M. Zafrullah

activity

20072022

⋆

--multiplication domains and class groups

9 citations · 12 across the 14 of their papers we have counts for

collaborators

Showing 2022 · math.ACShow all

3 papers · 2 filters

math.AC2022★ 1 cited

On Chevalley's Extension Theorem

Muhammad Zafrullah

Professor Daniel Anderson informed me, recently, that there is an error in the proof of Theorem 56 of Kaplansky's book on Commutative Rings. His (Dan's) reason was "He (Kaplansky)…

math.AC2022

Condensed domains and the $D + X L [X]$ construction

Muhammad Zafrullah

Let $D$ be an integral domain with quotient field $K$ and let $I$ be the set of nonzero ideals of $D$ . Call, for $I, J \in I (D)$ , the product $I J$ of ideal…

math.AC2022

Integral domains and the IDF property

Felix Gotti, Muhammad Zafrullah

An integral domain $D$ is called an irreducible-divisor-finite domain (IDF-domain) if every nonzero element of $D$ has finitely many irreducible divisors up to associates. The stud…

On Chevalley's Extension Theorem

Condensed domains and the D+XL[X] construction

Integral domains and the IDF property

Condensed domains and the $D + X L [X]$ construction