M-solid varieties of algebras

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...

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書誌詳細
主要な著者: Koppitz, Jörg, 1966-, Denecke, Klaus, 1933- (著者)
フォーマット: Livre numérique
言語:Anglais
出版事項: New York, NY : Springer US [20..].
Cham : Springer Nature
版:1st ed. 2006.
シリーズ:Advances in mathematics 10
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注記: Description d'après consultation du 13 avril 2011
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Edition sous un autre format:• M-solid varieties of algebras, J. Koppitz,... K. Denecke,..., New York, Springer, 2006, 1 vol. (XIII-341 p.), Advances in Mathematics, 978-0387-30804-3
その他の書誌記述
要約: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
記述事項:Description d'après consultation du 13 avril 2011
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
書誌:Bibliogr. p. 321-329. Glossaire. Index
ISBN:9780387308067
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