Description
Book SynopsisThis volume is an outcome of the International Conference on Algebra in celebration of the 70th birthday of Professor Shum Kar-Ping which was held in Gadjah Mada University on 7-10 October 2010. As a consequence of the wide coverage of his research interest and work, it presents 54 research papers, all original and referred, describing the latest research and development, and addressing a variety of issues and methods in semigroups, groups, rings and modules, lattices and Hopf Algebra. The book also provides five well-written expository survey articles which feature the structure of finite groups by A Ballester-Bolinches, R Esteban-Romero, and Yangming Li; new results of Gröbner-Shirshov basis by L A Bokut, Yuqun Chen, and K P Shum; polygroups and their properties by B Davvaz; main results on abstract characterizations of algebras of n-place functions obtained in the last 40 years by Wieslaw A Dudek and Valentin S Trokhimenko; Inverse semigroups and their generalizations by X M Ren and K P Shum. Recent work on cones of metrics and combinatorics done by M M Deza et al. is included.
Table of ContentsInterval-Valued Graphs; Injective Envelope; Structure of Finite Groups; Semilattices; Archimedean Semigroups; Grobner-Shirshov Basis; Stable Lie Algebras; Polygroups and Their Properties; Semigroups of N-Ary Operations on Finite Sets; Cones of Weighted and Partial Matrices; Menger Algebras of N-Place Functions; Bialgebras; Malcev Algebra; Ternary Semiring; Chen Lie Algebras and Resonance Varieties; Restriction and Ehresmann Semigroups; Partially Solvable Finite Groups; Ordered Semigroups; Derivatives of Algebras and Superalgebras; Representations of Dialgebras and Conformal Algebras; Frobenius-Schur Indicators; Zariski Topology on the Prime Spectrum of a Module; Almost Distributive Lattices; S-Relatively Normal Almost Distributive Lattices; Pseudo-Complemented Almost Distributive Lattices; Inverse Semigroups; Sheaves Over Boolean Spaces; Semirings; Cotorsion Pairs of Complexes; Non-Permutative and Non-Idempotent Semigroups.
