Convexity Conditions On A Class Of Lattice Ordered Rings
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Author | : Stuart A. Steinberg |
Publisher | : Springer Science & Business Media |
Total Pages | : 639 |
Release | : 2009-11-19 |
Genre | : Mathematics |
ISBN | : 1441917217 |
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.
Author | : Leonard Gillman |
Publisher | : Courier Dover Publications |
Total Pages | : 321 |
Release | : 2018-01-16 |
Genre | : Mathematics |
ISBN | : 0486816885 |
Designed as a text as well as a treatise, the first systematic account of the theory of rings of continuous functions remains the basic graduate-level book in this area. 1960 edition.
Author | : W.C. Holland |
Publisher | : Springer Science & Business Media |
Total Pages | : 334 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9401156409 |
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.
Author | : |
Publisher | : |
Total Pages | : 224 |
Release | : 1973-06 |
Genre | : |
ISBN | : |
Author | : |
Publisher | : |
Total Pages | : 778 |
Release | : 1995 |
Genre | : Dissertations, Academic |
ISBN | : |
Author | : Stephen D. Comer |
Publisher | : Springer |
Total Pages | : 290 |
Release | : 2006-12-08 |
Genre | : Mathematics |
ISBN | : 3540396381 |
Author | : Karim Boulabiar |
Publisher | : Springer Science & Business Media |
Total Pages | : 282 |
Release | : 2007-12-16 |
Genre | : Mathematics |
ISBN | : 3764384786 |
This book presents nine survey articles addressing topics surrounding positivity, with an emphasis on functional analysis. The book assembles a wide spectrum of research into positivity, providing up-to-date information on topics of current interest. The discussion provides insight into classical areas like spaces of continuous functions, f-algebras, and integral operators. The coverage extends is broad, including vector measures, operator spaces, ordered tensor products, and non-commutative Banach function spaces.
Author | : |
Publisher | : |
Total Pages | : 1016 |
Release | : 1989 |
Genre | : Dissertations, Academic |
ISBN | : |
Author | : |
Publisher | : American Mathematical Soc. |
Total Pages | : 262 |
Release | : |
Genre | : Mathematics |
ISBN | : 9780821895887 |
This indispensable reference source contains a wealth of information on lattice theory. The book presents a survey of virtually everything published in the fields of partially ordered sets, semilattices, lattices, and Boolean algebras that was reviewed in Referativnyi Zhurnal Matematika from mid-1982 to the end of 1985. A continuation of a previous volume (the English translation of which was published by the AMS in 1989, as volume 141 in Translations - Series 2), this comprehensive work contains more than 2200 references. Many of the papers covered here were originally published in virtually inaccessible places. The compilation of the volume was directed by Milan Kolibiar of Comenius University at Bratislava and Lev A. Skornyakov of Moscow University. Of interest to mathematicians, as well as to philosophers and computer scientists in certain areas, this unique compendium is a must for any mathematical library.
Author | : Lance W. Small |
Publisher | : |
Total Pages | : 712 |
Release | : 1986 |
Genre | : Mathematics |
ISBN | : |