Results 21 to 30 of about 98,002 (213)
Operads and Γ-homology of commutative rings [PDF]
, 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
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Representing Multipliers of the Fourier Algebra on Non-Commutative L p Spaces [PDF]
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2009 We show that the multiplier algebra of the Fourier algebra on a locally compact group $G$ can be isometrically represented on a direct sum on non-commutative ${{L}^{p}}$ spaces associated with the right von Neumann algebra of $G$ . The resulting image is
Matthew Daws
semanticscholar +1 more source
Free integro-differential algebras and Groebner-Shirshov bases [PDF]
, 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
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Lebesgue Decomposition of Non-Commutative Measures [PDF]
International mathematics research notices, 2019 We extend the Lebesgue decomposition of positive measures with respect to Lebesgue measure on the complex unit circle to the non-commutative (NC) multi-variable setting of (positive) NC measures.
M. Jury, Robert T. W. Martin
semanticscholar +1 more source
Noncommutative resolutions of ADE fibered Calabi-Yau threefolds [PDF]
, 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
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Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Groebner Bases [PDF]
, 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
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Nonstandard Analysis, Deformation Quantization and Some Logical Aspects of (Non)Commutative Algebraic Geometry [PDF]
Mathematics, 2020 This paper surveys results related to well-known works of B. Plotkin and V. Remeslennikov on the edge of algebra, logic and geometry. We start from a brief review of the paper and motivations. The first sections deal with model theory.
A. Kanel-Belov +6 more
semanticscholar +1 more source
ON $(m,n)$-CLOSED IDEALS IN AMALGAMATED ALGEBRA
International Electronic Journal of Algebra, 2021 Let R be a commutative ring with 1 6= 0 and let m and n be integers with 1 ≤ n < m. A proper ideal I of R is called an (m,n)-closed ideal of R if whenever am ∈ I for some a ∈ R implies an ∈ I. Let f : A → B be a ring homomorphism and let J be an ideal of
Mohammed Issoual +2 more
semanticscholar +1 more source
RM ALGEBRAS AND COMMUTATIVE MOONS
, 2021 Some generalizations of BCI algebras (the RM, BH, CI, BCH, BH**, BCH**, and *aRM** algebras) satisfying the identity (x → 1) → y = (y → 1) → x are considered.
A. Walendziak
semanticscholar +1 more source
A case study in bigraded commutative algebra [PDF]
, 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
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