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Nearrings arise naturally in various ways, but most nearrings
studied today arise as the endomorphisms of a group or cogroup
object of a category. These nearrings are rings if the group object
is also a cogroup object. During the first half of the twentieth
century, nearfields were formalized and applications to sharply
transitive groups and to foundations of geometry were utilized.
Planar nearrings grew out of the geometric success of the planar
nearfields and have found numerous applications to various branches
of mathematics as well as to coding theory, cryptography, the
design of statistical experiments, families of mutually orthogonal
Latin squares and constructing planes with circles having radius
and centre even though there is no metric involved. Even though
nearrings may lack the extra symmetry of a ring, there is often a
very sophisticated elegance in their structure. It has recently
been observed that there is an abundance of symmetry in finite
cirucular planar nearrings, which disappear if the nearring is a
ring. This book is intended for advanced graduate students.
Mathematicians with research interests in nearring theory,
commutative algebra, group theory, category th
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