Results 61 to 70 of about 6,156 (235)
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
On complexes in a finite abelian group, I [PDF]
This paper is a sequel of a previous one [ibid. 64, No.7, 245-248 (1988; see the preceding review Zbl 0693.20022)], concerning the subsets of finite abelian groups. It contains the proofs of some results stated in that one.
Szőnyi, Tamás, Wettl, Ferenc
openaire +4 more sources
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
On the additive image of zeroth persistent homology
Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source
First-Order Queries on Finite Abelian Groups [PDF]
We study the computational problem of checking whether a logical sentence is true in a finite abelian group. We prove that model checking first-order sentences on finite abelian groups is fixed-parameter tractable, when parameterized by the size of the ...
Bova, Simone Maria +3 more
core +1 more source
In the paper, the properties of infinite locally finite groups with non-Dedekind locally nil\-potent norms of Abelian non-cyclic subgroups are studied. It is proved that such groups are finite extensions of a quasicyclic subgroup and contain Abelian non ...
T. D. Lukashova, M. G. Drushlyak
doaj +1 more source
Structure of Finite-Dimensional Protori
A Structure Theorem for Protori is derived for the category of finite-dimensional protori (compact connected abelian groups), which details the interplay between the properties of density, discreteness, torsion, and divisibility within a finite ...
Wayne Lewis
doaj +1 more source
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
On a Permutation Problem for Finite Abelian Groups
Let $G$ be a finite additive abelian group with exponent $n>1$, and let $a_1,\ldots,a_{n-1}$ be elements of $G$. We show that there is a permutation $\sigma\in S_{n-1}$ such that all the elements $sa_{\sigma(s)}\ (s=1,\ldots,n-1)$ are nonzero if and only if$$\left|\left\{1\leqslant s<n:\ \frac{n}da_s\not=0\right\}\right|\geqslant d-1\ \ \mbox{for
Fan Ge, Zhi-Wei Sun
openaire +3 more sources
Spanning subsets of a finite abelian group of order pq [PDF]
Let G be a finite abelian group, and let S µ G be a subset of distinct nonzero elements of G. If each element g 2 G of the group can be written as a nonempty sum of elements from S, then we say S spans G nontrivially.
Eyl, Jennifer S. +1 more
core

