9 citations · 12 across the 14 of their papers we have counts for
18 papers
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)…
Condensed domains and the construction
Muhammad Zafrullah
Let be an integral domain with quotient field and let be the set of nonzero ideals of . Call, for , the product of ideal…
Integral domains and the IDF property
Felix Gotti, Muhammad Zafrullah
An integral domain is called an irreducible-divisor-finite domain (IDF-domain) if every nonzero element of has finitely many irreducible divisors up to associates. The stud…
Revisiting G-Dedekind domains
Muhammad Zafrullah
Let be an integral domain with and let be the set of nonzero fractional ideals of Call a dually compact domain (DCD) if for each the ideal…
Domains whose ideals meet a universal restriction
Muhammad Zafrullah
Let represent a set of proper nonzero ideals (resp., -ideals ) of an integral domain and let be a valid property of ideals of We…
Two generalizations of Krull domains
Shiqi Xing, Daniel D. Anderson, Muhammad Zafrullah
In this paper we introduce two new generalizations of Krull domains: -almost independent rings of Krull type (-almost IRKTs) and -almost generalized Krull domains…