Minimal and maximal ideals in rings with involution.
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Birkenmeier, Gary F., Groenewald, Nico J., Heatherly, Henry E. (1997)
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We prove that a real or complex F-algebra has all left and right ideals closed if and only if it is noetherian.
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CONTENTSPreface.............................................................................................. 5Chapter I. Preliminaries................................................................. 61. Notation and terminology.......................................................... 62. Results from the literature......................................................... 93. Definitions and basic properties.............................................. 11Chapter II. Subnormality and...
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We give an effective procedure to find minimal bases for ideals of the ring of polynomials over the integers.
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This note is devoted to combinatorial properties of ideals on the set of natural numbers. By a result of Mathias, two such properties, selectivity and density, in the case of definable ideals, exclude each other. The purpose of this note is to measure the ``distance'' between them with the help of ultrafilter topologies of Louveau.
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