{"title":"Alberto Facchini","description":null,"products":[{"product_id":"semilocal-categories-and-modules-with-semilocal-endomorphism-rings-book-alberto-facchini-9783030232832","title":"Semilocal Categories and Modules with Semilocal Endomorphism Rings","description":"\u003cp\u003eThis book collects and coherently presents the research that has been undertaken since the author’s previous book \u003ci\u003eModule Theory\u003c\/i\u003e (1998). In addition to some of the key results since 1995, it also discusses the development of much of the supporting material.\u003c\/p\u003e\u003cp\u003eIn the twenty years following the publication of the Camps-Dicks theorem, the work of Facchini, Herbera, Shamsuddin, Puninski, Prihoda and others has established the study of serial modules and modules with semilocal endomorphism rings as one of the promising directions for module-theoretic research.\u003c\/p\u003e\u003cp\u003eProviding readers with insights into the directions in which the research in this field is moving, as well as a better understanding of how it interacts with other research areas, the book appeals to undergraduates and graduate students as well as researchers interested in algebra.\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52121260949777,"sku":"NLS9783030232832","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783030232832.jpg?v=1785984626"},{"product_id":"semilocal-categories-and-modules-with-semilocal-endomorphism-rings-book-alberto-facchini-9783030232863","title":"Semilocal Categories and Modules with Semilocal Endomorphism Rings","description":"Monoids, Krull monoids, large monoids.- Basic Concepts on Rings and Modules.- Semilocal rings.- Additive categories.- Spectral Category and dual Construction.- Auslander-Bridger transpose, Auslander-Bridger modules.- Semilocal categories and their maximal ideals.- Modules of type 2. Uniserial modules.- Modules of nite type.- The Krull-Schmidt Theorem in the case two.- Serial modules of innite Goldie dimension.- Some open problems.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52124944728337,"sku":"NLS9783030232863","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783030232863.jpg?v=1757460686"},{"product_id":"module-theory-book-alberto-facchini-9783764359089","title":"Module Theory","description":"He asked whether what we now call the Krull-Schmidt Theorem holds for ar  tinian modules. In other words, Warfield asked whether the Krull-Schmidt Theorem holds for serial modules. For serial modules the Krull-Schmidt Theorem does not hold, but any two indecomposable decompositions are uniquely determined up to two permutations.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52336361210129,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52336362225937,"sku":"NLS9783764359089","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783764359089.jpg?v=1786873412"},{"product_id":"abelian-groups-and-modules-book-alberto-facchini-9789401041980","title":"Abelian Groups and Modules","description":"On the 26th of November 1992 the organizing committee gathered together, at Luigi Salce's invitation, for the first time. The tradition of abelian groups and modules Italian conferences (Rome 77, Udine 85, Bressanone 90) needed to be kept up by one more meeting. Since that first time it was clear to us that our goal was not so easy. In fact the main intended topics of abelian groups, modules over commutative rings and non commutative rings have become so specialized in the last years that it looked really ambitious to fit them into only one meeting. Anyway, since everyone of us shared the same mathematical roots, we did want to emphasize a common link. So we elaborated the long symposium schedule: three days of abelian groups and three days of modules over non commutative rings with a two days' bridge of commutative algebra in between. Many of the most famous names in these fields took part to the meeting. Over 140 participants, both attending and contributing the 18 Main Lectures and 64 Communications (see list on page xv) provided a really wide audience for an Algebra meeting. Now that the meeting is over, we can say that our initial feeling was right.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52410108576017,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52410109198609,"sku":"NLS9789401041980","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9789401041980.jpg?v=1785824182"},{"product_id":"abelian-groups-and-modules-book-alberto-facchini-9780792337560","title":"Abelian Groups and Modules","description":"On the 26th of November 1992 the organizing committee gathered together, at Luigi Salce's invitation, for the first time. The tradition of abelian groups and modules Italian conferences (Rome 77, Udine 85, Bressanone 90) needed to be kept up by one more meeting. Since that first time it was clear to us that our goal was not so easy. In fact the main intended topics of abelian groups, modules over commutative rings and non commutative rings have become so specialized in the last years that it looked really ambitious to fit them into only one meeting. Anyway, since everyone of us shared the same mathematical roots, we did want to emphasize a common link. So we elaborated the long symposium schedule: three days of abelian groups and three days of modules over non commutative rings with a two days' bridge of commutative algebra in between. Many of the most famous names in these fields took part to the meeting. Over 140 participants, both attending and contributing the 18 Main Lectures and 64 Communications (see list on page xv) provided a really wide audience for an Algebra meeting. 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The volume will be of interest to researchers seeking to extend or utilize work in these areas as well as graduate students wishing to find entryways into active areas of current research in algebra.  A novel aspect of the volume is an emphasis on how diverse types of algebraic structures and contexts (rings, modules, semigroups, categories) may be treated with overlapping and reinforcing approaches. \u003cbr\u003e\u003cbr\u003e","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52532241301777,"sku":"NLS9783030434182","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783030434182.jpg?v=1786791371"},{"product_id":"advances-in-rings-modules-and-factorizations-book-alberto-facchini-9783030434151","title":"Advances in Rings, Modules and Factorizations","description":"Occasioned by the international conference \"Rings and Factorizations\" held in February 2018 at University of Graz, Austria, this volume represents a wide range of research trends in the theory of commutative and non-commutative rings and their modules, including multiplicative ideal theory, Dedekind and Krull rings and their generalizations, rings of integer valued-polynomials, topological aspects of ring theory, factorization theory in rings and semigroups and direct-sum decompositions of modules. 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