In model theory, a discipline within mathematical logic, an abstract elementary class, or AEC for short, is a class of models with a partial order similar to the relation of an elementary substructure of an elementary class in first-order model theory. They were introduced by Saharon Shelah.[1]
^Shelah 1987.
and 25 Related for: Abstract elementary class information
logic, an abstractelementaryclass, or AEC for short, is a class of models with a partial order similar to the relation of an elementary substructure...
3-amino-9-ethylcarbazole, an immunohistochemistry stain (chromogen) Abstractelementaryclass, in mathematical logic Acoustic echo cancellation, in telephony...
stability is studied are abstractelementaryclasses, which are defined by a strong substructure relation generalising that of an elementary substructure. Even...
term abstract algebra was coined in the early 20th century to distinguish it from older parts of algebra, and more specifically from elementary algebra...
generalized to other similar objects in the same class. The main disadvantage of abstraction is that highly abstract concepts are more difficult to learn, and...
beyond the setting of complete first-order theories, such as in abstractelementaryclasses. Stability spectrum Spectrum of a theory Morley's categoricity...
sometimes used in a more narrow sense to refer only to elementary algebra or only to abstract algebra. When used as a countable noun, an algebra is a...
North-Holland. Shelah, Saharon (2009). Classification theory for abstractelementaryclasses. College Publications. ISBN 978-1-904987-71-0. Peretz, Assaf...
Look up Appendix:Glossary of abstract algebra in Wiktionary, the free dictionary. Abstract algebra is the subject area of mathematics that studies algebraic...
applicable; for debugging or even the certification of programs against classes of bugs. Abstract interpretation was formalized by the French computer scientist...
Vasey, new understanding of frames in AECs and forking (in the abstractelementaryclass setting) has been obtained. Some of Grossberg's work may be understood...
A mathematical object is an abstract concept arising in mathematics. In the usual language of mathematics, an object is anything that has been (or could...
in M. If N is an elementary substructure of M, then M is called an elementary extension of N. An embedding h: N → M is called an elementary embedding of N...
for Elementary Teachers: A Contemporary Approach. John Wiley & Sons. p. 87. ISBN 978-1-118-48700-6. Hall, F. M. (1972). An Introduction to Abstract Algebra...
In abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known...
in 2002. Her dissertation was Categoricity and Stability in AbstractElementaryClasses, with Rami Grossberg as her doctoral advisor. After completing...
needed] Set theory as a foundation for mathematical analysis, topology, abstract algebra, and discrete mathematics is likewise uncontroversial; mathematicians...
In mathematical logic, an abstract logic is a formal system consisting of a class of sentences and a satisfaction relation with specific properties related...
} (cf. Segre class#Example 2.) We can use these abstract properties to compute the rest of the chern classes of line bundles on C P 1 {\displaystyle...
complexity class NP and yield insights into cryptography, approximation algorithms, and formal verification. Interactive proof systems are abstract machines...
names of elementary music theory: 0 = C, 1 = C♯/D♭, 2 = D, 2.5 = D (quarter tone sharp), 3 = D♯/E♭, and so on. In this system, pitch classes represented...
Heijenoort's commentary and Post's 1931 Introduction to a general theory of elementary propositions in van Heijenoort 1967, pp. 264ff. Also Tarski 1946, pp. 134ff...
Global Information