Results 211 to 220 of about 21,877 (248)
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Canadian Journal of Mathematics, 1984
A module M is called a serial module if the family of its submodules is linearly ordered under inclusion. A ring R is said to be serial if RR as well as RR are finite direct sums of serial modules. Nakayama [8] started the study of artinian serial rings, and he called them generalized uniserial rings.
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A module M is called a serial module if the family of its submodules is linearly ordered under inclusion. A ring R is said to be serial if RR as well as RR are finite direct sums of serial modules. Nakayama [8] started the study of artinian serial rings, and he called them generalized uniserial rings.
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Communications in Algebra, 1984
(1984). Piecewise noetherian rings. Communications in Algebra: Vol. 12, No. 21, pp. 2679-2706.
John A. Beachy, William D. Weakley
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(1984). Piecewise noetherian rings. Communications in Algebra: Vol. 12, No. 21, pp. 2679-2706.
John A. Beachy, William D. Weakley
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Ideal Decompositions in Noetherian Rings
Canadian Journal of Mathematics, 1965An interesting identity is obtained for ideals A and B in a Noetherian ring :A = (A + Bn) ∩ (A : Bn)for sufficiently large n. This identity is applied to obtain Fuchs' quasi-primary decomposition of A in an improved form, and to obtain Krull's theorem on the intersection of the powers of A, both developments making no use of the Noetherian primary ...
Barnes, Wilfried E., Cunnea, William M.
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1975
This work specifically surveys simple Noetherian rings. The authors present theorems on the structure of simple right Noetherian rings and, more generally, on simple rings containing a uniform right ideal U. The text is as elementary and self-contained as practicable, and the little background required in homological and categorical algebra is given in
John Cozzens, CArl Faith
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This work specifically surveys simple Noetherian rings. The authors present theorems on the structure of simple right Noetherian rings and, more generally, on simple rings containing a uniform right ideal U. The text is as elementary and self-contained as practicable, and the little background required in homological and categorical algebra is given in
John Cozzens, CArl Faith
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Fixed Rings of Noetherian Rings
Bulletin of the London Mathematical Society, 1981Montgomery, S., Small, L. W.
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Catalytic Enantioselective Ring-Opening Reactions of Cyclopropanes
Chemical Reviews, 2021Vincent Pirenne +2 more
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2001
The following lemma is one more (see Corollary 5.15) assertion about the uni-seriality of some modules.
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The following lemma is one more (see Corollary 5.15) assertion about the uni-seriality of some modules.
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C–C Bond Cleavages of Cyclopropenes: Operating for Selective Ring-Opening Reactions
Chemical Reviews, 2021Rubén Vicente
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The principles, design and applications of fused-ring electron acceptors
Nature Reviews Chemistry, 2022Jiayu Wang, Xiaowei Zhan
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