Results 11 to 20 of about 234,678 (87)
Applications of Differential Graded Algebra Techniques in Commutative Algebra [PDF]
arXiv, 2020 Differential graded (DG) algebras are powerful tools from rational homotopy theory. We survey some recent applications of these in the realm of homological commutative algebra.
Saeed Nasseh, S. Sather-Wagstaff
arxiv +2 more sources
Dirac Geometry I: Commutative Algebra [PDF]
, 2022 The purpose of this paper and its sequel is to develop the geometry built from the commutative algebras that naturally appear as the homology of differential graded algebras and, more generally, as the homotopy of algebras in spectra.
L. Hesselholt, Piotr Pstrągowski
semanticscholar +1 more source
Generalizations of Stillman’s Conjecture via Twisted Commutative Algebra [PDF]
International mathematics research notices, 2018 Combining recent results on Noetherianity of twisted commutative algebras by Draisma and the resolution of Stillman’s conjecture by Ananyan–Hochster, we prove a broad generalization of Stillman’s conjecture.
D. Erman, Steven V. Sam, Andrew Snowden
semanticscholar +1 more source
A commutative algebra approach to multiplicative Hom-Lie algebras [PDF]
Linear and multilinear algebra, 2019 Let be a finite-dimensional complex Lie algebra and be the affine variety of all multiplicative Hom-Lie algebras on . We use a method of computational ideal theory to describe , showing that consists of two 1-dimensional and one 3-dimensional irreducible
Yin Chen, Runxuan Zhang
semanticscholar +1 more source
Derivations of Non-Commutative Group Algebras [PDF]
Journal of Algebra and its Applications, 2023 In this article, we study the derivations of group algebras of some important groups, namely, dihedral ($D_{2n}$), Dicyclic ($T_{4n}$) and Semi-dihedral ($SD_{8n}$).
P. Manju, R. Sharma
semanticscholar +1 more source
Hidden constructions in abstract algebra. Krull Dimension of distributive lattices and commutative rings [PDF]
, 2017 We present constructive versions of Krull's dimension theory for commutative rings and distributive lattices. The foundations of these constructive versions are due to Joyal, Espanol and the authors.
T. Coquand, H. Lombardi
semanticscholar +1 more source
Commutative post-Lie algebra structures on Kac–Moody algebras [PDF]
Communications in Algebra, 2018 We determine commutative post-Lie algebra structures on some infinite-dimensional Lie algebras. We show that all commutative post-Lie algebra structures on loop algebras are trivial.
D. Burde, P. Zusmanovich
semanticscholar +1 more source
Presentations of Munn matrix algebras over K-algebras with K being a commutative ring
Algebra and discrete mathematics, 2023 We consider the Munn matrix algebras over anassociative unitalK-algebraA, whereKis a commutative (unital)ring andAas aK-module is free (of őnite or inőnite rank), and,for each (not necessarily őnitely deőned) presentation ofA, we givepresentations of the
V. Bondarenko
semanticscholar +1 more source
Maximal commutative subalgebras of a Grassmann algebra [PDF]
Journal of Algebra and its Applications, 2018 We provide a new approach to the investigation of maximal commutative subalgebras (with respect to inclusion) of Grassmann algebras. We show that finding a maximal commutative subalgebra in Grassmann algebras is equivalent to constructing an intersecting
V. Bovdi, Ho-Hon Leung
semanticscholar +1 more source
Commutative Algebra: Constructive Methods: Finite Projective Modules [PDF]
, 2015 Translated from the popular French edition, this book offers a detailed introduction to various basic concepts, methods, principles, and results of commutative algebra.
H. Lombardi, Claude Quitt'e
semanticscholar +1 more source