Results 31 to 40 of about 109 (103)

Ultraproducts of von Neumann algebras and ergodicity

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2018
An ultraproduct of any linear spaces with respect of a non-trivial ultrafilter in an index set is generalization of the non-standard expansion *R of the set of real numbers R.
S.G. Haliullin
doaj  

Formal model theory and higher topology

open access: yesMathematical Logic Quarterly, Volume 70, Issue 1, Page 111-125, February 2024.
Abstract We study the 2‐categories BIon, of (generalized) bounded ionads, and Accω$\text{Acc}_\omega$, of accessible categories with directed colimits, as an abstract framework to approach formal model theory. We relate them to topoi and (lex) geometric sketches, which serve as categorical specifications of geometric theories. We provide reconstruction
Ivan Di Liberti
wiley   +1 more source

Ultraproduct for Quantum Structures

open access: yesLogic and Logical Philosophy, 2018
Quantum Kripke frames are certain quantum structures recently introduced by Zhong. He has defined certain properties such as Existence of Approximation and Superposition for these structures. In this paper, we define the ultraproduct for the family of quantum Kripke frames and show that the aforementioned properties are invariant under ultraproduct. In
Moniri, Morteza, Shirinkalam, Elahe
openaire   +2 more sources

Word maps with constants on symmetric groups

open access: yesMathematische Nachrichten, Volume 297, Issue 1, Page 165-173, January 2024.
Abstract We study word maps with constants on symmetric groups. Even though there are non‐trivial mixed identities of bounded length that are valid for all symmetric groups, we show that no such identities can hold in the limit in a metric sense. Moreover, we prove that word maps with constants and non‐trivial content, that are short enough, have an ...
Jakob Schneider, Andreas Thom
wiley   +1 more source

On elementarity of radical classes of modules over noncommutative dedekind duo-domains

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2012
We find some sufficient conditions for a radical class of an idempotent radical in the category of modules over a Dedekind left bounded duo-domain to be axiomatizable. In the case of the integer numbers ring this result implies the Gorbachuk-Komarnitskii
Y.T Bilyak, M.Ya Komarnitskii
doaj  

Closures and generating sets related to combinations of structures

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2016
We investigate closure operators and describe their properties for $E$-combinations and $P$-combinations of structures and their theories including the negation of finite character and the exchange property.
S. Sudoplatov
doaj  

Positive logics. [PDF]

open access: yesArch Math Log, 2023
Shelah S, Väänänen J.
europepmc   +1 more source

Banach Space Ultraproducts

open access: yesIrish Mathematical Society Bulletin, 1987
This note presents a useful tool in Banach space theory: ultraproducts of Banach spaces. These provide a uniform method for manufacturing locally similar Banach spaces. In this way they relate local (finite dimensional) and global (infinite dimensional) structure.
openaire   +2 more sources

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