Results 31 to 40 of about 146,496 (209)
From free abelian groups to free abelian ℓ-groups
Abstract For each n, the free abelian group F on countably many free generators will be equipped with a monoid P n making (F,P n) into the free n-generator abelian ℓ-group. This is a generalization of the main result of the second author, published in the J. Pure Appl.
MUNDICI, DANIELE, J. Kuehr
openaire +2 more sources
Aggregation and the Structure of Value
ABSTRACT Roughly, the view I call “Additivism” sums up value across time and people. Given some standard assumptions, I show that Additivism follows from two principles. The first says that how lives align in time cannot, in itself, matter. The second says, roughly, that a world cannot be better unless it is better within some period or another.
Weng Kin San
wiley +1 more source
Examples of groups in abstract Algebra Course Books
This study has been conducted with the aim to examine the examples of Abelian and non-Abelian groups given in the abstract algebra course books in the university level. The non-examples of Abelian groups serve as examples of non-Abelian groups.
Kula Fulya
doaj +1 more source
Fuchs' problem for indecomposable abelian groups
More than 50 years ago, Laszlo Fuchs asked which abelian groups can be the group of units of a commutative ring. Though progress has been made, the question remains open.
Chebolu, Sunil K., Lockridge, Keir
core +1 more source
ABSTRACT Laws play some role in explanations: at the very least, they somehow connect what is explained, or the explanandum, to what explains, or the explanans. Thus, thermodynamical laws connect the match's being struck and its lightning, so that the former causes the latter; and laws about set formation connect Socrates' existence with {Socrates}'s ...
Julio De Rizzo
wiley +1 more source
Factorization numbers of finite abelian groups [PDF]
The number of factorizations of a finite abelian group as the product of two subgroups is computed in two different ways and a combinatorial identity involving Gaussian binomial coefficients is presented.
Mohammad Farrokhi Derakhshandeh Ghouchan
doaj
Rational points on even‐dimensional Fermat cubics
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley +1 more source
Arithmetic Sets in Groups [PDF]
We define a notion of an arithmetic set in an arbitrary countable group and study properties of these sets in the cases of Abelian groups and non-abelian free ...
Akhmedov, Azer, Fulghesu, Damiano
core
Summary: A homomorphism \(\mu: G \otimes G \to G\) is called a multiplication on an abelian group \(G\). An abelian group \(G\) with a multiplication on it is called a ring on \(G\). The study of abelian groups supporting only a certain ring is one of the trends in the additive group theory.
openaire +2 more sources
What If Each Voxel Were Measured With a Different Diffusion Protocol?
ABSTRACT Purpose Expansion of diffusion MRI (dMRI) both into the realm of strong gradients and into accessible imaging with portable low‐field devices brings about the challenge of gradient nonlinearities. Spatial variations of the diffusion gradients make diffusion weightings and directions non‐uniform across the field of view, and deform perfect ...
Santiago Coelho +7 more
wiley +1 more source

