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Commutative Self-Injective Rings

Canadian Journal of Mathematics, 1970
All rings considered here are commutative containing at least two elements, but may not have identity. A ring R is said to be selfinjective if R as an R-module is injective. A ring R is said to be pre-selfinjective if every proper homomorphic image of R is ...
Singh, S., Wasan, K.
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Metaideals in Commutative Rings

Algebra Colloquium, 2005
New examples of metaideals in commutative rings are constructed. It is proved that metaideals of a commutative ring form a sublattice of the lattice of all subrings, and for any subring A of a commutative ring P, there exists the largest subring Mid P (A) (called metaidealizer) in which A is a metaideal. Metaidealizers in several cases are described.
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On Commutative Splitting Rings

Proceedings of the London Mathematical Society, 1970
Abstract not ...
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Commutative consistently $$L^{*}$$-rings

Algebra universalis, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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IDEALS IN COMMUTATIVE RINGS

Mathematics of the USSR-Sbornik, 1976
This paper deals with one-dimensional (commutative) rings without nilpotent elements such that every ideal is generated by three elements. It is shown that in such rings the square of every ideal is invertible, i.e. divides its multiplier ring. In addition, every ideal is distinguished, in the sense that on localization at any maximal ideal it becomes ...
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ARTINIAN-FINITARY GROUPS OVER COMMUTATIVE RINGS AND NON-COMMUTATIVE RINGS

Journal of the London Mathematical Society, 2004
Summary: Let \(M\) be a module over the ring \(R\). Extensive use is made of Krull codimension to study further the Artinian-finitary automorphism group \[ F_1\Aut_RM=\{g\in\Aut_RM:M(g-1)\text{ is }R\text{-Artinian}\} \] of \(M\) over \(R\). Substantial progress is made where either \(M\) is residually Noetherian or \(R\) is commutative. There are some
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Commutative Rings.

The American Mathematical Monthly, 1972
R. A. Smith, Irving Kaplansky
openaire   +1 more source

Catalytic Enantioselective Ring-Opening Reactions of Cyclopropanes

Chemical Reviews, 2021
Vincent Pirenne   +2 more
exaly  

The principles, design and applications of fused-ring electron acceptors

Nature Reviews Chemistry, 2022
Jiayu Wang, Xiaowei Zhan
exaly  

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