Results 41 to 50 of about 147 (142)
THE STRONG AMALGAMATION PROPERTY AND (EFFECTIVE) CODESCENT MORPHISMS
, 2008 . Codescent morphisms are described in regular categories which satisfy the so-called strong amalgamation property. Among varieties of universal algebras possessing this property are, as is known, categories of groups, not necessarily associative rings ...
Dali Zangurashvili
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On properties related to going-up for commutative rings
, 2003 This work develops concepts related to the going-up property in commutative ring theory. In Chapter 1, we collect some facts in commutative ring theory essential for understanding this work.
Hetzel, Andrew J.
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Groupes réticulés engendrés par un groupe ordonné et systèmes réguliers d'idéaux
, 2019 International audienceUnbounded entailment relations, introduced by Paul Lorenzen (1951), are a slight variant of a notion which plays a fundamental rôle in logic (see Scott 1974) and in algebra (see Lombardi and Quitté 2015). We call “systems of ideals”
Neuwirth, Stefan +5 more
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, 2003 The volume develops the foundations of differential geometry so as to include finite-dimensional spaces with singularities and nilpotent functions, at the same level as is standard in the elementary theory of schemes and analytic spaces.
Juan A. Navarro González +3 more
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THE STRONG AMALGAMATION PROPERTY AND (EFFECTIVE) CODESCENT MORPHISMS
, 2003 Codescent morphisms are described in regular categories which satisfy the so-called strong amalgamation property. Among varieties of universal algebras possessing this property are, as is known, categories of groups, not necessarily associative rings, M ...
DALI ZANGURASHVILI
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Injectivity and Gorenstein-injectivity under faithfully flat ring extensions
, 2021 A main object of study in algebraic geometry is a quotient of a polynomial ring. Faithfully flat extensions of such rings also have applications in algebraic geometry and play an important role in commutative algebra.
Koksal, Fatih
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Localization and Flatness in Quantale Theory
The study of flat ring morphisms is an important theme in commutative algebra. The purpose of this article is to develop an abstract theory of flatness in the framework of coherent quantales.
George Georgescu
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Weak forms of the Krull-Schmidt theorem and Prüfer rings in distinguished constructions [PDF]
, 2019 This thesis is divided in two chapters. The first one concerns direct-sum decompositions in additive categories. It is well known that if a module admits a direct-sum decomposition into indecomposable modules with local endomorphism rings, then this ...
Campanini, Federico
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The reflectiveness of covering morphisms in algebra and geometry
, 1997 Each full reflective subcategory X of a finitely-complete category C gives rise to a factorization system (E, M) on C, where E consists of the morphisms of C inverted by the reflexion I: C → X.
G. Janelidze, G. M. Kelly
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Descent theory and Amitsur cohomology of triples
, 2003 For a given triple (monad) U:C→C in the category C, we develop a theory of descent for U. We start by introducing the basic constructions associated to a triple: descent data, symmetry operators, and flat connections.
STEFAN D. +2 more
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