Results 51 to 60 of about 94,022 (252)
On Homomorphisms of $AB$-algebras
Missouri Journal of Mathematical Sciences, 2019 In this study, the notion of $AB$-homomorphism of an $AB$-algebra is introduced and some of its properties are obtained. Moreover, the first and third isomorphism theorems for $AB$-algebras are investigated.
Bejarasco, Restituto D. +1 more
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On the section conjecture over fields of finite type
Mathematische Nachrichten, EarlyView.Abstract Assume that the section conjecture holds over number fields. We prove then that it holds for a broad class of curves defined over finitely generated extensions of Q$\mathbb {Q}$. This class contains every projective, hyperelliptic curve, every hyperbolic, affine curve of genus ≤2$\le 2$, and a basis of open subsets of any curve.
Giulio Bresciani
wiley +1 more source
Hom-structures on semi-simple Lie algebras
Open Mathematics, 2015 A Hom-structure on a Lie algebra (g,[,]) is a linear map σ W g σ g which satisfies the Hom-Jacobi identity: [σ(x), [y,z]] + [σ(y), [z,x]] + [σ(z),[x,y]] = 0 for all x; y; z ∈ g. A Hom-structure is referred to as multiplicative if it is also a Lie algebra
Xie Wenjuan, Jin Quanqin, Liu Wende
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Corecursive Algebras, Corecursive Monads and Bloom Monads [PDF]
Logical Methods in Computer Science, 2014 An algebra is called corecursive if from every coalgebra a unique coalgebra-to-algebra homomorphism exists into it. We prove that free corecursive algebras are obtained as coproducts of the terminal coalgebra (considered as an algebra) and free algebras.
Jiří Adámek +2 more
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Metaplectic operators with quasi‐diagonal kernels
Mathematische Nachrichten, EarlyView.Abstract Metaplectic operators form a relevant class of operators appearing in different applications, in this work we study their Schwartz kernels. Namely, diagonality of a kernel is defined by imposing rapid off‐diagonal decay conditions, and quasi‐diagonality by imposing the same conditions on the smoothing of the kernel through convolution with the
Gianluca Giacchi, Luigi Rodino
wiley +1 more source
e-Subalgebras and e-Homomorphisms of PGK2-Algebras
Journal of MathematicsThis paper is devoted for three main purposes. First, subalgebras, e-subalgebras of a principal generalized K2-algebra (PGK2-algebra), and their associated principal generalized K2-triples are studied. We prove that every GM-subalgebra, GK-subalgebra, De
Abd El-Mohsen Badawy +3 more
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T-IDEAL AND α-IDEAL OF BP-ALGEBRAS
BarekengThis paper explores the characteristics of two distinct ideal types within BP-algebra, specifically T-ideal and -ideal. Initially, we elucidate the characteristics of the T-ideal in BP-algebra, establishing its connections with the perfect, normal, and ...
Sri Gemawati +4 more
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Forum of Mathematics, Pi, 2023 We prove two theorems about the Malcev Lie algebra associated to the Torelli group of a surface of genus g: Stably, it is Koszul and the kernel of the Johnson homomorphism consists only of trivial $\mathrm {Sp}_{2g}(\mathbb {Z})$ -representations ...
Alexander Kupers, Oscar Randal-Williams
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A bigraded version of the Weil algebra and of the Weil homomorphism for Donaldson invariants
, 1994 We describe a bigraded generalization of the Weil algebra, of its basis and of the characteristic homomorphism which besides ordinary characteristic classes also maps on Donaldson invariants.Comment: 19 ...
Atiyah +14 more
core +1 more source
Asymptotic homomorphisms into the Calkin algebra [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2003 Let $A$ be a separable $C^*$-algebra and let $B$ be a stable $C^*$-algebra with a strictly positive element. We consider the (semi)group $\Ext^{as}(A,B)$ (resp. $\Ext(A,B)$) of homotopy classes of asymptotic (resp. of genuine) homomorphisms from $A$ to the corona algebra $M(B)/B$ and the natural map $i:\Ext(A,B)\ar\Ext^{as}(A,B)$.
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