Results 261 to 270 of about 14,293,729 (308)
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On reduced rank of triangular matrix rings
Journal of Algebra and Its Applications, 2015We determine conditions under which a generalized triangular matrix ring has finite reduced rank, in the general torsion-theoretic sense. These are applied to characterize certain orders in Artinian rings, and to show that if each homomorphic image of a ring S has finite reduced rank, then so does the ring of lower triangular matrices over S.
Bailey, Abigail C., Beachy, John A.
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Actions of Lie Superalgebras on Reduced Rings
Algebras and Representation Theory, 2007The authors consider actions of finite-dimensional Hopf algebras on reduced and graded-reduced algebras and study the question of when the subalgebra of invariants is non-zero. The first result says that if \(R\) is a graded-reduced ring of characteristic \(p>2\) acted on by a finitely generated restricted \(K\)-Lie superalgebra \(L\), where \(K\) is a
Bergen, Jeffrey +2 more
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Commutative reduced filial rings
2019A ring R is filial when for every I, J, if I is an ideal of J and J is an ideal of R then I is an ideal of R. Several characterizations and results on structure of commutative reduced filial rings are obtained.
Andruszkiewicz, R.R., Sobolewska, M.
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On subhereditary radicals and reduced rings
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2002K. Beidar, W. Ke, E. Puczyłowski
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A Kind of Graph Structure on Non-reduced Rings
, 2010Aihua Li, Qisheng Li
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Reduced rings whose finitely generated modules decompose
, 1978Willy Brandal, R. Wiegand
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2008
In this paper we extend several results known for reduced rings to reduced modules. We prove that for a semiprime module or a module with zero Jacobson radical, the concepts of reduced, symmetric, ps-Armendariz and ZI modules coincide. New examples of reduced modules are furnished: flat modules over reduced rings and modules with zero Jacobson radical ...
REGE, Mangesh B., BUHPHANG, A. M.
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In this paper we extend several results known for reduced rings to reduced modules. We prove that for a semiprime module or a module with zero Jacobson radical, the concepts of reduced, symmetric, ps-Armendariz and ZI modules coincide. New examples of reduced modules are furnished: flat modules over reduced rings and modules with zero Jacobson radical ...
REGE, Mangesh B., BUHPHANG, A. M.
openaire +1 more source