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Showing 1 to 20 of 48 for “"homomorphisms"”.
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Homomorphisms between bubble algebra modules
… the bubble algebras. We focus 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 …
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Local list decoding of homomorphisms
… decodability of codes whose codewords are group homomorphisms. The study of such codes was intiated by Goldreich and Levin with the seminal work on decoding the Hadamard code. Many of the recent abstractions of their initial algorithm focus on Locally Decodable Codes (LDC's) over finite fields. …
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Spaces of homomorphisms and group cohomology
In this work we study the space of group homomorphisms Hom(Γ,G) from a geometric and simplicial point of view. The case in which the source group is a free abelian group of rank n is studied in more detail since this space can be identified with the space of commuting n-tuples of elements from G. …
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Discontinuous homomorphisms from Banach algebras of operators
The relationship between a Banach space X and its Banach algebra of bounded operators B(X) is rich and complex; this is especially so for non-classical Banach spaces. In this thesis we consider questions of the following form: does there exist a Banach space X such that B(X) has a particular …
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Rings of differential operators and étale homomorphisms
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1991.
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Homomorphisms of semi-holonomic verma modules : an exceptional case.
Verma modules play an important part in the theory of invariant operators on homogeneous spaces. If G is a semisimple Lie group and P a parabolic subgroup of G, then there is often a differential geometry for which the homogeneous space G/P represents the flat model. An example is conformal …
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Some Subgroups and Homomorphisms of Locally Free Class Groups
Made available in DSpace on 2014-12-14T13:09:32Z (GMT). No. of bitstreams: 1 7709090.pdf: 1846776 bytes, checksum: a5239713df412a208553e6ec6e04d6ba (MD5) Previous issue date: 1976
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Jordan homomorphisms and derivations on algebras of measurable operators
… maps between unital algebras are Jordan homomorphisms. This question is still unanswered, and the progress that has been made has mainly been in the context of Banach algebras, including C*-algebras and von Neumann algebras. Let M be a von Neumann algebra with a faithful semifinite normal …
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On homomorphisms between specht modules for the Ariki-Koike algebra
… being placed upon the construction of explicit homomorphisms between Specht modules. Being a generalization of the Iwahori-Hecke algebra of type A, Specht modules are of a similar importance to the Ariki-Koike algebra. In this thesis we provide and analogue of James’s kernel intersection …
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Homomorphisms of wn-right cancellative, wn-bisimple, and wnI-bisimple semigroups
… relation J: is a congruence to describe the homomorphisms of an ω<sup>n</sup>-right cancellative semigroup into an ω<sup>n</sup>-right cancellative semigroup when 1 ≤ n ≤ 2 and m ≤ n ["Lectures in Semigroups," West Virginia Univ., unpublished]. We have described, modulo groups, the …
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Homomorphisms into the Fundamental Group of One-Dimensional and Planar Peano Continua
Let X be a planar or one-dimensional Peano continuum. Let E be a Hawaiian Earring with fundamental group H. We show that every homomorphism from H to the fundamental group of X is conjugate to a homomorphism which is induced by a continuous function.
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Two mod-p Johnson filtrations
… Further, we adapt the definition of the Johnson homomorphisms to obtain mod-p Johnson homomorphisms. We calculate the image of the first of these homomorphisms. We give generators for the kernels of these homomorphisms as well. We restrict the range of our mod-p Johnson homomorphisms using work …
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Representations of Fundamental Groups of Abelian Varieties in Characteristic P
… characteristic $p>0$. We compute the number of homomorphisms from $\pi_1^{\text{\'et}}(A_g)$ to $GL_n(\mathbb F_q)$, where $q$ is any power of $p$. We show that for fixed $g$, $\lambda$, and $n$, the number of such representations is polynomial in $q$. We show that the set of such homomorphisms …
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Categories of spaces built from local models
… one identifies a distinguished class of ring homomorphisms corresponding to open immersions of schemes; second, one defines the notion of an open covering in terms of these distinguished homomorphisms; and finally, one embeds the opposite of the category of commutative rings in an ambient …
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Exploring the multiplicative structure of Z/nZ
… this, our approach relies on the study of monoid homomorphisms. In particular, we investigate the homomorphisms between two prime power multiplicative modular monoids, aiming to understand their algebraic and structural properties. These sets of homomorphisms provide valuable insight into the …
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Processing techniques for partial tree-pattern queries on XML data
… that this problem cannot be characterized by homomorphisms between PTPQs, even when PTPQs are put in canonical form. In both cases of the problem, necessary and sufficient conditions for PTPQ containment are provided in terms of homomorphisms between PTPQs and (a possibly exponential number …
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Elliptic Curves
… To do this, we review a few well-known homomorphisms on the curve <em>E</em>: <em>y</em><sup>2</sup> = <em>x</em><sup>3</sup> + a<em>x<sup>2</sup></em> + b<em>x</em> as in Tate and Silverman's <em>Elliptic Curves</em>, and study analogous homomorphisms on <em>E</em>: …
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Injective objects
… above arrow] C is exact providing f and g are R-homomorphisms and Im f =Ker g. Let 0 represent the R-module with precisely one element. An R-module J is injective if and only if for every exact sequence 0→A→ [f above arrow] B of R-modules and R-homomorphisms and every R-homomorphism g: A→J there …
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Quandles that are Knot Quandles
… relationship between colorings of a knot and the homomorphisms from an arbitrary quandle to a Fundamental Quandle. Then using this foundation, we will examine two sets of knots that produce quandles that contain subquandles and the set of quandles created by non-oriented knots.</p>
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Examining Connections among Instruction, Conceptual Metaphors, and Beliefs of Instructors and Students
… the professors use to describe isomorphisms and homomorphisms and what relationship exists between these metaphors and the mathematical content in instruction? 4. What is the relationship between the mathematical content in instruction and conceptual metaphors the students use to describe …
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