Items related to Regularity and Substructures of Hom (Frontiers in Mathematic...
Synopsis
Regular rings were originally introduced by John von Neumann to clarify aspects of operator algebras ([33], [34], [9]). A continuous geometry is an indecomposable, continuous, complemented modular lattice that is not ?nite-dimensional ([8, page 155], [32, page V]). Von Neumann proved ([32, Theorem 14. 1, page 208], [8, page 162]): Every continuous geometry is isomorphic to the lattice of right ideals of some regular ring. The book of K. R. Goodearl ([14]) gives an extensive account of various types of regular rings and there exist several papers studying modules over regular rings ([27], [31], [15]). In abelian group theory the interest lay in determining those groups whose endomorphism rings were regular or had related properties ([11, Section 112], [29], [30], [12], [13], [24]). An interesting feature was introduced by Brown and McCoy ([4]) who showed that every ring contains a unique largest ideal, all of whose elements are regular elements of the ring. In all these studies it was clear that regularity was intimately related to direct sum decompositions. Ware and Zelmanowitz ([35], [37]) de?ned regularity in modules and studied the structure of regular modules. Nicholson ([26]) generalized the notion and theory of regular modules. In this purely algebraic monograph we study a generalization of regularity to the homomorphism group of two modules which was introduced by the ?rst author ([19]). Little background is needed and the text is accessible to students with an exposure to standard modern algebra. In the following, Risaringwith1,and A, M are right unital R-modules.
"synopsis" may belong to another edition of this title.
Review
From the reviews:
“This book is dedicated to generalizations of regularity for an Abelian group ... . contains an excellent and detailed exposition of results on all types of regularity in Hom with consequences for modules and rings. It is accessible, with all necessary definitions and proofs, contains also a series of instructive examples. ... interest both for students and specialists.” (A. I. Kashu, Zentralblatt MATH, Vol. 1169, 2009)"About this title" may belong to another edition of this title.
Search results for Regularity and Substructures of Hom (Frontiers in Mathematic...
Stock Image
Regularity and Substructures of Hom (Frontiers in Mathematics)
Seller: Zubal-Books, Since 1961, Cleveland, OH, U.S.A.
Seller rating 5 out of 5 stars
Condition: Fine. *Price HAS BEEN temporarily REDUCED by 10% until Monday, Sept. 15 (sale item)* 179 pp., Paperback, fine. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Seller Inventory # ZB1281036
Quantity: 1 available
Stock Image
Regularity and Substructures of Hom.
Seller: Universitätsbuchhandlung Herta Hold GmbH, Berlin, Germany
Seller rating 5 out of 5 stars
XV, 164 p. Softcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Stamped. Frontiers in Mathematics Sprache: Englisch. Seller Inventory # 6126DB
Quantity: 1 available
Seller Image
Regularity and Substructures of Hom
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 5991943-n
Quantity: Over 20 available
Stock Image
Regularity and Substructures of Hom (Frontiers in Mathematics)
Seller: Best Price, Torrance, CA, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. SUPER FAST SHIPPING. Seller Inventory # 9783764399894
Quantity: 2 available
Stock Image
Regularity and Substructures of Hom (Frontiers in Mathematics)
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # ABLIING23Apr0316110059390
Quantity: Over 20 available
Stock Image
Regularity and Substructures of Hom (Frontiers in Mathematics)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9783764399894_new
Quantity: Over 20 available
Seller Image
Regularity and Substructures of Hom
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 5991943-n
Quantity: Over 20 available
Seller Image
Regularity and Substructures of Hom
Published by
Birkhäuser Basel Jan 2009, 2009
ISBN 10: 3764399899
ISBN 13: 9783764399894
New
Taschenbuch
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Regular rings were originally introduced by John von Neumann to clarify aspects of operator algebras ([33], [34], [9]). A continuous geometry is an indecomposable, continuous, complemented modular lattice that is not nite-dimensional ([8, page 155], [32, page V]). Von Neumann proved ([32, Theorem 14. 1, page 208], [8, page 162]): Every continuous geometry is isomorphic to the lattice of right ideals of some regular ring. The book of K. R. Goodearl ([14]) gives an extensive account of various types of regular rings and there exist several papers studying modules over regular rings ([27], [31], [15]). In abelian group theory the interest lay in determining those groups whose endomorphism rings were regular or had related properties ([11, Section 112], [29], [30], [12], [13], [24]). An interesting feature was introduced by Brown and McCoy ([4]) who showed that every ring contains a unique largest ideal, all of whose elements are regular elements of the ring. In all these studies it was clear that regularity was intimately related to direct sum decompositions. Ware and Zelmanowitz ([35], [37]) de ned regularity in modules and studied the structure of regular modules. Nicholson ([26]) generalized the notion and theory of regular modules. In this purely algebraic monograph we study a generalization of regularity to the homomorphism group of two modules which was introduced by the rst author ([19]). Little background is needed and the text is accessible to students with an exposure to standard modern algebra. In the following, Risaringwith1,and A, M are right unital R-modules. 184 pp. Englisch. Seller Inventory # 9783764399894
Quantity: 2 available
International Edition
REGULARITY AND SUBSTRUCTURES OF HOM
International EditionSeller: UK BOOKS STORE, London, LONDO, United Kingdom
Seller rating 5 out of 5 stars
Condition: Brand New. Brand New! Fast Delivery This is an International Edition and ship within 24-48 hours. Deliver by FedEx and Dhl, & Aramex, UPS, & USPS and we do accept APO and PO BOX Addresses. Order can be delivered worldwide within 7-11 days and we do have flat rate for up to 2LB. Extra shipping charges will be requested if the Book weight is more than 5 LB. This Item May be shipped from India, United states & United Kingdom. Depending on your location and availability. Seller Inventory # CBS 9783764399894
Quantity: 1 available
Seller Image
Regularity and Substructures of Hom
Print on DemandSeller: moluna, Greven, Germany
Seller rating 5 out of 5 stars
Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Readable text with new concepts opening new avenues for researchOld and numerous new results in self-contained formResults never published in book formExtension of the well-known and important concept of regularityReadable. Seller Inventory # 5280053
Quantity: Over 20 available