Results 21 to 30 of about 1,545 (199)
Superstability of Surface Nanobubbles [PDF]
5 pages, 2 ...
Borkent, B.M. +4 more
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This paper is an important contribution to the theory of stable groups. Powerful use is made of Lascar's U-rank, enabling new results as well as generalizations of the finite rank theory to be proved for arbitrary superstable groups. From now on let G denote a (saturated) superstable group (possibly with additional structure). A fundamental observation
Chantal Berline, Daniel Lascar
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Superstability, noetherian rings and pure-semisimple rings [PDF]
We uncover a connection between the model-theoretic notion of superstability and that of noetherian rings and pure-semisimple rings. We characterize noetherian rings via superstability of the class of left modules with embeddings.
Marcos Mazari-Armida
semanticscholar +1 more source
Nearly Ring Homomorphisms and Nearly Ring Derivations on Non-Archimedean Banach Algebras
We prove the generalized Hyers-Ulam stability of homomorphisms and derivations on non-Archimedean Banach algebras. Moreover, we prove the superstability of homomorphisms on unital non-Archimedean Banach algebras and we investigate the superstability of ...
Madjid Eshaghi Gordji
doaj +1 more source
Stability and Superstability of Ring Homomorphisms on Non-Archimedean Banach Algebras
Using fixed point methods, we prove the superstability and generalized Hyers-Ulam stability of ring homomorphisms on non-Archimedean Banach algebras. Moreover, we investigate the superstability of ring homomorphisms in non-Archimedean Banach algebras ...
M. Eshaghi Gordji, Z. Alizadeh
doaj +1 more source
Isogeny in superstable groups [PDF]
We study and develop a notion of isogeny for superstable groups. We prove several fundamental properties of the notion and then use it to formulate and prove uniqueness results. Connections to existing model theoretic notions are explained.
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Superstable Theories and Representation
In this paper we give an additional characterizations of the first order complete superstable theories, in terms of an external property called representation. In the sense of the representation property, the mentioned class of first-order theories can be regarded as "not very complicated".
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On superstability in the class of flat modules and perfect rings [PDF]
We obtain a characterization of left perfect rings via superstability of the class of flat left modules with pure embeddings. $\mathbf{Theorem.}$ For a ring $R$ the following are equivalent. - $R$ is left perfect.
Marcos Mazari-Armida
semanticscholar +1 more source
Approximately Ternary Homomorphisms on C*-Ternary Algebras
Gordji et al. established the Hyers-Ulam stability and the superstability of C*-ternary homomorphisms and C*-ternary derivations on C*-ternary algebras, associated with the following functional equation: fx2-x1/3+fx1-3x3/3+f3x1+3x3-x2/3=fx1, by the ...
Eon Wha Shim +4 more
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Superstability from categoricity in abstract elementary classes [PDF]
Starting from an abstract elementary class with no maximal models, Shelah and Villaveces have shown (assuming instances of diamond) that categoricity implies a superstability-like property for nonsplitting, a particular notion of independence.
Will Boney +3 more
semanticscholar +1 more source

