Results 21 to 30 of about 4,400 (261)
Additive Maps of Rank k Bivectors
The Electronic Journal of Linear Algebra, 2021 Let ${\cal U}$ and ${\cal V}$ be linear spaces over fields $\mathbb{F}$ and $\mathbb{K}$, respectively, such that Dim$\,{\cal U}=n\geqslant 2$ and $\left|\mathbb{F}\right|\geqslant 3$. Let $\bigwedge^2{\cal U}$ be the second exterior power of ${\cal U}$. Fixing an even integer $k$ satisfying $\frac{n-1}{2}\leqslant k\leqslant n$, it is shown that a map
Chooi, Wai Leong, Kwa, Kiam Heong
openaire +3 more sources
On orthogonally additive mappings, IV
Aequationes Mathematicae, 1989 [For part II see the first author, Publ. Math. 35, No.3/4, 241-249 (1988; reviewed above).] Let \(\Phi\) denote a field of characteristic \(\neq 2\), X a \(\Phi\)-vector space of dimension \(\geq 2\) and \((Y,+)\) an abelian group. Furthermore let \(\perp\), which is called orthogonality on X, be a binary relation satisfying certain appropriate ...
Rätz, J., Szabó, Gy.
openaire +1 more source
Multiplicative Mappings of Gamma Rings
Cumhuriyet Science Journal, 2019 Let Mi and Γi (i = 1, 2) be abelian groups such that Mi is a Γi-ring.An ordered pair (ϕ, φ) of mappings is called a multiplicative isomorphismof M1 onto M2 if they satisfy the following properties: (i) ϕ is a bijectivemapping from M1 onto M2, (ii) φ is a
Bruno Ferreira, Ruth N. Ferreira
doaj +1 more source
Additivity of maps on triangular algebras
The Electronic Journal of Linear Algebra, 2008 11 ...
Cheng, Xuehan, Jing, Wu
openaire +2 more sources
Axioms, 2023 In this article, we apply a new class of fuzzy control functions to approximate a Cauchy additive mapping in fuzzy Banach space (FBS). Further, considering the unital FBS (UFBS), we will investigate the isomorphisms defined in this space.
Zahra Eidinejad +2 more
doaj +1 more source
A Rickart-Like Theorem for the Additivity of Multiplicative Maps on Rings
Journal of Mathematics, 2022 Rickart’s theorem states that every bijective multiplicative mapping of a Boolean ring R onto an arbitrary ring S is necessarily additive. We prove a version of Rickart’s theorem for non-bijective mappings.
Bana Al Subaiei, Noômen Jarboui
doaj +1 more source
Journal of Mathematical Analysis and Applications, 2004 A map \(f\) between Abelian topological groups is called quasi-additive if the function of two variables \(f(x+y)-f(x)-f(y)\) is continuous at the origin. Obvious examples are additive maps, maps which are continuous at the origin, and sums of such maps.
openaire +1 more source
Compatibilities between continuous semilattices
Karpatsʹkì Matematičnì Publìkacìï, 2021 We define compatibilities between continuous semilattices as Scott continuous functions from their pairwise cartesian products to $\{0,1\}$ that are zero preserving in each variable.
O.Ya. Mykytsey, K.M. Koporkh
doaj +1 more source
Additive Realizations of Asymptotically Additive Set Maps
Communications in Mathematical PhysicsGiven a countable discrete amenable group, we study conditions under which a set map into a Banach space (or more generally, a complete semi-normed space) can be realized as the ergodic sum of a vector under a group representation, such that the realization is asymptotically indistinguishable from the original map.
Raimundo Briceño, Godofredo Iommi
openaire +2 more sources
Generalized Hyers–Ulam stability of mixed-type additive-quartic mappings in 2-Banach spaces
Demonstratio MathematicaThis paper aims to explore the stability of a mixed-type additive-quartic functional equation in 2-Banach spaces via the direct method. We categorize mappings satisfying a certain functional inequality into odd, even, and general mappings, and establish ...
Ponmana Selvan Arumugam +2 more
doaj +1 more source