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Titlebook: Ordered Algebraic Structures; Proceedings of the C W. Charles Holland,Jorge Martinez Conference proceedings 1997 Springer Science+Business

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书目名称Ordered Algebraic Structures
副标题Proceedings of the C
编辑W. Charles Holland,Jorge Martinez
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图书封面Titlebook: Ordered Algebraic Structures; Proceedings of the C W. Charles Holland,Jorge Martinez Conference proceedings 1997 Springer Science+Business
描述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
出版日期Conference proceedings 1997
关键词Algebraic structure; Category theory; Lattice; Vector space; algebra; commutative property; model theory; u
版次1
doihttps://doi.org/10.1007/978-94-011-5640-0
isbn_ebook978-94-011-5640-0
copyrightSpringer Science+Business Media Dordrecht 1997
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Commutative Singular ,-Rings,on of . does not exceed 1; (d) every subring . of the maximum ring of quotients . which contains . is flat over .; (e) the lattice of all ideals of . is distributive. In the final section singular .-rings which are .-rings are discussed. It is shown that .(., ℤ) is an .-ring precisely when . is an extremally disconnected almost P-space.
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Quasi-Normal ,-Rings,nt is said to be . if the sum of any two different minimal prime ℓ-ideals is either a maximal ℓ-ideal or the entire .-ring. Quasi-normal .-rings were introduced in [8], where a characterization of quasi-normal .-rings is given for commutative semiprime .-rings with identity element.
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A Survey of ,-Rings and Some of their Generalizations,e of the ignorance of the author, and I am unaware of significant activity about sheaves and .-rings other than what is listed in [BKW]. Readers who have access to . on disc or on the Internet should be able to locate summaries of missing papers by searching under “.-rings”, “lattice ordered rings”, or variations on these themes.
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Conference proceedings 1997d 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,
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Continuous Ultraproducts,els for the language over a zero-dimensional space ., modulo an ultrafilter . in the Boolean algebra of all clopen subsets of .. The Main Theorem is a proper extension of the classic Fundamental Theorem of Ultraproducts.
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