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  1. Acta Mathematica Sinica, English Series
  2. Acta Mathematica Sinica, English Series : Volume 24
  3. Acta Mathematica Sinica, English Series : Volume 24, Issue 7, July 2008
  4. ∂-operations and H V -fields
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Acta Mathematica Sinica, English Series : Volume 32
Acta Mathematica Sinica, English Series : Volume 31
Acta Mathematica Sinica, English Series : Volume 30
Acta Mathematica Sinica, English Series : Volume 29
Acta Mathematica Sinica, English Series : Volume 28
Acta Mathematica Sinica, English Series : Volume 27
Acta Mathematica Sinica, English Series : Volume 26
Acta Mathematica Sinica, English Series : Volume 25
Acta Mathematica Sinica, English Series : Volume 24
Acta Mathematica Sinica, English Series : Volume 24, Issue 12, December 2008
Acta Mathematica Sinica, English Series : Volume 24, Issue 11, November 2008
Acta Mathematica Sinica, English Series : Volume 24, Issue 10, October 2008
Acta Mathematica Sinica, English Series : Volume 24, Issue 9, September 2008
Acta Mathematica Sinica, English Series : Volume 24, Issue 8, August 2008
Acta Mathematica Sinica, English Series : Volume 24, Issue 7, July 2008
The dirichlet form of a gradient-type drift transformation of a symmetric diffusion
∂-operations and H V -fields
Existence of multiple fixed points for nonlinear operators and applications
Projections onto invariant subspaces of some banach algebras
Hochschild (Co)homology of a class of Nakayama algebras
Necessary and sufficient conditions for expansions of Wilson type
Characterizability of the group 2 D p(3) by its order components, where p ≥ 5 is a prime number not of the form 2 m + 1
On conditionally positive definite dot product kernels
An operator Arzelà-Ascoli theorem
A family of non-quasiprimitive graphs constructed from PSU3(q) where q is odd
Dominated splitting versus small angles
Energy decay for the elastic wave equation with a local time-dependent nonlinear damping
On generalized inverse transversals
On the space bv p (F) of sequences of p-bounded variation of fuzzy numbers
K-factors in regular graphs
On the supercyclicity and hypercyclicity of the operator algebra
Acta Mathematica Sinica, English Series : Volume 24, Issue 6, June 2008
Acta Mathematica Sinica, English Series : Volume 24, Issue 5, May 2008
Acta Mathematica Sinica, English Series : Volume 24, Issue 4, April 2008
Acta Mathematica Sinica, English Series : Volume 24, Issue 3, March 2008
Acta Mathematica Sinica, English Series : Volume 24, Issue 2, February 2008
Acta Mathematica Sinica, English Series : Volume 24, Issue 1, January 2008
Acta Mathematica Sinica, English Series : Volume 23
Acta Mathematica Sinica, English Series : Volume 22
Acta Mathematica Sinica, English Series : Volume 21
Acta Mathematica Sinica, English Series : Volume 20
Acta Mathematica Sinica, English Series : Volume 19
Acta Mathematica Sinica, English Series : Volume 18
Acta Mathematica Sinica, English Series : Volume 17
Acta Mathematica Sinica, English Series : Volume 16
Acta Mathematica Sinica, English Series : Volume 15
Acta Mathematica Sinica, English Series : Volume 14
Acta Mathematica Sinica, English Series : Volume 13

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∂-operations and H V -fields

Content Provider Springer Nature Link
Author Vougiouklis, Thomas
Copyright Year 2008
Abstract The hyperoperations, called theta-operations (∂), are motivated from the usual property, which the derivative has on the derivation of a product of functions. Using any map on a set, one can define ∂-operations. In this paper, we continue our study on the ∂-operations on groupoids, rings, fields and vector spaces or on the corresponding hyperstructures. Using ∂-operations one obtains, mainly, H V -structures, which form the largest class of the hyperstructures. For representation theory of hyperstructures, by hypermatrices, one needs special H V -rings or H V -fields, so these hyperstructures can be used. Moreover, we study the relation of these ∂-structures with other classes of hyperstructures, especially with the H V -structures.
Ending Page 1078
Page Count 12
Starting Page 1067
File Format PDF
ISSN 14398516
e-ISSN 14397617
Journal Acta Mathematica Sinica, English Series
Issue Number 7
Volume Number 24
Language English
Publisher Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Publisher Date 2008-07-11
Publisher Place Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Hypergroups hyperstructures H V -structures Mathematics
Content Type Text
Resource Type Article
Subject Applied Mathematics
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