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Titlebook: Exercises in Basic Ring Theory; Grigore Cǎlugǎreanu,Peter Hamburg Book 1998 Springer Science+Business Media B.V. 1998 Lattice.algebra.asso

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Sound and Relaxed Behavioural Inheritance,A ring . is called . if the set of all the left (right) ideals of . satisfies the . i.e. each strictly descending chain of left (right) ideals is finite (or equivalently, each non-void family of left (right) ideals contains a minimal element). Similarly, a ring is called . if the set of all the left (right) ideals satisfies the ..
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From Atom Optics to Quantum SimulationThe . of a ring . is the sum of all the minimal (simple) left (right) ideals of .. For commutative rings we shall denote this by ..
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https://doi.org/10.1007/978-3-540-70573-4A ring . is called . if it is a direct sum of minimal left (right) ideals. ..
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FundamentalsAn element r of a ring . is called a
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