Algebraic Foundations in Computer Science

Algebraic Foundations in Computer Science

Author: Werner Kuich

Publisher: Springer Science & Business Media

Published: 2011-10-13

Total Pages: 372

ISBN-13: 3642248969

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This collection of 15 papers honors the career of Symeon Bozapalidis. The focus is on his teaching subjects: algebra, linear algebra, mathematical logic, number theory, automata theory, tree languages and series, algebraic semantics, and fuzzy languages.


Algebraic Informatics

Algebraic Informatics

Author: Symeon Bozapalidis

Publisher: Springer

Published: 2009-08-20

Total Pages: 370

ISBN-13: 3642035647

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Annotation This book constitutes the refereed proceedings of the Third International Conference on Algebraic Informatics, CAI 2009, held in Thessaloniki, Greece, in May 2009. The 16 full papers were carefully reviewed and selected from 25 submissions. The papers cover topics such as algebraic semantics on graph and trees, formal power series, syntactic objects, algebraic picture processing, finite and infinite computations, acceptors and transducers for strings, trees, graphs arrays, etc. decision problems, algebraic characterization of logical theories, process algebra, algebraic algorithms, algebraic coding theory, algebraic aspects of cryptography.


Galois Connections and Applications

Galois Connections and Applications

Author: Klaus Denecke

Publisher: Springer Science & Business Media

Published: 2004-03-31

Total Pages: 528

ISBN-13: 9781402018978

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This book presents the main ideas of General Galois Theory as a generalization of Classical Galois Theory. It sketches the development of Galois connections through the last three centuries. Examples of Galois connections as powerful tools in Category Theory and Universal Algebra are given. Applications of Galois connections in Linguistic and Data Analysis are presented.


Rings, Groups, and Algebras

Rings, Groups, and Algebras

Author: X. H. Cao

Publisher: CRC Press

Published: 2020-12-22

Total Pages: 352

ISBN-13: 1000153347

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"Integrates and summarizes the most significant developments made by Chinese mathematicians in rings, groups, and algebras since the 1950s. Presents both survey articles and recent research results. Examines important topics in Hopf algebra, representation theory, semigroups, finite groups, homology algebra, module theory, valuation theory, and more."


Nearrings, Nearfields And Related Topics

Nearrings, Nearfields And Related Topics

Author: Kuncham Syam Prasad

Publisher: World Scientific

Published: 2016-11-28

Total Pages: 324

ISBN-13: 981320737X

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Recent developments in various algebraic structures and the applications of those in different areas play an important role in Science and Technology. One of the best tools to study the non-linear algebraic systems is the theory of Near-rings.The forward note by G


Nearrings

Nearrings

Author: G. Ferrero

Publisher: Springer Science & Business Media

Published: 2013-12-01

Total Pages: 623

ISBN-13: 1461302676

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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.


Semimodular Lattices

Semimodular Lattices

Author: Manfred Stern

Publisher: Cambridge University Press

Published: 1999-05-13

Total Pages: 386

ISBN-13: 0521461057

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A survey of semimodularity that presents theory and applications in discrete mathematics, group theory and universal algebra.