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Note on Isomorphism Theorems of Hyperrings
Muthusamy Velrajan,Arjunan Asokkumar
International Journal of Mathematics and Mathematical Sciences , 2010, DOI: 10.1155/2010/376985
Abstract: There are different notions of hyperrings (,
On presimplifiable group rings  [PDF]
Omar Al-mallah
Mathematics , 2014,
Abstract: A ring A is called presimplifiable if whenever a; b belongs to A and a = ab, then either a = 0 or b is a unit in A. Let A be a commutative ring and G be an abelian torsion group. For the group ring A[G], we prove that A[G] is presimplifiable if and only if A is presimplifiable and G is a p-group with p belongs to the Jacobson radical of A, and it is shown that A[G] is domainlike (i.e all zero divisors are nilpotents) if and only if A is domainlike and G is a p-group and p is a nilpotent in A. Furthermore, whenever the group ring A[G] is presimpli?able we prove that A[H] is presimplifiable for any subgroup H of G. Also, for a torsion free group G we prove that A[G] is domainlike if and only if A[G] is integral domain.
Algebraic Geometry Over Hyperrings  [PDF]
Jaiung Jun
Mathematics , 2015,
Abstract: We develop basic notions and methods of algebraic geometry over the algebraic objects called hyperrings. Roughly speaking, hyperrings generalize rings in such a way that an addition is `multi-valued'. This paper largely consisits of two parts; algebraic aspects and geometric aspects of hyperrings. We first investigate several technical algebraic properties of a hyperring. In the second part, we begin by giving another interpretation of a tropical variety as an algebraic set over the hyperfield which canonically arises from a totally ordered semifield. Then we define a notion of an integral hyperring scheme $(X,\mathcal{O}_X)$ and prove that $\Gamma(X,\mathcal{O}_X)\simeq R$ for any integral affine hyperring scheme $X=Spec R$.
A class of hyperrings and hyperfields
Marc Krasner
International Journal of Mathematics and Mathematical Sciences , 1983, DOI: 10.1155/s0161171283000265
Abstract: Hyperring is a structure generalizing that of a ring, but where the addition is not a composition, but a hypercomposition, i.e., the sum x+y of two elements, x,y, of a hyperring H is, in general, not an element but a subset of H. When the non-zero elements of a hyperring form a multiplicative group, the hyperring is called a hyperfield, and this structure generalizes that of a field. A certain class of hyperfields (residual hyperfields of valued fields) has been used by the author [1] as an important technical tool in his theory of approximation of complete valued fields by sequences of such fields. Tne non-commutative theory of hyperrings (particularly Artinian) has been studied in depth by Stratigopoulos [2].
Fuzzy Isomorphism Theorems of Hyperrings
超环的模糊同构定理

MA Xueling,ZHAN Jianming,
马学玲
,詹建明

系统科学与数学 , 2008,
Abstract: The concept of normal fuzzy hyperideals of hyperrings is introduced and then some fuzzy isomorphism theorems of hyperrings is obtained by normal fuzzy hyperideals.
Associate and conjugate minimal immersions in MxR  [PDF]
Laurent Hauswirth,Ricardo Sa Earp,Eric Toubiana
Mathematics , 2005,
Abstract: We consider minimal immersions in MxR. We study existence and uniqueness of associate and conjugate isometric immersions to a given minimal surface. We use the theory of univalent harmonic map between surfaces. Then we study the geometry of associate minimal vertical graphs. We prove that an associate surface of a vertical graph on a convex domain is a graph. In the classical theory it is a theorem of R. Krust.
Introducing JETWI Associate Editor-in-Chiefs
Sabah Mohammed
Journal of Emerging Technologies in Web Intelligence , 2009, DOI: 10.4304/jetwi.1.1.3-5
Abstract: I am pleased to introduce the distinguished Associate Editor-in-Chiefs of the JETWI. Sabah Mohammed Editor-in-Chief August 2009
The Development of Associate Learning in School Age Children  [PDF]
Brian T. Harel, Robert H. Pietrzak, Peter J. Snyder, Elizabeth Thomas, Linda C. Mayes, Paul Maruff
PLOS ONE , 2014, DOI: 10.1371/journal.pone.0101750
Abstract: Associate learning is fundamental to the acquisition of knowledge and plays a critical role in the everyday functioning of the developing child, though the developmental course is still unclear. This study investigated the development of visual associate learning in 125 school age children using the Continuous Paired Associate Learning task. As hypothesized, younger children made more errors than older children across all memory loads and evidenced decreased learning efficiency as memory load increased. Results suggest that age-related differences in performance largely reflect continued development of executive function in the context of relatively developed memory processes.
Introducing the New Associate Editor-in-Chief  [cached]
Sabah Mohammed
Journal of Emerging Technologies in Web Intelligence , 2010, DOI: 10.4304/jetwi.2.3.157-157
Abstract: I am happy to welcome the new Associate Editor-in-Chief of the JETWI, Dr. Jiehan Zhou, to the editorial board. Sabah Mohammed Editor-in-Chief August 2010
Introducing the Associate Editor-in-Chiefs  [cached]
A.C.M. Fong
Journal of Advances in Information Technology , 2010, DOI: 10.4304/jait.1.1.2-2
Abstract: I am pleased to introduce the distinguished Associate Editor-in-Chiefs of the JAIT. A.C.M. Fong Editor-in-Chief February 2010
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