Results 71 to 80 of about 861 (163)

On tau functions associated with linear systems [PDF]

open access: yes, 2012
\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
core  

IE-closed subcategories of commutative rings are torsion-free classes

open access: yes, 2023
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
core  

Weight Zero Motivic Cohomology and the General Linear Group of a Simplicial Ring

open access: yes, 1998
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
core  

On noncommutative deformations, cohomology of color-commutative algebras and formal smoothness [PDF]

open access: yes, 2009
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
core  

Non-commutative resolutions for Segre products and Cohen-Macaulay rings of hereditary representation type

open access: yes, 2023
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
core  

Ideals and Maximal Commutative Subrings of Graded Rings [PDF]

open access: yes, 2009
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
core  

Group Ring Valued Hilbert Modular Forms

open access: yes, 2023
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
core  

A NOTE ON THE FUNDAMENTAL THEOREM FOR GALOIS THEORY OF RINGS

open access: yes, 1988
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
core  

Generalizations of Multiplicative Ideal Theory to Commutative Rings with Zerodivisors

open access: yesGeneralizations of Multiplicative Ideal Theory to Commutative Rings with Zerodivisors
application/pdf 論文(Article)
openaire  

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