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Noetherianity and Combination Problems

2007
In abstract algebra, a structure is said to be Noetherian if it does not admit infinite strictly ascending chains of congruences. In this paper, we adapt this notion to first-order logic by defining the class of Noetherian theories. Examples of theories in this class are Linear Arithmetics without ordering and the empty theory containing only a unary ...
Silvio Ghilardi   +3 more
openaire   +4 more sources

Noetherian pairs and hereditarily Noetherian rings

Archiv der Mathematik, 1983
Robert Gilmer, William Heinzer
openaire   +2 more sources

Noetherian finiteness

2010
Mara Neusel, Larry Smith
openaire   +1 more source

Noetherian Full Quotient Rings

Proceedings of the London Mathematical Society, 1982
openaire   +2 more sources

Noetherian rings

2018
M. F. Atiyah, I. G. Macdonald
openaire   +2 more sources

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