{"product_id":"9789814425322","title":"Polygroup Theory And Related Systems","description":"\u003cp\u003eThis monograph is devoted to the study of Polygroup Theory. It begins with some basic results concerning group theory and algebraic hyperstructures, which represent the most general algebraic context, in which reality can be modeled. Most results on polygroups are collected in this book. Moreover, this monograph is the first book on this theory. The volume is highly recommended to theoreticians in pure and applied mathematics.\u003c\/p\u003e\u003cb\u003eContents:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eA Brief Excursion into Group Theory:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eIntroduction\u003c\/li\u003e\n\u003cli\u003eThe Abstract Definition of a Group and Some Examples\u003c\/li\u003e\n\u003cli\u003eSubgroups\u003c\/li\u003e\n\u003cli\u003eNormal Subgroups and Quotient Groups\u003c\/li\u003e\n\u003cli\u003eGroup Homomorphisms\u003c\/li\u003e\n\u003cli\u003ePermutation Groups\u003c\/li\u003e\n\u003cli\u003eDirect Product\u003c\/li\u003e\n\u003cli\u003eSolvable and Nilpotent Groups\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eHypergroups:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eIntroduction and Historical Development of Hypergroups\u003c\/li\u003e\n\u003cli\u003eDefinitions and Examples of Hypergroups\u003c\/li\u003e\n\u003cli\u003eSome Kinds of Subhypergroups\u003c\/li\u003e\n\u003cli\u003eHomomorphisms of Hypergroups\u003c\/li\u003e\n\u003cli\u003eRegular and Strongly Regular Relations\u003c\/li\u003e\n\u003cli\u003eComplete Hypergroups\u003c\/li\u003e\n\u003cli\u003eJoin Spaces\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003ePolygroups:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eDefinition and Examples of Polygroups\u003c\/li\u003e\n\u003cli\u003eExtension of Polygroups by Polygroups\u003c\/li\u003e\n\u003cli\u003eSubpolygroups and Quotient Polygroups\u003c\/li\u003e\n\u003cli\u003eIsomorphism Theorems of Polygroups\u003c\/li\u003e\n\u003cli\u003eγ\u003csub\u003e*\u003c\/sub\u003e Relation on Polygroups\u003c\/li\u003e\n\u003cli\u003eGeneralized Permutations\u003c\/li\u003e\n\u003cli\u003ePermutation Polygroups\u003c\/li\u003e\n\u003cli\u003eRepresentation of Polygroups\u003c\/li\u003e\n\u003cli\u003ePolygroup Hyperrings\u003c\/li\u003e\n\u003cli\u003eSolvable Polygroups\u003c\/li\u003e\n\u003cli\u003eNilpotent Polygroups\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eWeak Polygroups:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eWeak Hyperstructures\u003c\/li\u003e\n\u003cli\u003eWeak Polygroups as a Generalization of Polygroups\u003c\/li\u003e\n\u003cli\u003eFundamental Relations on Weak Polygroups\u003c\/li\u003e\n\u003cli\u003eSmall Weak Polygroups\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eCombinatorial Aspects of Polygroups:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eChromatic Polygroups\u003c\/li\u003e\n\u003cli\u003ePolygroups Derived from Cogroups\u003c\/li\u003e\n\u003cli\u003eConjugation Lattice\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cb\u003eReadership:\u003c\/b\u003e Graduate students and researchers in algebraic hyperstructures and applications.\u003cbr\u003e","brand":"World Scientific Publishing Company, Incorporated","offers":[{"title":"Default Title","offer_id":47139805298928,"sku":"9789814425322","price":31.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9789814425322_p0.jpg?v=1763690986","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9789814425322","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}