Results 101 to 110 of about 1,430 (227)

Infinite direct sums of lifting modules [PDF]

, 2006
A module M over a ring R is called a lifting module if every submodule A of M contains a direct summand K of M such that A/K is a small submodule of M/K (e.g., local modules are lifting). It is known that a (finite) direct sum of lifting modules need not
ER, NOYAN FEVZİ
core   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Direct Summand of Serial Modules

European Journal of Pure and Applied Mathematics
Let R be an associative ring and M a unitary left R-module. An R-module M is said to be uniserial if its submodules are linearly ordered by inclusion. A serial module is a direct sum of uniserial modules. In this paper, we bring our modest contribution to the open problem listed in the book of Alberto Facchini "Module Theory" which states that is any ...
Alhousseynou BA, Mankagna A. Diompy, Andre S. Diabang   +2 more
openaire   +1 more source

Analysis of a Novel Time‐Continuous Dimer Growth Model Describing One Possible Cause of Alzheimer's Disease and a Time‐Discretization for Its Numerical Simulation

Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14292-14316, August 2026.
ABSTRACT Because oligomers of the amyloid‐β$$ \beta $$ (Aβ$$ A\beta $$) protein can possibly be regarded as one main cause for progressive development of Alzheimer's disease, different mathematical models for its emergence have been proposed by different scientific groups.
Benjamin Wacker
wiley   +1 more source

Cancellation and direct summands in dimension 1 [PDF]

, 1991
Let Λ be a module-finite algebra over a commutative noetherian ring of Krull dimension 1. We extend Roiter's direct-summand theorem to arbitrary finitely generated Λ-modules, obtaining a sharpened form of Serre's direct-summand theorem in this setting ...
Levy, Lawrence S, Guralnick, Robert M
core   +1 more source

Randomized Algorithms for Streaming Low‐Rank Approximation in Tree Tensor Network Format

Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT In this work, we present the tree tensor network Nyström (TTNN), an algorithm that extends recent research on streamable tensor approximation, such as for Tucker and tensor‐train formats, to the more general tree tensor network format, enabling a unified treatment of various existing methods.
Alberto Bucci, Gianfranco Verzella
wiley   +1 more source

On generalizations of extending modules [PDF]

, 2009
A module M is said to be SIP-extending if the intersection of every pair of direct summands is essential in a direct summand of M. SIP-extending modules are a proper generalization of both SIP-modules and extending modules. Every direct summand of an SIP-
Karabacak, F.
core   +1 more source

Equivariant Ehrhart theory of hypersimplices

Forum of Mathematics, Sigma
We study the hypersimplex under the action of the symmetric group $S_n$ by coordinate permutation. We prove that its equivariant volume, given by the evaluation of its equivariant $H^*$ -series at $1$ , is the permutation character of ...
Oliver Clarke, Max Kölbl
doaj   +1 more source

The Natural Components of a Regular Linear System

Oxford Bulletin of Economics and Statistics, Volume 88, Issue 4, Page 603-622, August 2026.
ABSTRACT The analysis of a finite‐dimensional regular linear system may be simplified by separating the system into its natural components. The natural components are smaller linear systems on separate subspaces whose dimensions sum to the dimension of the original linear system.
Brendan K. Beare, Phil Howlett
wiley   +1 more source

The Hubble tension from the standpoint of quantum cosmology

European Physical Journal C: Particles and Fields
The Hubble tension is analyzed in the framework of quantum cosmological approach. It is found that there arises a new summand in the expression for the total energy density stipulated by the quantum Bohm potential.
V. E. Kuzmichev, V. V. Kuzmichev
doaj   +1 more source