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Nearrings: Geneses and Applications

by James R. Clay
Save 17% Save 17%
Current price ₹13,151.00
Original price ₹15,782.00
Original price ₹15,782.00
Original price ₹15,782.00
(-17%)
₹13,151.00
Current price ₹13,151.00

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Book cover type: Hardcover
  • ISBN13: 9780198533986
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: OUP Oxford
  • Publisher Imprint: OUP Oxford
  • Publication Date:
  • Pages: 480
  • Original Price: USD 120.0
  • Language: English
  • Edition: N/A
  • Item Weight: 912 grams
  • BISAC Subject(s): Algebra / General

Although Nearrings arise naturally in various ways, most nearrings studied today arise as the endomorphisms of a group or cogroup object of a category. During the first half of the twentieth century, nearfields were formalized using applications to sharply transitive groups and to foundations of geometry. This book details the theoretical implications of how 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, and the design of statistical families of mutually orthogonal Latin squares and constructive planes. As the author here illustrates, nearrings may lack the extra symmetry of a ring but there is often a very sophisticated elegance in their structure and, in finite circular planar nearrings, an abundance of symmetry.

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