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Nearrings: Some Developments Linked to Semigroups and Groups (Advances in Mathematics) [Hardcover]

G. Ferrero (Author)

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Book Description

ISBN-10: 1402008759 | ISBN-13: 978-1402008757 | Publication Date: October 31, 2002 | Edition: 1

This work presents new and old constructions of nearrings. Links between properties of the multiplicative of nearrings (as regularity conditions and identities) and the structure of nearrings are studied. Primality and minimality properties of ideals are collected. Some types of `simpler' nearrings are examined. Some nearrings of maps on a group are reviewed and linked with group-theoretical and geometrical questions. Audience: Researchers working in nearring theory, group theory, semigroup theory, designs, and translation planes. Some of the material will be accessible to graduate students.

#outer_postBodyPS { display: none; } #psGradient { display: none; } #psPlaceHolder { display: none; } #psExpand { display: none; } This work presents new and old constructions of nearrings. Links between properties of the multiplicative of nearrings (as regularity conditions and identities) and the structure of nearrings are studied. Primality and minimality properties of ideals are collected. Some types of `simpler' nearrings are examined. Some nearrings of maps on a group are reviewed and linked with group-theoretical and geometrical questions. Audience: Researchers working in nearring theory, group theory, semigroup theory, designs, and translation planes. Some of the material will be accessible to graduate students.

Product Details

Hardcover: 628 pages
Publisher: Springer; 1 edition (October 31, 2002)
Language: English
ISBN-10: 1402008759
ISBN-13: 978-1402008757
Product Dimensions: 9.7 x 6.6 x 1.5 inches
Shipping Weight: 2.4 pounds
Amazon Best Sellers Rank: #8,161,986 in Books (See Top 100 in Books)

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More About the Author

› Visit Amazon's Celestina Cotti Ferrero Page

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Inside This Book (learn more)

First Sentence:
Usually, we will try to use standard notations. Read the first page

Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
distributive nearring, integral nearrings, null endomorphism, centralizer nearrings, matrix nearrings, abelian nearring, nearring theory, planar nearring, left permutable, endomorphism nearrings, left nearring, multiplicative center, nearrings theory, generalized orbits, strongly regular ring, generalized translation structures, finite additive group, only nonzero idempotent, additive center, inner endomorphisms, distributive idempotent, proper right ideals, semidirect sum, subdirect product, permutation identity

Key Phrases - Capitalized Phrases (CAPs): (learn more)
Pellegrini Manara

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Citations (learn more)

This book cites 3 books:

Special Classes of Semigroups (Advances in Mathematics) (v. 1) by A. Nagy in Back Matter
Commutative Semigroups (Advances in Mathematics) by P.A. Grillet in Back Matter
Abelian Groups (Lecture Notes in Pure and Applied Mathematics) by Laszlo Fuchs in Back Matter

1 book cites this book:

Nearrings and Nearfields: Proceedings of the Conference on Nearrings and Nearfields, Hamburg, Germany July 27 - August 3, 2003 by Hubert Kiechle in Front Matter

Books on Related Topics (learn more)

Handbook of Algebra, Volume Volume 1 by Michiel Hazewinkel

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Rings, Groups, and Algebras by X. Cao

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Polynomial Completeness in Algebraic Systems by Kalle Kaarli

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Distributive Modules and Related Topics by Askar Tuganbaev

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