Tag: Rings, Modules, and Algebras
Parameterized noetherian rings exist for each cardinal case
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in MathematicsWhat the study found The study shows that for every singular cardinal, there is a valuation domain that is strictly (<α)-noetherian. For every regular cardinal, it shows a valuation domain that is strictly (<α⁺)-noetherian. Why the authors say this matters The authors say this gives a positive answer to a problem posed by Mazari–Armida under…
Unit-zero divisor graph built from commutative rings
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in MathematicsWhat the study found The paper introduces the unit-zero divisor graph of a commutative ring with identity, defined using both addition and multiplication. The authors say this graph reflects two ring operations at once and examine several of its basic graph properties. Why the authors say this matters The study suggests that this graph construction…
