Results 21 to 30 of about 18,629 (135)
Non-trivial stably free modules over crossed products
, 2009 We consider the class of crossed products of noetherian domains with universal enveloping algebras of Lie algebras. For algebras from this class we give a sufficient condition for the existence of projective non-free modules.
Antoniou I +11 more
core +1 more source
Growth of generating sets for direct powers of classical algebraic structures [PDF]
, 2010 For an algebraic structure A denote by d(A) the smallest size of a generating set for A, and let d(A)=(d(A),d(A2),d(A3),…), where An denotes a direct power of A.
Quick, Martyn, Ruskuc, Nik
core +1 more source
, 2017 A quasi-order is a binary, reflexive and transitive relation. In the Journal of Pure and Applied Algebra 45 (1987), S.M. Fakhruddin introduced the notion of (totally) quasi-ordered fields and showed that each such field is either an ordered field or else
Simon Muller
semanticscholar +1 more source
Algebras of p-adic distributions and admissible representations
, 2002 Let G be a compact, locally L-analytic group, where L is a finite extension of Qp. Let K be a discretely valued extension field of L. We study the algebra D(G,K) of K-valued locally analytic distributions on G, and apply our results to the locally ...
Schneider, Peter, Teitelbaum, Jeremy
core +2 more sources
, 2011 We introduce a certain class of so-called perfectoid rings and spaces, which give a natural framework for Faltings' almost purity theorem, and for which there is a natural tilting operation which exchanges characteristic 0 and characteristic p. We deduce
Scholze, Peter
core +6 more sources
Basic Module Theory over Non-Commutative Rings with Computational Aspects of Operator Algebras
, 2013 The present text surveys some relevant situations and results where basic Module Theory interacts with computational aspects of operator algebras. We tried to keep a balance between constructive and algebraic aspects.Comment: To appear in the Proceedings
A. Kandri-Rody +54 more
core +1 more source
Unprecedented Spin‐Lifetime of Itinerant Electrons in Natural Graphite Crystals
Advanced Functional Materials, EarlyView.Graphite exhibits extraordinary spintronic potential, with electron spin lifetimes reaching 1,000 ns at room temperature ‐ over 100 times longer than graphene‐based devices. Magnetic resonance spectroscopy reveals strong anisotropy: out‐of‐plane spins live 50 times longer than their in‐plane counterparts.
Bence G. Márkus +5 more
wiley +1 more source
Recent developments around partial actions
, 2018 We give an overview of publications on partial actions and related concepts, paying main attention to some recent developments.Comment: New bibliography added and ...
Dokuchaev, Mikhailo
core +1 more source
Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
The graded Grothendieck group and the classification of Leavitt path algebras [PDF]
, 2011 This paper is an attempt to show that, parallel to Elliott's classification of AF $C^*$-algebras by means of $K$-theory, the graded $K_0$-group classifies Leavitt path algebras completely.
Hazrat, R.
core +1 more source