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Topological Representation of Algebras [PDF]
Richard Arens, Irving Kaplansky
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The representation of Boolean algebras [PDF]
M. H. Stone
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Algebras with representable representations [PDF]
AbstractJust like group actions are represented by group automorphisms, Lie algebra actions are represented by derivations: up to isomorphism, a split extension of a Lie algebra $B$ by a Lie algebra $X$ corresponds to a Lie algebra morphism $B\to {\mathit {Der}}(X)$ from $B$ to the Lie algebra ${\mathit {Der}}(X)$ of derivations on $X$. In this article,
X. García-Martínez+3 more
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Modular representation algebras [PDF]
T. A. Hannula+2 more
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Induced 3-Lie algebras, superalgebras and induced representations [PDF]
We construct 3-Lie superalgebras on a commutative superalgebra by means of involution and even degree derivation. We construct a representation of induced 3-Lie algebras and superalgebras by means of a representation of initial (binary) Lie algebra ...
Viktor Abramov, Priit Lätt
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An algebraic approach to the design of resource-efficient carbon-reinforced concrete structures is presented. Interdisciplinary research in the fields of mathematics and algebra on the one hand and civil engineering and concrete structures on the other ...
Sascha Stüttgen+5 more
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Representation of semi-simple algebraic algebras
Andrew B. Carson
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Representability In Lambda Algebras [PDF]
Summary§ 1 is concerned with the term model of the α-calculus. It is proved that Church's δ is not dofinable and that the definable functions into the numerals are constant. In § 2 it is proved that for several α-algebras the range of a representable function is either a singleton or infinite.
Bergstra, J.A.+3 more
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On Representations of Bol Algebras [PDF]
In this paper, we introduce the notion of representation of Bol algebra. We prove an analogue of the classical Engel's theorem and the ex- tension of Ado-Iwasawa theorem for Bol Algebras. We study the category of representations of Bol algebras and show that it is a tensor category.
Ndoune, N, Bouetou Bouetou, T
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On incidence algebras and their representations [PDF]
progress history: v1: preliminary version; v2: two applications added to the preliminary version; updated references, intro and fixed typos; acknowledgment added; v3: application to no-gap problem added; v4: the applications to graphs and linear algebra added; v5: application to the classification of thin modules over any finite dimensional algebra ...
Iovanov, Miodrag C., Koffi, Gerard D.
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