Bookcover of Model Theory and Near Rings
Booktitle:

Model Theory and Near Rings

LAP LAMBERT Academic Publishing (2013-05-24 )

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ISBN-13:

978-3-659-35820-3

ISBN-10:
3659358207
EAN:
9783659358203
Book language:
English
Blurb/Shorttext:
We recall some basic notions and facts from model theory. Let L be the fi…rst order language of near-rings. Two near-rings R and S are called elementarily equivalent if R and S satisfy the same fi…rst order sentences in L: A class C of near-rings is called elementarily closed if R is elementary equivalent to S; S belongs to C then R belongs to C. A class C of near-rings is called axiomatisable if C can be defi…end by a family of …first order sentences in L. Also a class C is axiomatisable if C is elementarily closed and closed under the formation of ultra products. Further, a class C of near-rings is called fi…nitely axiomatisable if can be defi…end by a fi…rst order sentence in L. The fi…nitely axiomatisable classes can be characterized as follows : a class C of near-rings is fi…nitely axiomatisable if it is axiomatisable and the class of near-rings not in C is closed under formation of ultra products.
Publishing house:
LAP LAMBERT Academic Publishing
Website:
https://www.lap-publishing.com/
By (author) :
Ahmed Yunis Abdelwanis
Number of pages:
68
Published on:
2013-05-24
Stock:
Available
Category:
Arithmetic, Algebra
Price:
39.90 €
Keywords:
abstract, Affine, near rings, Model theory

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