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Titlebook: Advances in Ring Theory; Dinh Huynh,Sergio R. López-Permouth Conference proceedings 2010 Birkhäuser Basel 2010 Homological algebra.Lattice

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Target Controllability of Linear Networks and extensions and the later of classes closed under homomorphic images and extensions, respectively. We work with these two big lattices and study the consequences of assuming that they are the same proper class. We also consider big lattices of .-modules defined by other closure properties.
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Clémence Réda,Andrée Delahaye-Duriezormly strongly prime radicals of these near-rings are characterized. The Peano space-filling curves play a crucial rôle in this investigation. We also consider strongly prime ideals in ℕ.(ℝ.), where ω denotes the first transfinite cardinal.
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Jérémie Pardo,Sergiu Ivanov,Franck Delaplacet .-modules ..(.). Let 1 = 1. = 1. ∈ . ⊂ . be rings with . ⊂ . an essential extension of right .-modules. Under some appropriate assumptions it is shown that there is an isomorphism of Boolean lattices Ψ: ℐ (.) → ℐ (.). The natural inclusion map φ: . → ., induces a natural order preserving map φ.: .
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Lecture Notes in Computer Science. A module .. is . if it is non-zero and there exists a short exact sequence 0 → CR → PR → MR → 0 with .. projective and both .. and .. couniform modules. The endomorphism ring of a couniformly presented module has at most two maximal ideals, and a weak form of the Krull-Schmidt Theorem holds for fi
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Transient Memory in Gene Regulationible elements commute with one another. We prove that if . is a . (i.e., its factor ring modulo its Jacobson radical is an exchange ring) with all invertible elements central, then . is commutative. We also prove that if . is a semiexchange ring in which all invertible elements commute with one anot
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