A note on unions of ideals and cosets of ideals.
Zandt, Michael (1995)
Beiträge zur Algebra und Geometrie
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Displaying similar documents to “Minimal and maximal ideals in rings with involution.”
A note on unions of ideals and cosets of ideals.
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When a unital F-algebra has all maximal left (right) ideals closed?
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We prove that a real or complex unital F-algebra has all maximal left ideals closed if and only if the set of all its invertible elements is open. Consequently, such an algebra also automatically has all maximal right ideals closed.
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Fiedler, B. (1997)
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Jeppe Christoffer Dyre (1982)
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On 0-Minimal Bi-Ideals Of Semigroups
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Rings with the Minimum Condition for Principal Right Ideals Have the Maximum Condition for Principal Left Ideals.
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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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Luis F. Cáceres-Duque (2003)
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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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J. E. Baumgartner, A. D. Taylor, S. Wagon
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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...
Combinatorics of ideals --- selectivity versus density
A. Kwela, P. Zakrzewski (2017)
Commentationes Mathematicae Universitatis Carolinae
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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.
Primary ideals in semigroups.
A. Anjaneyulu (1980)
Semigroup forum
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