Results 1 to 10 of about 37 (37)
The Plectic Weight Filtration on Cohomology of Shimura Varieties and Partial Frobenius
Forum of Mathematics, Sigma, 2021 We prove that there is a natural plectic weight filtration on the cohomology of Hilbert modular varieties in the spirit of Nekovář and Scholl. This is achieved with the help of Morel’s work on weight t-structures and a detailed study of partial Frobenius.
Zhiyou Wu
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Injective and coherent endomorphism rings relative to some matrices
Open Mathematics, 2023 Let MM be a right RR-module with S=End(MR)S={\rm{End}}\left({M}_{R}). Given two cardinal numbers α\alpha and β\beta and a row-finite matrix A∈RFMβ×α(S)A\in {{\rm{RFM}}}_{\beta \times \alpha }\left(S), SM{}_{S}M is called injective relative to AA if ...
Zeng Yuedi
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Self-injectivity of semigroup algebras
Open Mathematics, 2020 It is proved that for an IC abundant semigroup (a primitive abundant semigroup; a primitively semisimple semigroup) S and a field K, if K 0[S] is right (left) self-injective, then S is a finite regular semigroup.
Guo Junying, Guo Xiaojiang
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The cohomology of Torelli groups is algebraic
Forum of Mathematics, Sigma, 2020 The Torelli group of $W_g = \#^g S^n \times S^n$ is the group of diffeomorphisms of $W_g$ fixing a disc that act trivially on $H_n(W_g;\mathbb{Z} )$ .
Alexander Kupers, Oscar Randal-Williams
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THE FREE ENERGY OF THE TWO-DIMENSIONAL DILUTE BOSE GAS. I. LOWER BOUND
Forum of Mathematics, Sigma, 2020 We prove a lower bound for the free energy (per unit volume) of the two-dimensional Bose gas in the thermodynamic limit. We show that the free energy at density $\unicode[STIX]{x1D70C}$ and inverse temperature $\unicode[STIX]{x1D6FD}$ differs from the ...
ANDREAS DEUCHERT +2 more
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The Nakayama automorphism of a self‐injective preprojective algebra
Bulletin of the London Mathematical Society, Volume 52, Issue 1, Page 137-152, February 2020., 2020 Abstract We give a simple proof, using Auslander–Reiten theory, that the preprojective algebra of a basic hereditary algebra of finite representation type is Frobenius. We then describe its Nakayama automorphism, which is induced by the Nakayama functor on the module category of our hereditary algebra.
Joseph Grant
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A BILINEAR RUBIO DE FRANCIA INEQUALITY FOR ARBITRARY SQUARES
Forum of Mathematics, Sigma, 2016 We prove the boundedness of a smooth bilinear Rubio de Francia operator associated with an arbitrary collection of squares (with sides parallel to the axes) in the frequency plane $$\begin ...
CRISTINA BENEA, FRÉDÉRIC BERNICOT
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On some properties of ⊕‐supplemented modules
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 69, Page 4373-4387, 2003., 2003 A module M is ⊕‐supplemented if every submodule of M has a supplement which is a direct summand of M. In this paper, we show that a quotient of a ⊕‐supplemented module is not in general ⊕‐supplemented. We prove that over a commutative ring R, every finitely generated ⊕‐supplemented R‐module M having dual Goldie dimension less than or equal to three is ...
A. Idelhadj, R. Tribak
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Modules which are self-p-injective relative to projection invariant submodules
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this article, we focus on modules M such that every homomorphism from a projection invariant submodule of M to M can be lifted to M. Although such modules share some of the properties of PI -extending (i.e., every projection invariant submodule is ...
Kara Yeliz, Tercan Adnan
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HIGHER RANDOMNESS AND GENERICITY
Forum of Mathematics, Sigma, 2017 We use concepts of continuous higher randomness, developed in Bienvenu et al. [‘Continuous higher randomness’, J. Math. Log. 17(1) (2017).], to investigate $\unicode[STIX]{x1D6F1}_{1}^{1}$
NOAM GREENBERG, BENOIT MONIN
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