Results 31 to 40 of about 398 (137)
Approximations of (∈, ∈∨qk)‐Fuzzy Hyperideals in Ordered LA‐Semihypergroups
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 This paper concerns the relationship between rough sets, (∈, ∈∨qk)‐fuzzy sets, and the LA‐semihypergroups. We proved that the lower approximation (l‐approx) and the upper approximation (u‐approx) of different hyperideals of LA‐semihypergroups become again hyperideal and also provided some examples.
Nabilah Abughazalah +3 more
wiley +1 more source
[Retracted] Topological Structures of Lower and Upper Rough Subsets in a Hyperring
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this paper, we study the connection between topological spaces, hyperrings (semi‐hypergroups), and rough sets. We concentrate here on the topological parts of the lower and upper approximations of hyperideals in hyperrings and semi‐hypergroups. We provide the conditions for the boundary of hyp‐ideals of a hyp‐ring to become the hyp‐ideals of hyp ...
Nabilah Abughazalah +3 more
wiley +1 more source
On the g-hypergroupoids associated with g-hypergraphs
Filomat, 2017 In this paper, we associate a partial g-hypergroupoid with a given g-hypergraph and analyze the properties of this hyperstructure. We prove that a g-hypergroupoid may be a commutative hypergroup without being a join space. Next, we define diagonal direct product of g-hypergroupoids.
Mehdi Farshi, Bijan Davvaz, S. Mirvakili
openalex +3 more sources
Algorithms for determining the type of algebraic hyperstructures and morphisms [PDF]
Mathematics and Computational SciencesIn this paper, we present some primary methods to define a hypergroupoid by algorithm. Then, we present algorithms for checking if it is closed under ο, associativity, weak associativity, commutativity, weak commutativity, establishing the reproduction ...
Aboutorab Pourhaghani +2 more
doaj +1 more source
Quantisation of derived Lagrangians [PDF]
, 2020 We investigate quantisations of line bundles $\mathcal{L}$ on derived Lagrangians $X$ over $0$-shifted symplectic derived Artin $N$-stacks $Y$. In our derived setting, a deformation quantisation consists of a curved $A_{\infty}$ deformation of the ...
Pridham, J. P.
core +3 more sources
Moduli stacks of algebraic structures and deformation theory [PDF]
, 2015 We connect the homotopy type of simplicial moduli spaces of algebraic structures to the cohomology of their deformation complexes. Then we prove that under several assumptions, mapping spaces of algebras over a monad in an appropriate diagram category ...
Yalin, Sinan
core +1 more source
The associated hyperringoid to a Krasner hyperring
Journal of Taibah University for Science, 2018 “Ends Lemma” is used to construct a hypergroupoid from a (quasi) partially ordered groupoid. But this lemma does not work well for creating a hyperringoid from a (partially) ordered ringoid.
H. Mirabdollahi +2 more
doaj +1 more source
A Short Note on Bands of Groups [PDF]
, 2015 In this paper we give necessary and sufficient conditions on a semigroup S that it be semilattice of groups, a normal band of groups, and a matrix of groups.DOI : http://dx.doi.org/10.22342/jims.21.1.151.19 ...
Davvaz, B. (Bijan)
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On exponentiation and multiplication of n-ary hyperalgebras [PDF]
, 2013 In the paper, a new operation of product of n-ary hyperalgebras is intro- duced and studied which lies between their direct product and the direct product of their idempotent hulls. With respect to the product introduced, we give sufficient conditions
Chaisansuk, Nitima
core +1 more source