Advances in Mathematics

M-Solid Varieties of Algebras

Authors: Koppitz, Jörg, Denecke, Klaus

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eBook $139.00
price for USA (gross)
  • ISBN 978-0-387-30806-7
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  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-0-387-30804-3
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  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
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  • ISBN 978-1-4899-9662-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

M-Solid Varieties of Algebras provides a complete and systematic introduction to the fundamentals of the hyperequational theory of universal algebra, offering the newest results on M-solid varieties of semirings and semigroups. The book aims to develop the theory of M-solid varieties as a system of mathematical discourse that is applicable in several concrete situations. It applies the general theory to two classes of algebraic structures, semigroups and semirings. Both these varieties and their subvarieties play an important role in computer science.

A unique feature of this book is the use of Galois connections to integrate different topics. Galois connections form the abstract framework not only for classical and modern Galois theory, involving groups, fields and rings, but also for many other algebraic, topological, ordertheoretical, categorical and logical theories. This concept is used throughout the whole book, along with the related topics of closure operators, complete lattices, Galois closed subrelations and conjugate pairs of completely additive closure operators.

Audience

This book is intended for researchers in the fields of universal algebra, semigroups, and semirings; researchers in theoretical computer science; and students and lecturers in these fields.

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-0-387-30806-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-0-387-30804-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-1-4899-9662-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
M-Solid Varieties of Algebras
Authors
Series Title
Advances in Mathematics
Series Volume
10
Copyright
2006
Publisher
Springer US
Copyright Holder
Springer-Verlag US
eBook ISBN
978-0-387-30806-7
DOI
10.1007/0-387-30806-7
Hardcover ISBN
978-0-387-30804-3
Softcover ISBN
978-1-4899-9662-6
Edition Number
1
Number of Pages
XIV, 342
Topics