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Titlebook: Ordered Algebraic Structures; Proceedings of the G Jorge Martínez Conference proceedings 2002 Springer Science+Business Media Dordrecht 200

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发表于 2025-3-21 19:56:49 | 显示全部楼层 |阅读模式
书目名称Ordered Algebraic Structures
副标题Proceedings of the G
编辑Jorge Martínez
视频video
丛书名称Developments in Mathematics
图书封面Titlebook: Ordered Algebraic Structures; Proceedings of the G Jorge Martínez Conference proceedings 2002 Springer Science+Business Media Dordrecht 200
描述From the 28th of February through the 3rd of March, 2001, the Department of Math­ ematics of the University of Florida hosted a conference on the many aspects of the field of Ordered Algebraic Structures. Officially, the title was "Conference on Lattice­ Ordered Groups and I-Rings", but its subject matter evolved beyond the limitations one might associate with such a label. This volume is officially the proceedings of that conference, although, likewise, it is more accurate to view it as a complement to that event. The conference was the fourth in wh at has turned into aseries of similar conferences, on Ordered Algebraic Structures, held in consecutive years. The first, held at the University of Florida in Spring, 1998, was a modest and informal affair. The fifth is in the final planning stages at this writing, for March 7-9, 2002, at Vanderbilt University. And although these events remain modest and reasonably informal, their scope has broadened, as they have succeeded in attracting mathematicians from other, related fields, as weIl as from more distant lands.
出版日期Conference proceedings 2002
关键词Algebraic structure; Lattice; algebra; homomorphism; topology
版次1
doihttps://doi.org/10.1007/978-1-4757-3627-4
isbn_softcover978-1-4419-5225-7
isbn_ebook978-1-4757-3627-4Series ISSN 1389-2177 Series E-ISSN 2197-795X
issn_series 1389-2177
copyrightSpringer Science+Business Media Dordrecht 2002
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Stone’s Real Gelfand Duality in Pointfree Topologyhe choice-dependent existence of maximal ideals. The main tools for this are a direct proof that the partially ordered rings involved are .-rings, the pointfree notion of rings of real-valued continuous functions, and the representation of archimedean bounded .-rings as rings of that kind.
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MV-Algebras and Abelian ,-Groups: a Fruitful Interactionincluding the timehonored theory of magnitudes — has much to offer, not only to specialists in these two fields, but also to people interested in the fan-theoretic description of toric varieties, and in the K.-theory of AF C*-algebras.
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1389-2177 n the many aspects of the field of Ordered Algebraic Structures. Officially, the title was "Conference on Lattice­ Ordered Groups and I-Rings", but its subject matter evolved beyond the limitations one might associate with such a label. This volume is officially the proceedings of that conference, a
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Conference proceedings 2002 aspects of the field of Ordered Algebraic Structures. Officially, the title was "Conference on Lattice­ Ordered Groups and I-Rings", but its subject matter evolved beyond the limitations one might associate with such a label. This volume is officially the proceedings of that conference, although, l
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A Priestley-type Method for Generating Free ,-Groupsa p. o. group in this class to be embedded in an .-group of sets in such a way that the embedding preserves meets and joins that already exist in the group. Our construction gives also an alternative and very natural way to obtain the free .-group generated by a p. o. group in this class.
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The Bornological Tensor Product of two Riesz Spaces the projective tensor product, both introduced by Fremlin. We extend the results, even in these special cases, by considering maps of bounded variation rather than positive maps. This note is without proofs, but the proof and complete bornology background of a similar result are discussed elsewhere in this volume.
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