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ANNIHILATORS AND A + B RINGSUnknown Date (has links)
A + B rings are constructed from a ring A and nonempty set of prime ideals of A. Initially, these rings were created to provide examples of reduced rings which satisfy certain annihilator conditions. We describe precisely when A + B rings have these properties, based on the ring A and set of prime ideals of A. We continue by giving necessary and su cient conditions for A + B rings to have various other properties. We also consider annihilators in the context of frames of ideals of reduced rings. / Includes bibliography. / Dissertation (Ph.D.)--Florida Atlantic University, 2020. / FAU Electronic Theses and Dissertations Collection
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Pseudo-groupsWeitner, W. Cleo 01 1900 (has links)
This thesis examines pseudo-groups and complex groupable lattices.
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Stable Harbourne-Huneke Containment and Lower Bounds on Waldschmidt ConstantJanuary 2021 (has links)
archives@tulane.edu / 1 / Sankhaneel Bisui
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NAK for Ext, Ascent of Module Structures, and the Blindness of Extended ModulesAnderson, Benjamin John January 2012 (has links)
This dissertation investigates the interplay between properties of Ext modules and ascent of module structures along ring homomorphisms. First, we consider a flat local ring homomorphism ϕ: (R, [special characters omitted], k) → (S, [special characters omitted]S, k). We show that if M is a finitely generated R-module such that [special characters omitted](S, M) satisfies NAK (e.g. if [special characters omitted](S, M) is finitely generated over S) for i = 1,…, dimR( M), then [special characters omitted](S, M) = 0 for all i ≠ 0 and M has an S-module structure via ϕ. We also provide explicit computations of [special characters omitted](S, M) to indicate how large it can be when M does not have a compatible S-module structure.
Next, we consider the properties of an R-module M that has a compatible S-module structure via the flat local ring homomorphism ϕ. Our results in this direction show that M cannot see the difference between the rings R and S. Specifically, many homological invariants of M are the same when computed over R and over S.
Finally, we investigate these ideas in the non-local setting. We consider a faithfully flat ring homomorphism ϕ: R → S such that for all [special characters omitted] ∈ m-Spec R, the map R/[special characters omitted] → S/[special characters omitted]S is an isomorphism and the induced map ϕ*: Spec( S) → Spec(R) is such that ϕ*(m-Spec( S)) ⊆ m-Spec(R), and show that if M is a finitely generated R-module such that [special characters omitted](S, M) satisfies NAK for i = 1,…,dim R(M), then M has an S-module structure via ϕ, and obtain the same Ext vanishing as in the local case.
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A class of simple gamma delta rings /Maneri, Carl Christoper January 1959 (has links)
No description available.
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Phi algebras /McWorter, William Andrew January 1963 (has links)
No description available.
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Difficulties encountered by elementary algebra students in solving equations in one unknown : a diagnosis of errors and a comparison after forty years /Leonard, Harold A. January 1966 (has links)
No description available.
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On the algebraic closure of the field of Mikusinski operators /Kimble, Kenneth Richard January 1969 (has links)
No description available.
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On the non-existence of tangential 2-blocks /Datta, Biswa Tosh,1937- January 1971 (has links)
No description available.
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A comparative study of two methods of teaching college algebra /Zahroon, Fike Amara January 1972 (has links)
No description available.
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