Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 15 of 15 for “"commutative ring"”.
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Local coherence of hearts in the derived category of a commutative ring
… in order to study the representation theory of a ring R. Roughly speaking, it consists in determining suitable additive or abelian subcategories of the whole module category Mod-R with nice enough functorial properties. For example, torsion theory is a well suited incarnation of approximation …
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Necessary and sufficient conditions so that a commutative ring can be embedded into a strongly pi-regular ring
If R is commutative ring then R can be embedded into a strongly $\pi$-regular ring if and only if there exists a set of prime ideals Y = $\{$P$\sb\alpha\}\alpha\in\Lambda$ and for each P$\sb\alpha$, a P$\sb\alpha$-primary ideal Q$\sb\alpha$ such that: (I) Y is closed in the patch topology on Spec …
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Dimension-Theory of Sheaves of R'-Modules (R' Is the Structure Sheaf of a Commutative Ring R With 1)
Made available in DSpace on 2014-12-11T18:24:07Z (GMT). No. of bitstreams: 1 7412083.pdf: 2247917 bytes, checksum: e427d09a55ec17bc8b14a4f054481d67 (MD5) Previous issue date: 1973
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Zorn vector matrices over commutative rings and the loops arising from their construction
… finite fields can, in fact, be done over any commutative ring with the proper adjustments. The resulting loops are still Moufang, but no longer simple in general. Given a commutative ring and an ideal of that ring, the loop constructed over that ring can be decomposed into two pieces. In this …
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Existence of Coefficient Fields in Quasi-Local Rings
… results concerning coefficient fields in local rings have been discovered. The concept of a local ring was first introduced by Krull, who defined a local ring as a commutative ring R in which every ideal has a finite basis and in which the set M of all non-units is an ideal, necessarily maximal, …
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The annihilation graphs of commutator posets and lattices
… vertices of graphs are not elements/ideals of a commutative ring, but elements of an abstract ordered set (imitating the lattice of ideals), equipped with a binary operation (imitating products of ideals). The intermediate level of congruences of any algebraic structure admitting a "good" theory …
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Day convolution and the Hodge filtration on THH
… the topological Hochschild homolgy spectrum of a commutative ring spectrum and describe its elementary properties.
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Universal Localization and Group Cohomology
… in this work. First, we prove that for a commutative ring embedded in a larger ring, which is not necessarily commutative, its division and rational closures coincide. Second, for an infinite discrete group G, we investigate group cohomology and homology with coefficients in lp(G). We …
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Zero Divisor Graphs and Poset Decomposition
<p>A graph is associated to any commutative ring R where the vertices are the non-zero zero divisors of R with two vertices adjacent if x · y = 0. The zero-divisor graph has also been studied for various algebraic stuctures such as semigroups and partially ordered sets. In this paper, we will …
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Steinberg algebra and Leavitt path algebras
… algebras are a new and exciting subject in noncommutative ring theory. To each directed graph E, and unital commutative ring R, is associated an R-algebra called the Leavitt path algebra of E with coefficients in R. It was discovered, when the theory of Leavitt path algebras was already quite …
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Morita cohomology
… locally contractible topological space X. Fix a commutative ring k of characteristic 0 and also denote by k the differential graded category with a single object and endomorphisms k. In the Morita model structure k is weakly equivalent to the category of perfect chain complexes over k. We define …
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The Smarandache vertices of the annihilation graphs of commutator posets and lattices with respect to an element and an ideal
… of the graphs are not elements/ideals of a commutative ring, but elements of an abstract ordered set [lattice] (imitating the lattice of ideals of a ring), equipped with a commutative (not necessarily associative) binary operation (imitating the product of ideals of a ring). We discuss when …
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Standard Closure Operations on Several Rings of Dimension One
… the set of finite-type semistar operations of a ring and the finite-type standard closures of a ring. I will classify the set of finite-type standard closures on several rings of dimension one.
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Resolutions mod I, Golod pairs
Let <i>R</i> be a commutative ring, <i>I</i> be an ideal in <i>R</i> and let <i>M</i> be a <i>R/ I</i> -module. In this thesis we construct a <i>R/ I</i> -projective resolution of <i>M</i> using given <i>R</i>-projective resolutions of <i>M</i> and <i>I</i>. As immediate consequences of our …
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Gradings of Lie Algebras
… equivalent gradings. We spend some time preparing and presenting an example of this process. The chapter ends with some results relating to the automorphisms of a grading. We present the construction of the exceptional Lie algebra g_2 in the fifth chapter. This chapter uses some definitions …