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Embedding Right Chain Rings in Chain Rings [PDF]
The following problem was the starting point for this investigation: Can every desarguesian affine Hjelmslev plane be embedded into a desarguesian projective Hjelmslev plane [8]? An affine Hjelmslev plane is called desarguesian if it can be coordinatized by a right chain ring R with a maximal ideal J(R) consisting of two-sided zero divisors.
Törner, Günter, Brungs, H.H.
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Maximal Non $$\phi $$-Chained Rings and Maximal Non Chained Rings
Results in Mathematics, 2019Let \(R\) be a commutative ring with unity. \(\mathcal{H}\) denotes the set of all rings \(R\) such that \(\mathrm{Nil}(R)\) is a divided prime ideal and let \(T(R)\) be the total quotient ring of \(R\). If \(R\in \mathcal{H}\), then there is a ring homomorphism \(\phi: T(R)\rightarrow R_{\mathrm{Nil}(R)}\), given by \(\phi(r/s)=r/s\), where \(r\in R\)
Atul Gaur, Rahul Kumar
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Chain rings and prime ideals [PDF]
(MR: 54: 7537)
Törner, Günter, Brungs, H.H.
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ChemInform Abstract: Ring‐Chain and Ring‐Chain‐Ring Tautomerism of Thiocarbonohydrazones
ChemInform, 1994AbstractChemInform is a weekly Abstracting Service, delivering concise information at a glance that was extracted from about 100 leading journals. To access a ChemInform Abstract of an article which was published elsewhere, please select a “Full Text” option. The original article is trackable via the “References” option.
V. V. ALEKSEEV +5 more
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Annali di Matematica Pura ed Applicata, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Singh, Surjeet, Alkhamees, Yousef
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Singh, Surjeet, Alkhamees, Yousef
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Fuzzy Sets and Systems, 1991
Abstract The aim of this paper is to find out some new results about fuzzy ideals, to characterise Artinian rings and Noetherian rings by fuzzy ideals and to give alternative proofs of some well known results of Artinian and Noetherian rings by fuzzy ideal theoretic techniques.
T.K. Mukherjee, M.K. Sen
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Abstract The aim of this paper is to find out some new results about fuzzy ideals, to characterise Artinian rings and Noetherian rings by fuzzy ideals and to give alternative proofs of some well known results of Artinian and Noetherian rings by fuzzy ideal theoretic techniques.
T.K. Mukherjee, M.K. Sen
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Journal of Macromolecular Science, Part C: Polymer Reviews, 1970
Abstract Ring-chain equilibration in polymer chemistry is a more widespread phenomenon than was once supposed. Theoretical treatments of the subject were developed in the 1950's [1–11], but the practical consequences have been recognized fully only in recent years.
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Abstract Ring-chain equilibration in polymer chemistry is a more widespread phenomenon than was once supposed. Theoretical treatments of the subject were developed in the 1950's [1–11], but the practical consequences have been recognized fully only in recent years.
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Self-Dual Codes Over Chain Rings
Mathematics in Computer Science, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eisenbarth, Simon, Nebe, Gabriele
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1989
Cyclic species are amazingly common amongst the products from polymerization reactions and occur in many different circumstances. Step reaction polymerization almost invariably leads to a sizeable fraction of cyclics of various sizes besides linear chains, and a considerable portion of a high molecular weight material may consist of rings.
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Cyclic species are amazingly common amongst the products from polymerization reactions and occur in many different circumstances. Step reaction polymerization almost invariably leads to a sizeable fraction of cyclics of various sizes besides linear chains, and a considerable portion of a high molecular weight material may consist of rings.
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2014
Chapter 7 continues to develop the theory of rings and studies chain conditions for ideals of a ring. The motivation came from an interesting property of the ring of integers Z that its every ascending chain of ideals terminates. This interesting property of Z was first recognized by the German mathematician Emmy Noether (1882–1935).
Mahima Ranjan Adhikari, Avishek Adhikari
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Chapter 7 continues to develop the theory of rings and studies chain conditions for ideals of a ring. The motivation came from an interesting property of the ring of integers Z that its every ascending chain of ideals terminates. This interesting property of Z was first recognized by the German mathematician Emmy Noether (1882–1935).
Mahima Ranjan Adhikari, Avishek Adhikari
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