Alternative Loop Rings with Solvable Unit Loops - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Alternative Loop Rings with Solvable Unit Loops write by Edgar G. Goodaire. This book was released on 1999. Alternative Loop Rings with Solvable Unit Loops available in PDF, EPUB and Kindle.
Alternative Loop Rings
Alternative Loop Rings - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Alternative Loop Rings write by E.G. Goodaire. This book was released on 1996-10-24. Alternative Loop Rings available in PDF, EPUB and Kindle. For the past ten years, alternative loop rings have intrigued mathematicians from a wide cross-section of modern algebra. As a consequence, the theory of alternative loop rings has grown tremendously. One of the main developments is the complete characterization of loops which have an alternative but not associative, loop ring. Furthermore, there is a very close relationship between the algebraic structures of loop rings and of group rings over 2-groups. Another major topic of research is the study of the unit loop of the integral loop ring. Here the interaction between loop rings and group rings is of immense interest. This is the first survey of the theory of alternative loop rings and related issues. Due to the strong interaction between loop rings and certain group rings, many results on group rings have been included, some of which are published for the first time. The authors often provide a new viewpoint and novel, elementary proofs in cases where results are already known. The authors assume only that the reader is familiar with basic ring-theoretic and group-theoretic concepts. They present a work which is very much self-contained. It is thus a valuable reference to the student as well as the research mathematician. An extensive bibliography of references which are either directly relevant to the text or which offer supplementary material of interest, are also included.
Alternative Loop Rings
Alternative Loop Rings - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Alternative Loop Rings write by E.G. Goodaire. This book was released on 1996-11-07. Alternative Loop Rings available in PDF, EPUB and Kindle. For the past ten years, alternative loop rings have intrigued mathematicians from a wide cross-section of modern algebra. As a consequence, the theory of alternative loop rings has grown tremendously. One of the main developments is the complete characterization of loops which have an alternative but not associative, loop ring. Furthermore, there is a very close relationship between the algebraic structures of loop rings and of group rings over 2-groups. Another major topic of research is the study of the unit loop of the integral loop ring. Here the interaction between loop rings and group rings is of immense interest. This is the first survey of the theory of alternative loop rings and related issues. Due to the strong interaction between loop rings and certain group rings, many results on group rings have been included, some of which are published for the first time. The authors often provide a new viewpoint and novel, elementary proofs in cases where results are already known. The authors assume only that the reader is familiar with basic ring-theoretic and group-theoretic concepts. They present a work which is very much self-contained. It is thus a valuable reference to the student as well as the research mathematician. An extensive bibliography of references which are either directly relevant to the text or which offer supplementary material of interest, are also included.
Non-Associative Algebra and Its Applications
Non-Associative Algebra and Its Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-Associative Algebra and Its Applications write by Lev Sabinin. This book was released on 2006-01-13. Non-Associative Algebra and Its Applications available in PDF, EPUB and Kindle. With contributions derived from presentations at an international conference, Non-Associative Algebra and Its Applications explores a wide range of topics focusing on Lie algebras, nonassociative rings and algebras, quasigroups, loops, and related systems as well as applications of nonassociative algebra to geometry, physics, and natural sciences.
Algebras, Representations and Applications
Algebras, Representations and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebras, Representations and Applications write by V. Futorny. This book was released on 2009. Algebras, Representations and Applications available in PDF, EPUB and Kindle. This volume contains contributions from the conference on "Algebras, Representations and Applications" (Maresias, Brazil, August 26-September 1, 2007), in honor of Ivan Shestakov's 60th birthday. The collection of papers presented here is of great interest to graduate students and researchers working in the theory of Lie and Jordan algebras and superalgebras and their representations, Hopf algebras, Poisson algebras, Quantum Groups, Group Rings and other topics.
