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Noetherianity and Combination Problems
2007In 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
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Noetherian pairs and hereditarily Noetherian rings
Archiv der Mathematik, 1983Robert Gilmer, William Heinzer
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Noetherian Full Quotient Rings
Proceedings of the London Mathematical Society, 1982openaire +2 more sources
Commutative Algebra: Noetherian and non-Noetherian Perspectives
2011FONTANA, Marco +3 more
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