Results 11 to 20 of about 146,627 (253)
On a Graph Associated to UP-Algebras
Mathematical and Computational Applications, 2018 In this article, we introduce the concept of graphs associated with commutative UP-algebra, which we say is a UP-graph whose vertices are the elements of commutative UP-algebra and whose edges are the association of two vertices, that is two elements ...
Moin A. Ansari +2 more
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Commutative subalgebras of the algebra of smooth operators [PDF]
, 2015 We consider the Fr\'echet ${}^*$-algebra $L(s',s)$ of the so-called smooth operators, i.e. continuous linear operators from the dual $s'$ of the space $s$ of rapidly decreasing sequences into $s$. This algebra is a non-commutative analogue of the algebra
Ciaś, Tomasz
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Quasi-Commutative Algebras [PDF]
Applied Categorical Structures, 2008 We characterise algebras commutative with respect to a Yang-Baxter operator (quasi-commutative algebras) in terms of certain cosimplicial complexes. In some cases this characterisation allows the classification of all possible quasi-commutative structures.
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Invariants in Non-Commutative Variables of the Symmetric and Hyperoctahedral Groups [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We consider the graded Hopf algebra $NCSym$ of symmetric functions with non-commutative variables, which is analogous to the algebra $Sym$ of the ordinary symmetric functions in commutative variables.
Anouk Bergeron-Brlek
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The commutative core of a Leavitt path algebra [PDF]
, 2018 For any unital commutative ring $R$ and for any graph $E$, we identify the commutative core of the Leavitt path algebra of $E$ with coefficients in $R$, which is a maximal commutative subalgebra of the Leavitt path algebra.
Canto, Cristóbal Gil +1 more
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Half-commutative orthogonal Hopf algebras [PDF]
, 2012 A half-commutative orthogonal Hopf algebra is a Hopf *-algebra generated by the self-adjoint coefficients of an orthogonal matrix corepresentation $v=(v_{ij})$ that half commute in the sense that $abc=cba$ for any $a,b,c \in \{v_{ij}\}$.
Bichon, Julien, Dubois-Violette, Michel
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Combinatorial Hopf algebras from renormalization [PDF]
, 2009 In this paper we describe the right-sided combinatorial Hopf structure of three Hopf algebras appearing in the context of renormalization in quantum field theory: the non-commutative version of the Fa\`a di Bruno Hopf algebra, the non-commutative version
Alessandra Frabetti +15 more
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Ring homomorphisms on real Banach algebras
International Journal of Mathematics and Mathematical Sciences, 2003 Let B be a strictly real commutative real Banach algebra with the carrier space ΦB. If A is a commutative real Banach algebra, then we give a representation of a ring homomorphism ρ:A→B, which needs not be linear nor continuous.
Takeshi Miura, Sin-Ei Takahasi
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Barekeng, 2013 These notes in this paper will discuss about C*-algebras commutative and its properties. The theory of algebra-*, Banach-* algebra, C*-algebras and *-homomorphism are included. We also give some examples of commutative C*-algebras.
Harmanus Batkunde
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Commutator Leavitt Path Algebras [PDF]
Algebras and Representation Theory, 2012 For any field K and directed graph E, we completely describe the elements of the Leavitt path algebra L_K(E) which lie in the commutator subspace [L_K(E),L_K(E)]. We then use this result to classify all Leavitt path algebras L_K(E) that satisfy L_K(E)=[L_K(E),L_K(E)].
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