Results 71 to 80 of about 861 (163)
On tau functions associated with linear systems [PDF]
\noindent {\bf Abstract} This paper considers the Fredholm determinant $\det (I-\Gamma_x)$ of a Hankel integral operator on $L^2(0, \infty )$ with kernel $\phi (s+t+2x)$, where $\phi$ is a matrix scattering function.
Samantha L. Newsham +3 more
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IE-closed subcategories of commutative rings are torsion-free classes
Let C be a subcategory of the category of finitely generated R-modules over a commutative noetheian ring R. We prove that, if C is closed under images and extensions (which we call an IE-closed subcategory), then C is closed under submodules, and hence ...
Enomoto, Haruhisa
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Weight Zero Motivic Cohomology and the General Linear Group of a Simplicial Ring
Using elementary observations concerning the simplicial group obtained by applying the functor GL to a connected simplicial ring, we obtain computations of the weight zero pieces of two proposed ltrations of the K-theory space of a regular ring.
Mark E. Walker
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On noncommutative deformations, cohomology of color-commutative algebras and formal smoothness [PDF]
The main topic under study in the present work is the deformation theory of color algebras. Color algebras are generalized analogues of associative superalgebras, where the underlying grading can be over an arbitrary abelian group and the Koszul sign is ...
GOHR, Aron Samuel
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We study commutative Cohen-Macaulay rings whose Cohen-Macaulay representation theory are controlled by representations of quivers, which we call hereditary representation type.
Hanihara, Norihiro
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Ideals and Maximal Commutative Subrings of Graded Rings [PDF]
This thesis is mainly concerned with the intersection between ideals and (maximal commutative) subrings of graded rings. The motivation for this investigation originates in the theory of C*-crossed product algebras associated to topological dynamical ...
Öinert, Johan
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Group Ring Valued Hilbert Modular Forms
In this paper, we study the action of diamond operators on Hilbert modular forms with coefficients in a general commutative ring. In particular, we generalize a result of Chai on the surjectivity of the constant term map for Hilbert modular forms with ...
Silliman, Jesse
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A NOTE ON THE FUNDAMENTAL THEOREM FOR GALOIS THEORY OF RINGS
We show that in the ring with idempotents other than 0, 1, the Fundamental Theorem for Galois Theory of Commutative rings is not satisfied in general.;0,1 이외의 idempotents를 가지는 commutative riog에서는 Galois 이론의 fundamental Theorem이 일반적으로 성립되지 않는 예를 보인다 ...
김은정
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Generalizations of Multiplicative Ideal Theory to Commutative Rings with Zerodivisors
application/pdf 論文(Article)
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