{"product_id":"commutative-semigroups-advances-in-mathematics-classic-structure","title":"Commutative Semigroups (Advances in Mathematics) - Classic Structure","description":"\u003cp\u003eIn this review of Commutative Semigroups (Advances in Mathematics) the bottom line is clear: this is a focused, historically grounded textbook for readers who need a coherent structure theory of commutative semigroups. The book traces developments from Redei's 1956 work to modern refinements and emphasizes how commutative semigroups connect to factorization in rings and additive structures. For graduate students and researchers seeking a concentrated treatment of finitely generated and finite commutative semigroups, this volume delivers depth and clarity rather than introductory breadth.\u003c\/p\u003e\n\n\u003ch2\u003eKey Features\u003c\/h2\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eHistorical context:\u003c\/strong\u003e The book situates contemporary results against Redei's 1956 treatment, helping readers understand the development of the field.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eStructure theory focus:\u003c\/strong\u003e Presents a coherent and powerful account of the structure of finite and finitely generated commutative semigroups, useful for theoretical work.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eConnections to rings:\u003c\/strong\u003e Shows how commutative semigroups provide a natural setting for studying factorization phenomena in rings, which aids algebraists working across subfields.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eConcentrated exposition:\u003c\/strong\u003e Prioritizes depth over elementary introductions, making efficient use of space for readers who already have algebraic background.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eResearch relevance:\u003c\/strong\u003e Collects refined results that extend understanding beyond the classical finite case, making it a worthwhile reference for specialists.\u003c\/li\u003e\n\u003c\/ul\u003e\n\n\u003ch2\u003eWho It's For\u003c\/h2\u003e\n\u003cp\u003eThis book is suited to graduate students, researchers, and instructors in algebra who already know basic semigroup and ring theory and who want a concise, rigorous treatment of commutative semigroups and their structure. It works best as a reference or as the spine for a focused graduate seminar.\u003c\/p\u003e\n\u003cp\u003eReaders looking for an elementary introduction, worked computational exercises for beginners, or a broad survey of noncommutative semigroups should look elsewhere; this volume assumes some maturity in abstract algebra and emphasizes theoretical development over pedagogical hand-holding.\u003c\/p\u003e\n\n\u003ch2\u003ePros \u0026amp; Cons\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003ePros\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eConsolidates decades of progress into a single, coherent structure theory for commutative semigroups.\u003c\/li\u003e\n\u003cli\u003eHighlights the link between semigroups and factorization in rings, useful for cross-disciplinary work.\u003c\/li\u003e\n\u003cli\u003eServes as a compact reference for finite and finitely generated cases without unnecessary digression.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003cstrong\u003eCons\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eNot aimed at beginners; the exposition assumes prior knowledge of algebraic concepts and offers limited introductory material.\u003c\/li\u003e\n\u003c\/ul\u003e\n\n\u003ch2\u003eSpecifications\u003c\/h2\u003e\n\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003eTitle\u003c\/td\u003e\n\u003ctd\u003eCommutative Semigroups (Advances in Mathematics)\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eAuthor \/ Brand\u003c\/td\u003e\n\u003ctd\u003eP.A. A. Grillet\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eSubject\u003c\/td\u003e\n\u003ctd\u003eCommutative semigroups; algebraic structure theory\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eHistorical scope\u003c\/td\u003e\n\u003ctd\u003eCovers developments from 1956 through modern refinements\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePrimary focus\u003c\/td\u003e\n\u003ctd\u003eFinite and finitely generated commutative semigroups\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eUse case\u003c\/td\u003e\n\u003ctd\u003eGraduate study and research reference\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\n\n\u003ch2\u003eOur Verdict\u003c\/h2\u003e\n\u003cp\u003eCommutative Semigroups is a tightly focused, valuable reference for those studying the structure of commutative semigroups and their role in factorization theory. It is good value for graduate students and researchers who need a rigorous, historically aware account rather than an introductory textbook.\u003c\/p\u003e\n\n\u003ch2\u003eFrequently Asked Questions\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003eIs this book suitable for undergraduates?\u003c\/strong\u003e\u003cbr\u003eNot generally; it assumes prior algebra background and is aimed at graduate-level study and research.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eDoes it cover noncommutative semigroups?\u003c\/strong\u003e\u003cbr\u003eNo, the emphasis is squarely on commutative semigroups and their structure, not on noncommutative examples.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eWill it help with ring factorization studies?\u003c\/strong\u003e\u003cbr\u003eYes, the text explains how commutative semigroups provide a natural setting for factorization issues in rings and is useful for that purpose.\u003c\/p\u003e","brand":"P.A. A. 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