Results 81 to 90 of about 1,348 (187)
Quandle cohomology is a Quillen cohomology [PDF]
Transactions of the American Mathematical Society, 2018 Racks and quandles are fundamental algebraic structures related to the topology of knots, braids, and the Yang–Baxter equation. We show that the cohomology groups usually associated with racks and quandles agree with the Quillen cohomology groups for the algebraic theories of racks and quandles, respectively.
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Hochschild Cohomology Theories in White Noise Analysis
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We show that the continuous Hochschild cohomology and the differential Hochschild cohomology of the Hida test algebra endowed with the normalized Wick product are the same.
Rémi Léandre
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Equivariant deformation cohomology and group actions on compatible Hom-Leibniz algebras [PDF]
Arab Journal of Mathematical SciencesPurposeThis paper introduces and studies compatible G-Hom-Leibniz algebras, namely compatible Hom-Leibniz algebras equipped with a finite group action.
Rinkila Bhutia, Namita Behera
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Homology, Homotopy and Applications, 2008 Paper published in peer reviewed journal in ...
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CoRR, 2018 We follow existing distributed systems frameworks employing methods from algebraic topology to formally define primitives of blockchain technology. We define the notion of cross chain liquidity, sharding and probability spaces between and within blockchain protocols. We incorporate recent advancements in synthetic homology to show that this topological
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Journal of Algebra, 2010 Let $d \in \N$ and let $\D^d$ denote the class of all pairs $(R,M)$ in which $R = \bigoplus_{n \in \N_0} R_n$ is a Noetherian homogeneous ring with Artinian base ring $R_0$ and such that $M$ is a finitely generated graded $R$-module of dimension $\leq d$. The cohomology table of a pair $(R,M) \in \D^d$ is defined as the family of non-negative integers $
Brodmann-Maeder, Monika +2 more
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Journal of Pure and Applied Algebra, 2005 Let \(G\) be a \(p\)-group, the `coclass' of \(G\) is defined as \(r=n-c\), where \(p^n\) is the order of \(G\) and \(c\) is the length of the lower central series of \(G\). There is a classification of finite \(p\)-groups according to their coclass: \textit{C. R. Leedham-Green} [J. Lond. Math. Soc. II, Ser. 50, No.
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On bounded cohomology of amalgamated products of groups
International Journal of Mathematics and Mathematical Sciences, 2004 We investigate the structure of the singular part of the second bounded cohomology group of amalgamated products of groups by constructing an analog of the initial segment of the Mayer-Vietoris exact cohomology sequence for the spaces of pseudocharacters.
Igor V. Erovenko
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On The Cohomology of Categories
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1973 We have started our study of the cohomology of categories [1] in particularizing a note of C. Ehresmann [2]. Then, our wislı was to put together, in a same work, our original study and the theory of M. Andre [3 ]. The result is the text herewith presen- ted.In the first chapter, we construct a homology and a coho- mology of categories.
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Cohomology and Crossed Modules of Modified Rota–Baxter Pre-Lie Algebras
MathematicsThe goal of the present paper is to provide a cohomology theory and crossed modules of modified Rota–Baxter pre-Lie algebras. We introduce the notion of a modified Rota–Baxter pre-Lie algebra and its bimodule.
Fuyang Zhu, Wen Teng
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