Semigroups: International Conference in Semigroups and its Related Topics, Yunnan University, Kunming, China, 1995
The first International Conference on Semigroups & its Related Topics, held in Kunming, China, 1995, celebrated the establishment of the Institute of Pure Mathematics at Yunnan University, Kunming. The event attracted mathematicians from around the world, who contributed talks & papers on the new developments of semigroups & its applications. These included topics on algebraic semigroups, combinatorial semigroups, computer languages, codings, & universal algebras. Since the conference, the papers have been re-edited, & in some cases revised, & are now amassed into this review volume, making it a lasting reference book on the development of semigroup theory. Some survey articles written by experts in the field, & which were not presented at the conference, are also included in this book. Contents: Archetypal contributions include: Semiretracts & their syntactic monoids (James A. Anderson).- Order evaluation & covering number (Z. Arad & M. Muzychuk).- Radical semigroups (Rekha Bai & R. H. Oehmke).- Equivalence problem for semigroups & Petri nets (Z. Bouziane & A. Finkel).- On dilated variable convolutions & its semi-groups (Hsin Chu).- Graphical strong representations of monoids (Suohai Fan).- Semigroup amalgams: algorithmic questions & structure (John Meakin).- Commutator laws in algebraic systems (B. H. Neumann).- The Fibonacci groups - four years later (Daniela B. Nikolova).- Congruence-pairs on left Clifford semigroups (P. Y. Zhu, Y. Q Guo & K. P. Shum).- & other papers.
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James A Anderson
Z Arad and M Muzychuk
Rekha Bai and R H Oehmke
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ab)c abelian Algebra amalgamated free product Archimedean semigroups Bogdanovic called Ciric completely right contains Corollary defined Definition denote element embedding equivalence class equivalence relation exists FC-injective finite group following conditions following theorem free monoid FSF-injective G C+ graph Hence idempotent identity implies inductive groupoids integer inverse semigroups isomorphic language lattice left C-a left C-semigroup left zero Lemma Let G Lie type Lucasian M. S. Putcha mapping Math matrix minimal right congruence morphism O-restricted obtain ordered groupoid partial order Petri nets poset positive quasi-orders Proposition proved regular band regular orthogroup regular semigroups result retract right 5-act right chain right ideal S-act semi Semigroup Forum semilattice semilattice congruence semilattice decompositions semiretract semiring SEndX simple semigroup strong code subgroup sublattice submonoid subsemigroup subset syntactic monoid Tamura Theorem Theorem 3.1 varieties of semigroups word problem wreath product Yunnan University zero semigroups