منابع مشابه
Do Isomorphic Structural Matrix Rings Have Isomorphic Graphs?
We first provide an example of a ring R such that all possible 2 × 2 structural matrix rings over R are isomorphic. However, we prove that the underlying graphs of any two isomorphic structural matrix rings over a semiprime Noetherian ring are isomorphic, i.e. the underlying Boolean matrix B of a structural matrix ring M(B,R) over a semiprime Noetherian ring R can be recovered, contrary to the ...
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Dye, [Ann. of Math. (2) 61 (1955), 73–89] proved that the discrete unitary group in a factor determines the algebraic type of the factor. Afterwards, for a large class of simple unital C∗-algebras, Al-Rawashdeh, Booth and Giordano [J. Funct. Anal. 262 (2012), 4711–4730] proved that the algebras are ∗-isomorphic if and only if their unitary groups are isomorphic as abstract groups. In this paper...
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It is examined in several papers when is it true the isomorphism of two cylindric set algebras is a base-isomorphism. Problem 1. For which M ∈ CAα it is true that if for i = 0 and i = 1 Di ∈ Caα, f i : M→Di is an isomorphisms, and base Di = Vi imply that there exists a bijection g : V0 → V1 such that g = f1 ◦ f −1 0 (for notations and notions see [3] and [5]). By the Löwenheim-Skolem theorem th...
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Uncountably many mutually non-isomorphic product systems (that is, continuous tensor products of Hilbert spaces) of types II0 and III are constructed by probabilistic means (random sets and off-white noises), answering four questions of W. Arveson.
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We report on a case study on combining proof planning with computer algebra systems. We construct proofs for basic algebraic properties of residue classes as well as for isomorphisms between residue classes using di erent proving techniques, which are implemented as strategies in a multi-strategy proof planner. We show how these techniques help to successfully derive proofs in our domain and ex...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1976
ISSN: 0021-8693
DOI: 10.1016/0021-8693(76)90135-6