Results 41 to 50 of about 448 (100)

Screened Poisson Hyperfields for Shape Coding

SIAM Journal on Imaging Sciences, 2014
Summary: We present a novel perspective on shape characterization using the screened Poisson equation. We discuss that the effect of the screening parameter is a change of measure of the underlying metric space. Screening also indicates a conditioned random walker biased by the choice of measure.
Güler, Rıza Alp, Tari, Sibel, Ünal, Gözde   +2 more
openaire   +4 more sources

δ‐Primary Hyperideals on Commutative Hyperrings

International Journal of Mathematics and Mathematical Sciences, Volume 2017, Issue 1, 2017., 2017
The purpose of this paper is to define the hyperideal expansion. Hyperideal expansion is associated with prime hyperideals and primary hyperideals. Then, we define some of their properties. Prime and primary hyperideals’ numerous results can be extended into expansions.
Elif Ozel Ay, Gürsel Yesilot, Deniz Sonmez, Aloys Krieg   +3 more
wiley   +1 more source

Phases of Five-dimensional Theories, Monopole Walls, and Melting Crystals [PDF]

, 2014
Moduli spaces of doubly periodic monopoles, also called monopole walls or monowalls, are hyperk\"ahler; thus, when four-dimensional, they are self-dual gravitational instantons. We find all monowalls with lowest number of moduli.
Cherkis, Sergey A.
core   +2 more sources

Some Properties of Multiplicative Hv‐Rings of Polynomials over Multiplicative Hyperrings

Algebra, Volume 2014, Issue 1, 2014., 2014
The set of all polynomials R[x], over a multiplicative hyperring (R, + , ·), form a commutative group with respect to the component‐wise addition (+) of the polynomials. For polynomials f, g in R[x], f*g is a set of polynomials whose (k + 1)th components k∈N∪0 are chosen from the set ∑i+j=kai · bj, where ai and bj are the (i + 1)th and the (j + 1)th ...
Utpal Dasgupta, Andrei V. Kelarev
wiley   +1 more source

Inductive graded rings, hyperfields and quadratic forms [PDF]

Categories and General Algebraic Structures with Applications
In [6] we developed a k-theory for the category of hyperbolic hyperfields (a category that contains a copy of the category of (pre)special groups): this construction extends, simultaneously, Milnor's k-theory ([20]) and Dickmann-Miraglia's k-theory ([13])
Kaique Roberto, Hugo Mariano
doaj   +1 more source

States and Measures on Hyper BCK‐Algebras

Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014
We define the notions of Bosbach states and inf‐Bosbach states on a bounded hyper BCK‐algebra (H, ∘, 0, e) and derive some basic properties of them. We construct a quotient hyper BCK‐algebra via a regular congruence relation. We also define a ∘‐compatibled regular congruence relation θ and a θ‐compatibled inf‐Bosbach state s on (H, ∘, 0,e). By inducing
Xiao-Long Xin, Pu Wang, Baolin Wang
wiley   +1 more source

Note on Isomorphism Theorems of Hyperrings

International Journal of Mathematics and Mathematical Sciences, Volume 2010, Issue 1, 2010., 2010
There are different notions of hyperrings (R, +, ·). In this paper, we extend the isomorphism theorems to hyperrings, where the additions and the multiplications are hyperoperations.
Muthusamy Velrajan, Arjunan Asokkumar, Heinz Gumm   +2 more
wiley   +1 more source

On the relation between hyperrings and fuzzy rings [PDF]

, 2017
We construct a full embedding of the category of hyperfields into Dress's category of fuzzy rings and explicitly characterize the essential image --- it fails to be essentially surjective in a very minor way. This embedding provides an identification of
A Connes, A Dress, A Dress, A Dress, A Dress, F Marty, M Marshall, OY Viro, RA Pendavingh   +8 more
core   +1 more source

Exact category of hypermodules

International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006
It is shown, among other things, that the category of hypermodules is an exact category, thus generalizing the classical case.
A. Madanshekaf
wiley   +1 more source

Correlation Functions of Sp(2n) Invariant Higher-Spin Systems [PDF]

, 2016
We study the general structure of correlation functions in an Sp(2n)-invariant formulation of systems of an infinite number of higher-spin fields. For n=4,8 and 16 these systems comprise the conformal higher-spin fields in space-time dimensions D=4,6 and
Skvortsov, E. D., Sorokin, Dmitri, Tsulaia, Mirian   +2 more
core   +3 more sources