direct sums
Proximinality in generalized direct sums
... generalized direct sums of Banach spaces (a concept due to Veselý [9], see below for the ...-direct sums of a family of Banach spaces ...
8
Form of filters of semisimple modules and direct sums
... We study the form of filters of semisimple modules and direct sums.. All rings are considered to be associative with unit 1 6 =0 and all modules are left and unitary.[r] ...
7
The Beckenbach Dresher inequality in the Ψ direct sums of spaces and related results
... The above-mentioned discrete inequality was given by Beckenbach [1], and the inte- gral version is due to Dresher [2] (see also [3]). From that time, some generalizations of the Beckenbach-Dresher inequality (1) have ...
14
On countably generated QTAG-modules
... Here we investigate the direct sums of countably generated QTAG-modules. The following example shows that a summable λ -module (ω ≤ λ ) need not be a direct sum of countably generated modules. Let M ...
19
On dual Rickart modules and weak dual Rickart modules
... a direct summand of M and it is called wd -Rickart if for every nonzero endomorphism ϕ of M , ϕ(M ) contains a nonzero direct summand of M ...study direct sums of (w)d-Rickart modules and the ...
15
$\aleph_0$-categoricity of semigroups
... We also consider direct sums and 0-direct sums, determining when a direct sum of finite monoids or semigroups is ℵ0 -categorical Theorem 4.4 and Proposition 4.5, respectively and, via an[r] ...
34
Relative natural classes and relative injectivity
... A nonempty class of modules is called a natural class if is closed under isomorphic copies, submodules, direct sums, and injective hulls [5, page 2912]. Motivated by the torsion-theoretic context, a ...
8
Conjugates, Filters and Quantum Mechanics
... as direct sums of real, complex and quaternionic quantum systems, spin factors (“bits” of arbitrary dimension), and the exceptional Jordan algebra ...
33
On the Number of Representation of Integers by the Direct Sum of BQFs with Discriminant -191
... the direct sum of some binary quadratic ...some direct sum of binary quadratic forms with discriminant ...some direct sums of binary quadratic forms with discriminant −191 which are all ...
18
Automorphism groups of balanced incomplete block designs and their use in statistical model construction and analysis.
... For the desarguesian finite projective plane PG(2, 2) and the desarguesian finite affine plane EG(2, 3), the decanpositions into direct sums of irreducible representations of the permuta[r] ...
110
Relative injectivity and CS modules
... On Extendln Property of Direct Sums of Uniform Modules, Osaka J.. Modules in which Complements ar__e Summands, Ph.D.[r] ...
6
Rad-supplements in injective modules
... Clearly every almost injective module is Rad-s-injective. We begin with an example which shows a Rad-s-injective module which is not almost injective. Then we investigate the structure of Rad-s-injective modules over ...
13
Lattices of partial sums
... partial sums of real numbers and any effective assignment of real values to such indeterminate becomes a valuation on these lattices (classical results concerning the valuations on a distributive lattice and their ...
15
λ designs and related combinatorial configurations
... Since A is a /...-design with respect to rows and columns, constant row and column sums, x, given by :... to have column sums.[r] ...
54
Almost sure central limit theorem for products of sums of partial sums
... positive random variables, for products of sums of partial sums we establish an almost sure central limit theorem, which holds for some class of unbounded measurable functions.. MSC: 60F[r] ...
12
Sums of Powers and Majorization
... of sums of powers of positive integers have important applications in the study of l p norms of weighted mean matrices, we leave interested readers the recent papers [11] and [7] for more details in this direction ...
8
Binomial type sums
... Finite differences may be used to determine a specific polynomial, however the following procedure establishes a recurrence relation to determine the values of ~+i (m) in (21)... ([r] ...
20
Euler-related sums
... m = 2H n . Further work in the summation of harmonic numbers and binomial coefficients has also been done by Sofo [10]. The works of [11-17] and references therein also inves- tigate various representations of binomial ...
7
Sums of cubes with shifts
... for sums of five shifted squares. We can also handle sums of nine univariate cubic polynomials, subject to an irrationality condition, improving on the thirteen variable result apparent from Freeman’s work ...
27
On divergence and sums of derivations
... Key words and phrases: polynomial ring, derivation, divergence, jacobian deri- vation, transcendence basis.... , x n] is invariant under action of automorphisms of this ring.[r] ...
7