Model Theory and Near Rings


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  • Product Description

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.

Product Specifications
SKU :COC67603
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
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