Ideal nil-extensions of semigroups with semimodular congruence lattices.
Ideal systems of intersection and product type
Ideal theory in commutative semigroups.
Ideals and Green's relations in ordered semigroups.
Ideals are greater on the left.
Ideals in selfdistributive groupoids
Products of (left) ideals in selfdistributive groupoids are studied.
Ideals in transformation semigroups
Ideal-theoretic characterizations of valuation and Prüfer monoids
It is well known that an integral domain is a valuation domain if and only if it possesses only one finitary ideal system (Lorenzen -system of finite character). We prove an analogous result for root-closed (cancellative) monoids and apply it to give several new characterizations of Prüfer (multiplication) monoids and integral domains.
Idempotent Bounded Semi-Groups.
Inflation of a union of groups
Inner extrapolation of semigroup translations.
Intersetions of maximal ideals in semigroups.
Interval-Valued Fuzzy Ideals Generated by an Interval-Valued Fuzzy Subset in Ordered Semigroups.
Intuitionistic fuzzy interior ideals of semigroups.