Results 71 to 80 of about 1,049 (188)
Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons
Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
wiley +1 more source
𝒩-Subalgebras in BCK/BCI-Algebras Based on Point 𝒩-Structures
The notion of 𝒩-subalgebras of several types is introduced, and related properties are investigated. Conditions for an 𝒩-structure to be an 𝒩-subalgebra of type (q,∈⋁ q) are provided, and a characterization of an 𝒩 ...
Young Bae Jun +2 more
doaj +1 more source
Generalized free wreath products and their operator algebras
Abstract We develop a new approach on free wreath products, generalizing the constructions of Bichon and of Fima‐Pittau. We show stability properties for certain approximation properties such as exactness, Haagerup property, hyperlinearity, and K‐amenability. We study qualitative properties of the associated von Neumann algebra: factoriality, primeness,
Pierre Fima, Arthur Troupel
wiley +1 more source
Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic
Abstract We prove that the (twisted orbifold) motives of the moduli spaces of SLn$\mathrm{SL}_n$ and PGLn$\mathrm{PGL}_n$‐Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives.
Victoria Hoskins, Simon Pepin Lehalleur
wiley +1 more source
Cubic Interval-Valued Intuitionistic Fuzzy Sets and Their Application in BCK/BCI-Algebras
As a new extension of a cubic set, the notion of a cubic interval-valued intuitionistic fuzzy set is introduced, and its application in B C K / B C I -algebra is considered. The notions of α -internal, β -internal, α -external and
Young Bae Jun +2 more
doaj +1 more source
Degree estimate for subalgebras
Based on Bergman's Lemma on centralizers, we obtain a sharp lower degree bound for nonconstant elements in a subalgebra generated by two elements of a free associative algebra over an arbitrary field.
Yu, JT, Li, YC
openaire +4 more sources
On the Strong Atoms of Q-Algebras
The concept of strong atoms in Q-algebras is discussed herein. In this work, some properties of strong atoms are provided. We show that there is no Q-algebra X with |X|≥3 such that all elements are strong atoms.
Kittisak Saengsura +2 more
doaj +1 more source
Graded subalgebras associated with a subalgebra of a graded free lie algebra
If \(L=\oplus_{n\geq 1}L^ n\) is a graded free Lie algebra over a field K and A is a subalgebra of L, let gr A (resp. Gr A) denote the subalgebra of L generated by the homogeneous components of minimum (resp. maximum) degree of elements of A. It is shown that for any positive integer r, gr \(A_ r=(gr A)_ r\) and Gr \(A_ r=(Gr A)_ r\) where \(B_ r ...
openaire +3 more sources
On the (De)homogenization of Sagbi Bases
In this paper we study the relation between nonhomogeneous and homogeneous Sagbi bases. As a consequence, we present a general prin- ciple of computing Sagbi bases of a subalgebra and its homogenized subalgebra, which is based on passing over to ...
Khan Junaid Alam
doaj +1 more source
Foldness of Bipolar Fuzzy Sets and Its Application in BCK/BCI-Algebras
Recent trends in modern information processing have focused on polarizing information, and and bipolar fuzzy sets can be useful. Bipolar fuzzy sets are one of the important tools that can be used to distinguish between positive information and negative ...
Young Bae Jun, Seok-Zun Song
doaj +1 more source

