Affine Representations Of Grothendieck Groups And Applications To Rickart C Algebras And 0 Continous Regular Rings

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Affine Representations Of Grothendieck Groups And Applications To Rickart C Ast Algebras And Aleph 0 Continuous Regular Rings
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Author : K. R. Goodearl
language : en
Publisher: American Mathematical Soc.
Release Date : 1980
Affine Representations Of Grothendieck Groups And Applications To Rickart C Ast Algebras And Aleph 0 Continuous Regular Rings written by K. R. Goodearl and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.
This paper is concerned with the structure of three interrelated classes of objects: partially ordered abelian groups with countable interpolation, [Hebrew]Aleph0-continuous regular rings, and finite Rickart C*-algebras. The connection from these rings and algebras to these groups is the Grothendieck group K0, which, for all [Hebrew]Aleph0-continuous regular rings and most finite Rickart C*-algebras, is a partially ordered abelian group with countable interpolation. Such partially ordered groups are shown to possess quite specific representations in spaces of affine continuous functions on Choquet simplices. The theme of this paper is to develop the structure theory of these groups and these representations, and to translate the results, via K0, into properties of [Hebrew]Aleph0-continuous regular rings and finite Rickart C*-algebras.
Continuous And Discrete Modules
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Author : Saad H. Mohamed
language : en
Publisher: Cambridge University Press
Release Date : 1990-02-22
Continuous And Discrete Modules written by Saad H. Mohamed and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-02-22 with Mathematics categories.
Continuous and discrete modules are, essentially, generalizations of infective and projective modules respectively. Continuous modules provide an appropriate setting for decomposition theory of von Neumann algebras and have important applications to C*-algebras. Discrete modules constitute a dual concept and are related to number theory and algebraic geometry: they possess perfect decomposition properties. The advantage of both types of module is that the Krull-Schmidt theorem can be applied, in part, to them. The authors present here a complete account of the subject and at the same time give a unified picture of the theory. The treatment is essentially self-contained, with background facts being summarized in the first chapter. This book will be useful therefore either to individuals beginning research, or the more experienced worker in algebra and representation theory.
Abelian Groups Rings And Modules
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Author : Andrei V. Kelarev
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Abelian Groups Rings And Modules written by Andrei V. Kelarev and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
This volume presents the proceedings from the conference on Abelian Groups, Rings, and Modules (AGRAM) held at the University of Western Australia (Perth). Included are articles based on talks given at the conference, as well as a few specially invited papers. The proceedings were dedicated to Professor László Fuchs. The book includes a tribute and a review of his work by his long-time collaborator, Professor Luigi Salce. Four surveys from leading experts follow Professor Salce's article. They present recent results from active research areas
Abelian Groups And Modules
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Author : Alberto Facchini
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Abelian Groups And Modules written by Alberto Facchini and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Algebra And Its Applications
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Author : H. L. Manocha
language : en
Publisher: CRC Press
Release Date : 1984-05-31
Algebra And Its Applications written by H. L. Manocha and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-05-31 with Mathematics categories.
This volume unites more than fifty international mathematicians, spotlighting research that demonstrates the importance of algebra in science and engineering. Areas in algebra such as invariant theory, group representations, commutative algebra, and algebraic geometry are important factors in such subjects as quantum physics, computing, and data communications. The International Symposium on Algebra and Its Applications was organized by the Department of Mathematics of the Indian Institute of Technology, and held in New Delhi, India, December 21-25, 1981. This volume contains papers presented, and the editors wish to express their appreciation to all the authors for their submissions, and symposium participants for their enthusiasm.
Canadian Mathematical Bulletin
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Author :
language : en
Publisher:
Release Date : 1982-09
Canadian Mathematical Bulletin written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-09 with categories.
Iumj
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Author : Indiana University. Department of Mathematics
language : en
Publisher:
Release Date : 1980
Iumj written by Indiana University. Department of Mathematics and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Electronic journals categories.
Bulletin Of The American Mathematical Society
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Author :
language : en
Publisher:
Release Date : 1981
Bulletin Of The American Mathematical Society written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.
Bulletin New Series Of The American Mathematical Society
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Author :
language : en
Publisher:
Release Date : 1981
Bulletin New Series Of The American Mathematical Society written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Electronic journals categories.
Notices Of The American Mathematical Society
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Author : American Mathematical Society
language : en
Publisher:
Release Date : 1980
Notices Of The American Mathematical Society written by American Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Electronic journals categories.