Results 131 to 140 of about 614,346 (163)

Infinite Direct Sums of Lifting Modules

Communications in Algebra, 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 be lifting.
openaire   +3 more sources

Perturbation of Direct Sum Differential Operators

Canadian Journal of Mathematics, 1978
Let I be an interval, and let for 1 ≦ j ≦ I < ∞ be abutted subintervals such that . Let τ j be a linear differential expression defined on I j . In this paper we study densely defined operators associated with
openaire   +2 more sources

DIRECT SUMS OF H-SUPPLEMENTED MODULES

Journal of Algebra and Its Applications, 2013
A module M is said to be H-supplemented if, for any submodule X of M, there exists a direct summand M′ of M such that M = X + Y if and only if M = M′ + Y for all Y ⊆ M (cf. [S. H. Mohamed and B. J. Müller, Continuous and Discrete Modules, London Mathematical Society Lecture Note Series, Vol. 147 (Cambridge University Press, 1999)]).
openaire   +2 more sources

Direct Sums of Torsion-Free Covers

Canadian Journal of Mathematics, 1973
In [4, Theorem 4.1, p. 45], Enochs characterizes the integral domains with the property that the direct product of any family of torsion-free covers is a torsion-free cover. In a setting which includes integral domains as a special case, we consider the corresponding question for direct sums. We use the notion of torsion introduced by Goldie [5]. Among
openaire   +2 more sources

Disentangled features with direct sum decomposition for zero shot learning

Neurocomputing, 2021
Tong Zhao
exaly  

Direct Sums and Direct Products

2021
openaire   +1 more source

On centres and direct sum decompositions of higher degree forms

Linear and Multilinear Algebra, 2022
Huajun Lu, Yu Ye
exaly  

Factor categories and infinite direct sums

2009
We give an improved categorical version of the Weak Krull-Schmidt Theorem for serial modules proved by the second author in [10]. The main improvement consists in the fact that it applies not only to serial modules, but also, more generally, to arbitrary direct summands of serial modules.
FACCHINI, ALBERTO, PRIHODA P.
openaire   +2 more sources

Robust observer design for LPV systems using Kronecker sum and direct searching

ISA Transactions, 2023
Maryam Dehghani, Mohammad Hassan Asemani
exaly  

Subrings of Direct Sums

American Journal of Mathematics, 1938
openaire   +2 more sources