Results 11 to 20 of about 26,193 (159)
Non-separable AF-algebras [PDF]
We give two pathological phenomena for non-separable AF-algebras which do not occur for separable AF-algebras. One is that non-separable AF-algebras are not determined by their Bratteli diagrams, and the other is that there exists a non-separable AF ...
Katsura, Takeshi
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Algebraic separation logic [PDF]
Separation logic is an extension of Hoare logic with reasoning about complex and shared data structures by added assertions to express separation between memory regions. For arbitrary assertions \( p\) and \(q\) the conjunction \(p \star q\) asserts that \(p\) and \(q\) both hold, but each for separate parts of the storage, and \(p-\star q\) holds for ...
Dang, Han Hing +2 more
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Separating Function Algebras [PDF]
Recent results of Hoffman and Singer [7], Weiss [10] and Wilken [11] indicate that the study of separation properties play a central rôle in the theory of function algebras. Our purpose in this paper is to investigate a natural separation property of function algebras.
Csordas, G. L., Reiter, H. B.
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Separately continuous algebras
An ordered algebra is separately \(\Delta\)-continuous if it has directed joins, and the operations preserve these joins in each variable separately. For infinitary signatures, free separately \(\Delta\)- continuous algebras are proved not to exist, in contrast with the jointly continuous algebras [see \textit{E. Nelson}, Lect. Notes Math. 871, 315-334
Jirí Adámek, Evelyn Nelson
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On Orders In Separable Algebras [PDF]
Introduction. The present note began from the observation that the arguments produced by J-M. Maranda in developing his very interesting theory of representations of groups by automorphisms of modules over Dedekind rings (4, 5) were applicable without essential change to arbitrary orders, instead of just group rings, provided that a suitable ...
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On algebraic abstractions for concurrent separation logics [PDF]
Concurrent separation logic is distinguished by transfer of state ownership upon parallel composition and framing. The algebraic structure that underpins ownership transfer is that of partial commutative monoids (PCMs). Extant research considers ownership transfer primarily from the logical perspective while comparatively less attention is drawn to the
Frantisek Farka +4 more
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Separable algebras over a commutative Banach algebra [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Craw, Ian, Ross, Susan
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Orders in separable algebras [PDF]
The module P ∗ / m P ∗ {P^ \ast }/m{P^ \ast } , where P P is an order in a separable algebra over the quotient field of an integrally closed, quasi-local domain, is studied.
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Towards Algebraic Separation Logic [PDF]
We present an algebraic approach to separation logic. In particular, we give algebraic characterisations for all constructs of separation logic. The algebraic view does not only yield new insights on separation logic but also shortens proofs and enables the use of automated theorem provers for verifying properties at a more abstract level.
Dang, Han Hing +2 more
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Separability idempotents in $C^*$-algebras [PDF]
In this paper, we study the notion of a separability idempotent in the C^* -algebra framework. This is analogous to the notion in the purely algebraic setting, typically considered in the case of (finite ...
Kahng, Byung-Jay, Van Daele, Alfons
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