Author: H. J. ShyrPublisher:
ISBN:
Category :
Languages : en
Pages : 6
Book Description
Lattice-ordered Rings Satisfying Identities
Author: H. J. ShyrLattice-ordered Rings and Modules
Author: Stuart A. SteinbergPublisher: Springer Science & Business Media
ISBN: 1441917217
Category : Mathematics
Languages : en
Pages : 639
Book Description
This book provides an exposition of the algebraic aspects of the theory of lattice-ordered rings and lattice-ordered modules. All of the background material on rings, modules, and lattice-ordered groups necessary to make the work self-contained and accessible to a variety of readers is included. Filling a gap in the literature, Lattice-Ordered Rings and Modules may be used as a textbook or for self-study by graduate students and researchers studying lattice-ordered rings and lattice-ordered modules. Steinberg presents the material through 800+ extensive examples of varying levels of difficulty along with numerous exercises at the end of each section. Key topics include: lattice-ordered groups, rings, and fields; archimedean $l$-groups; f-rings and larger varieties of $l$-rings; the category of f-modules; various commutativity results.
Lecture Notes On Algebraic Structure Of Lattice-ordered Rings
Author: Jingjing MaPublisher: World Scientific
ISBN: 981457144X
Category : Mathematics
Languages : en
Pages : 258
Book Description
Algebraic Structure of Lattice-Ordered Rings presents an introduction to the theory of lattice-ordered rings and some new developments in this area in the last 10-15 years. It aims to provide the reader with a good foundation in the subject, as well as some new research ideas and topic in the field.This book may be used as a textbook for graduate and advanced undergraduate students who have completed an abstract algebra course including general topics on group, ring, module, and field. It is also suitable for readers with some background in abstract algebra and are interested in lattice-ordered rings to use as a self-study book.The book is largely self-contained, except in a few places, and contains about 200 exercises to assist the reader to better understand the text and practice some ideas.
Nearrings, Nearfields And Related Topics
Author: Kuncham Syam PrasadPublisher: World Scientific
ISBN: 981320737X
Category : Mathematics
Languages : en
Pages : 324
Book Description
Recent developments in various algebraic structures and the applications of those in different areas play an important role in Science and Technology. One of the best tools to study the non-linear algebraic systems is the theory of Near-rings.The forward note by G
Canadian Journal of Mathematics
Author: Algebras, Rings and Modules
Author: Michiel HazewinkelPublisher: CRC Press
ISBN: 1482245051
Category : Mathematics
Languages : en
Pages : 384
Book Description
The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non-commutative algebra, is poised for major advances in the twenty-first century (together with and in interaction with combinatorics), just as topology, analysis, and probability experienced in the twentieth centu
Technical Report
Author: Indian Institute of Technology Kānpur. Dept. of MathematicsPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 678
Book Description
Partially Ordered Algebraic Systems
Author: Laszlo FuchsPublisher: Courier Corporation
ISBN: 0486173607
Category : Mathematics
Languages : en
Pages : 242
Book Description
This monograph by a distinguished mathematician constitutes the first systematic summary of research concerning partially ordered groups, semigroups, rings, and fields. The high-level, self-contained treatment features numerous problems. 1963 edition.
Atas da Escola de Álgebra
Author: Ordered Algebraic Structures
Author: W.C. HollandPublisher: Springer Science & Business Media
ISBN: 9401156409
Category : Mathematics
Languages : en
Pages : 334
Book Description
The conference on Ordered Algebraic Structures held in Curat;ao, from the 26th of June through the 30th of June, 1995, at the Avila Beach Hotel, marked the eighth year of ac tivities by the Caribbean Mathematics Foundation (abbr. CMF), which was the principal sponsor of this conference. CMF was inaugurated in 1988 with a conference on Ordered Algebraic Structures. During the years between these two conferences the field has changed sufficiently, both from my point of view and, I believe, that of my co-organizer, W. Charles Holland, to make one wonder about the label "Ordered Algebraic Structures" itself. We recognized this from the start, and right away this conference carried a subtitle, or, if one prefers, an agenda: we concentrated on the one hand, on traditional themes in the theory of ordered groups, including model-theoretic aspects, and, on the other hand, on matters in which topology (more precisely C(X)-style topology) and category theory would play a prominent role. Plainly, ordered algebra has many faces, and it is becoming increas ingly difficult to organize an intimate conference, such as the ones encouraged in the series sponsored by CMF, in this area on a broad set of themes. These proceedings reflect, accurately we think, the spirit of the conferees, but it is not a faithful record of the papers presented at the conference.