Results 11 to 20 of about 2,699 (160)

Operads and Γ-homology of commutative rings [PDF]

open access: yes, 2002
We introduce Γ-homology, the natural homology theory for E[infty infinity]-algebras, and a cyclic version of it. Γ-homology specializes to a new homology theory for discrete commutative rings, very different in general from André–Quillen homology.
Robinson, Alan (C. Alan)   +1 more
core   +1 more source

Free integro-differential algebras and Groebner-Shirshov bases [PDF]

open access: yes, 2014
The notion of commutative integro-differential algebra was introduced for the algebraic study of boundary problems for linear ordinary differential equations. Its noncommutative analog achieves a similar purpose for linear systems of such equations.
Guo, Li   +5 more
core   +1 more source

LINKAGE AND DUALITY OF MODULES [PDF]

open access: yes, 2009
Martsinkovsky and Strooker [13] recently introduced module theoretic linkage using syzygy and transpose. This generalization brings possibility of much application of linkage, especially, to homological theory of modules. In the present paper, we connect
Nishida, Kenji, Kenji Nishida
core   +1 more source

Spectral synthesis in the multiplier algebra of a C_0(X)-algebra [PDF]

open access: yes, 2014
We are grateful to the referee for a number of helpful comments and for pointing out an error in the original proof of Theorem 3.6.Peer ...
Archbold, Robert J   +1 more
core   +2 more sources

Noncommutative resolutions of ADE fibered Calabi-Yau threefolds [PDF]

open access: yes, 2010
In this paper we construct noncommutative resolutions of a certain class of Calabi-Yau threefolds studied by F. Cachazo, S. Katz and C. Vafa. The threefolds under consideration are fibered over a complex plane with the fibers being deformed Kleinian ...
Boer, A.L.   +5 more
core   +1 more source

Trends in commutative algebra [PDF]

open access: yes, 2004
This book describes the interaction of commutative algebra with other areas of mathematics, including algebraic geometry, group cohomology, and ...
Avramov, Luchezar L   +2 more
core   +3 more sources

Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Groebner Bases [PDF]

open access: yes, 2010
We review our algebraic framework for linear boundary problems (concentrating on ordinary differential equations). Its starting point is an appropriate algebraization of the domain of functions, which we have named integro-differential algebras.
Regensburger, Georg   +4 more
core   +1 more source

Algebra, Geometry and Mathematical Physics Conference [PDF]

open access: yes, 2014
This book collects the proceedings of the Algebra, Geometry and Mathematical Physics Conference, held at the University of Haute Alsace, France, October 2011.
Silvestrov, Sergei,   +10 more
core   +1 more source

A case study in bigraded commutative algebra [PDF]

open access: yes, 2007
We study the commutative algebra of three bihomogeneous polynomials p_0,p_1,p_2 of degree (2,1) in variables x,y;z,w, assuming that they never vanish simultaneously on P^1 x P^1. Unlike the situation for P^2, the Koszul complex of the p_i is never exact.
Schenk, Hal   +2 more
core   +1 more source

On the structure of (2+1)-dimensional commutative and noncommutative integrable equations [PDF]

open access: yes, 2006
We develop the symbolic representation method to derive the hierarchies of (2+1)-dimensional integrable equations from the scalar Lax operators and to study their properties globally. The method applies to both commutative and noncommutative cases in the
Jing Ping Wang, Wang, Jing Ping
core   +1 more source

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