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Showing 1 to 20 of 2393 for “"modules"”.
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Equivariant Modules
… for understanding the lattice of equivariant modules. Then we apply this technique to two questions related to equivariant modules. In Chapter 2 we work with equivariant modules for GL(V) acting on the polynomial ring R=Sym V. We introduce for every partition λ the elementary equivariant …
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Gorenstein Injective Modules
… is: when is the class of Gorenstein injective modules closed under arbitrary direct sums? Our main result gives a sufficient condition for this to happen. We prove that when the ring R is noetherian and such that every R-module has finite Gorenstein injective dimension, every direct sum of …
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On extending Scott modules
… a variety of questions related to the Scott modules S(G,Q) associated to a finite group G, where Q denotes a p-subgroup of G for a given prime p. The main concept we study is that of a p-extendible group, which we define to be a group in which the dimension of S(G,Q) is minimal for all …
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Conformable light emitting modules
… support creation of robust and efficient light modules, also using a set of new, commercially available elastomeric, polymer materials. The developments are illustrated with demonstration devices.
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Decomposition Theories for Modules
Made available in DSpace on 2014-12-09T22:17:49Z (GMT). No. of bitstreams: 1 6910700.pdf: 2277407 bytes, checksum: 21a82937a8c721d2b2d32d90b701e643 (MD5) Previous issue date: 1968
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Macaulay Bases of Modules
We introduce fully general Macaulay bases of modules, which are a common generalization of Groebner bases and Macaulay 𝐻-bases to suitably graded modules over a commutative graded k-algebra, where the index sets of the two gradings may differ. The additional generality includes Groebner bases of …
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Gröbner Bases and Syzygy Modules
… bases, Buchberger's algorithm, and syzygy modules. Specially, we present several equivalent definitions for Gröbner bases and prove how to compute a Gröbner basis for an ideal I of A = k[x1, x2, • • • , xn] generated by {fl, f2, • • • , f8} through Buchberger's algorithm. As an application …
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Frames In Hilbert C*-modules
… frame theory from Hilbert spaces to Hilbert C*-modules and got significant results which enrich the theory of frames. Also there is growing evidence that Hilbert C*-modules theory and the theory of wavelets and frames are tightly related to each other in many aspects. Both research fields can …
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Homomorphisms between bubble algebra modules
… on determining the homomorphisms between cell modules for these algebras. We show that the bubble algebras are cellular, and form a tower of recollement. By decomposing Gram matrices we are able to determine homomorphisms in the one arc case. We determine a generating set for the algebra (and …
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Physical Design for Multichip Modules
This thesis deals with four physical design problems in the multichip module (MCM) environment: interconnect analysis, chip placement, global tree construction, and layer assignment. The emphasis is on maximizing the electrical performance, based on accurate modeling of MCM interconnect behavior. A …
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Swan Modules and Elliptic Functions
M. J. Taylor has described the additive Galois module structure of rings of integers of certain Kummer extensions with respect to an elliptic group law. He has obtained elliptic analogues of cyclotomic results. The arithmetic nature of elliptic resolvents, the elliptic analogue of the Gauss sum …
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Sheaves and Torsion-Free Modules
Made available in DSpace on 2014-12-14T13:09:37Z (GMT). No. of bitstreams: 1 7804181.pdf: 5134647 bytes, checksum: 4434abb7f8b96420c6ecc8cb10083a16 (MD5) Previous issue date: 1977
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Lattice-Ordered Rings and Modules
Made available in DSpace on 2014-12-11T18:23:42Z (GMT). No. of bitstreams: 1 7114957.pdf: 5467247 bytes, checksum: dae7feb28ca021777e84b9647080ae2b (MD5) Previous issue date: 1970
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Graded rings, modules and algebras.
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1970.
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Extending modules relative to module classes
… of known and new results on extending modules and related notions with respect to an R-module class X. By assuming basic facts from Module Theory, our treatment is essentially self-contained. In the first chapter, some background material is given together with the definitions of the …
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Rings and modules with Krull dimension
… concerns the interplay between the structures of modules and those of their overlying rings; investigating finite annihilation, prime submodules, boundedness and the relationships between various forms of Krull dimension.
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Miniaturizing microvias for multi-chip modules
Electronics packaging is continually migrating toward denser packaging. This encompasses a push toward multilevel die, denser metallization, and smaller microvias. In this thesis we investigate the miniaturization of laser-drilled microvias in polyimide dielectric for chips-first multi-chip module …
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Nonarchimedean differential modules and ramification theory
… the theory of nonarchimedean differential modules, deducing fundamental theorems about the variation of generic radii of convergence for differential modules over polyannuli. The theorems assert that the log of subsidiary radii of convergence are convex, continuous, and piecewise affine …
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