Results 81 to 90 of about 239 (103)

On algebraically closed Krasner hyperfields

In this short paper, we prove two negative results: the first order theory of algebraically closed Krasner hyperfields is neither complete nor substructure complete, the latter meaning that the theory does not admit quantifier ...
Linzi, Alessandro
core   +1 more source

Transcriptional profiling of dividing tumor cells detects intratumor heterogeneity linked to cell proliferation in a brain tumor model. [PDF]

Mol Oncol, 2016
Endaya BB, Lam PY, Meedeniya AC, Neuzil J.   +3 more
europepmc   +1 more source

The organization of spatial coding in the hippocampus: a study of neural ensemble activity. [PDF]

J Neurosci, 1989
Eichenbaum H, Wiener SI, Shapiro ML, Cohen NJ.   +3 more
europepmc   +1 more source

Extensions of Matroids over Tracts and Doubly Distributive Partial Hyperfields

, 2018
Matroids over tracts (Baker and Bowler, 2017) provide an algebraic framework simultaneously generalizing the notion of linear subspaces, matroids, oriented matroids, phased matroids, and some other ``matroids with extra structure." A single element ...
Su, Ting
core  

Signed Tropicalization of Polar Cones. [PDF]

J Optim Theory Appl
Akian M, Allamigeon X, Gaubert S, Sergeev S.   +3 more
europepmc   +1 more source

Stationary Fourier Hyperfields

Stationary Fourier Hyperfields
In this paper, we define stationary Fourier hyperfields and prove the structure theorems of stationary Fourier hyperfields. Thereby we determine the whole class of all stationary Fourier hyperfields.
openaire   +1 more source

Roots of polynomials over semirings and hyperfields

We continue our investigation of roots of polynomials over semirings and hyperfields, employing a property on semiring and hyperfield ``pairs'' with a surpassing relation $\preceq,$ which we call $\preceq$-reversibility. There are two kinds of roots generalizing the classical algebraic theory, ``null roots,'' and $\preceq$-roots.
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Hyperfields and Random Sets

IFAC Postprint Volumes IPPV / International Federation of Automatic Control, 1983
Abstract Basically, σ- hyperfields on σ- complete De Morgan algebras are introduced and explored. Measurable spaces (topological spaces) are extended to hypermeasurable spaces (hypertopological spaces) constructed considering σ- hyperfields. Random sets are then given a pure measure theoretical definition and, finally, random fuzzy sets are ...
Wang Pei-Zhuang, E. Sanchez
exaly   +2 more sources

Classification of Krasner Hyperfields of Order 4

Acta Mathematica Sinica, English Series, 2020
Let \(H\) be a non-empty set. A map from \(H\times H\) into the non-empty subsets of \(H\) is called a hyperoperation. The image of \((a,b)\) is denoted by \(ab\). Various notions generalize, one way or another, basic properties of groups. One such notion are polygroups. The authors study \(n\)-polygroups, where \(ab\) has at most \(n\) elements.
Hossien Aghabozorgi, Morteza Jafarpour
exaly   +3 more sources

Theory of hyperrings and hyperfields

Algebra and Logic, 1985
The notion of hyperfield was introduced by \textit{M. Krasner} [Colloq. d'Algèbre Supérieure, CBRM, Bruxelles 1956, 129-206 (1959; Zbl 0085.265)] who raised the following question: Are all hyperfields isomorphic to quotient hyperfields? He also raised an analogous question for hyperrings.
exaly   +3 more sources