Pullbacks of Prüfer rings
نویسندگان
چکیده
منابع مشابه
Curves and coherent Prüfer rings
Usual definitions of Dedekind domain are not well suited for an algorithmic treatment. Indeed, the notion of Noetherian rings is subtle from a constructive point of view, and to be able to get prime ideals involve strong hypotheses. For instance, if k is a field, even given explicitely, there is in general no method to factorize polynomials in k[X]. The work [2] analyses the notion of Dedekind ...
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Since Seidenberg’s (1953-54) papers [35, 36] and Jaffard’s (1960) pamphlet [28] on the dimension theory of commutative rings, the literature abounds in works exploring the prime ideal structure of polynomial rings, including four pioneering articles by Arnold and Gilmer on dimension sequences [3, 4, 5, 6]. Of particular interest is Bastida-Gilmer’s (1973) precursory article [8] which establishe...
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The main purpose of this article is to introduce the categorical concept of pullback in Mizar. In the first part of this article we redefine homsets, monomorphisms, epimorpshisms and isomorphisms [6] within a free-object category [15] and it is shown there that ordinal numbers can be considered as categories. Then the pullback is introduced in terms of its universal property, and the Pullback L...
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We describe a new Prüfer code based on star-reductions which works for infinite acyclic hypertrees.
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Graph rewriting has numerous applications, such as software engineering and biology techniques. This technique is theoretically based on pushouts and pullbacks, which are involved with given categories. This paper deals with the definition of pushout and pullback, and their properties.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2008
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2008.06.005