Abstract algebra /
edited by Alexandra Germer.
- v, 217 pages ; 24 cm.
Includes bibliographical references and index.
On finite quasi-core-p p-groups -- Computer-aided analysis of solvable rigid lie algebras with a given eigenvalue spectrum -- On the theory of left/right almost groups and hypergroups with their relevant enumerations -- Sequences of groups, hypergroups and automata of linear ordinary differential operators -- Regular parameter elements and regular local hyperrings -- Characteristics, C-Characteristics and positive cones in hyperfields -- Three authentication schemes without secrecy over finite fields and galois rings -- Ternary menger algebras: a generalization of ternary semigroups -- Magnifiers in some generalization of the full transformation semigroups -- Left (right) regular elements of some transformation semigroups -- Parity properties of configurations.
"This book covers a wide range of topics in abstract algebra. It explores the properties and characteristics of finite quasi-core-pp-groups, shedding light on their unique structures. Additionally, the book explores into the computer-aided analysis of solvable rigid Lie algebras with a given eigen value spectrum, offering insights into their solvability and rigidity. The book concludes with a chapter on the left (right) regular elements of some transformation semigroups, providing a deeper understanding of their properties and applications. Finally, the book explores the parity properties of configurations, offering insights into the characteristics and symmetries of these mathematical arrangements. This book is intended for readers with a background in mathematics, particularly those interested in abstract algebra and its applications. It caters to undergraduate and graduate students studying mathematics, as well as researchers and professionals working infields where abstract algebra is applied, such as cryptography, coding theory, and theoretical computer science. The book assumes a basic understanding of algebraic structures and mathematical proofs, making it suitable for advanced study and research in abstract algebra." -- Back cover