We establish several characterizations of maximal non-Prüfer and maximal non-integrally
closed subrings of a field. Special attention is given when finiteness conditions are satisfied …

We investigate in this paper maximal non# discrete valuation subrings of a field and
establish several characterizations for them. For example we show that an integral domain R …

We establish several new characterizations of maximal non-valuation subrings of a field
involving several concepts of commutative algebra related to the set of prime ideals and the …

We investigate integral domains with only finitely many overrings and establish several new
sharp inequalities relating the cardinality of the set of all overrings, the Krull dimension, and …

We establish several finiteness characterizations and equations for the cardinality and the
length of the set of overrings of rings with nontrivial zero divisors and integrally closed in …

As an extension of the class of Dedekind domains, we have introduced and studied the
class of multiplicatively pinched-Dedekind domains (MPD domains) and the class of …

Let R⊆ S be an extension of integral domains with only finitely many intermediate rings,
where R is not a field and S is not necessarily the quotient field of R or R is not necessarily …

An integral domain is called globalized multiplicatively pinched-Dedekind domain (GMPD
domain) if every nonzero non-invertible ideal can be written as k P JP⋯ 1 with J invertible …

An integral domain is called Globalized multiplicatively pinched-Dedekind domain (GMPD
domain) if every nonzero noninvertible ideal can be written as JP1··· Pk with J invertible …

An integral domain is called {\em Globalized multiplicatively pinched-Dedekind domain $($
GMPD domain $) $} if every nonzero non-invertible ideal can be written as $ JP_1\cdots P_k …