Results 21 to 30 of about 1,475,338 (284)
An encoding of partial algebras as total algebras [PDF]
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Quiver Varieties, Category O for Rational Cherednik Algebras, and Hecke Algebras [PDF]
We relate the representations of the rational Cherednik algebras associated with the complex reflection group S-n x (mu e)(n) to sheaves on Nakajima quiver varieties associated with extended Dynkin graphs via a Z-algebra construction.
Gordon, I. G.
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On RM-algebras with an additional condition [PDF]
In this paper, we apply a new condition to RM-algebras. We obtain some relations among this condition with another axioms in some algebras of logic and some examples are given to illustrate them. %It is proved We prove that the relation derived from this
Akbar Rezaei
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COMPUTABILITY IN PARTIAL COMBINATORY ALGEBRAS [PDF]
AbstractWe prove a number of elementary facts about computability in partial combinatory algebras (pca’s). We disprove a suggestion made by Kreisel about using Friedberg numberings to construct extensional pca’s. We then discuss separability and elements without total extensions.
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IDENTITIES IN THE ALGEBRA OF PARTIAL MAPS [PDF]
We consider the identities of a variety of semigroup-related algebras modelling the algebra of partial maps. We show that the identities are intimately related to a weak semigroup deductive system and we show that the equational theory is decidable. We do this by giving a term rewriting system for the variety.
Marcel Jackson, Timothy Stokes 0001
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Automorphisms of real Lie algebras of dimension five or less [PDF]
The Lie algebra version of the Krull-Schmidt Theorem is formulated and proved. This leads to a method for constructing the automorphisms of a direct sum of Lie algebras from the automorphisms of its indecomposable components.
Gray, RJ +8 more
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Research on Partial Ordered Sets That Can Be Constructed as Effect Algebras
In this paper, we study effect algebra-induced partial ordered sets. All possible cases of effect algebras generated by bounded partial ordered set MI of height 2 are given.
Hai-feng Zhang, Meng Zhou
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Unbounded C*-seminorms, biweights, and *-representations of partial *-algebras: A review
The notion of (unbounded) C*-seminorms plays a relevant role in the representation theory of *-algebras and partial *-algebras. A rather complete analysis of the case of *-algebras has given rise to a series of interesting concepts like that of ...
Camillo Trapani
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Partial *-algebras were introduced by \textit{J.-P. Antoine} and \textit{W. Karwowski} [Publ. Res. Inst. Math. Sci. 21, 205-236 (1985; Zbl 0609.47058)] and studied by two of the authors with F. Mathot and A. Inoue in a sequence of papers. These algebras may include closable unbounded operators. In the present paper certain sesquilinear forms on partial
Antoine, J.P., Soulet, Y., Trapani, C.
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Monoids with tests and the algebra of possibly non-halting programs [PDF]
We study the algebraic theory of computable functions, which can be viewed as arising from possibly non-halting computer programs or algorithms, acting on some state space, equipped with operations of composition, if-then-else and while-do defined in ...
Marcel Jackson +3 more
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