Fully fuzzy prime semigroups.
Function minimum associated to a congruence on integral n-tuple space.
Function ∪-semigroups
Fundamental order relations on inverse semigroups and on their generalizations.
Fundamental preorders and partial orders on completely [0] simple semigroups.
Fuzzy ideals extensions of ordered semigroups.
Fuzzy ideals of ordered semigroups with fuzzy orderings
The purpose of this paper is to introduce the notions of ∈, ∈ ∨qk-fuzzy ideals of a fuzzy ordered semigroup with the ordering being a fuzzy relation. Several characterizations of ∈, ∈ ∨qk-fuzzy left (resp. right) ideals and ∈, ∈ ∨qk-fuzzy interior ideals are derived. The lattice structures of all ∈, ∈ ∨qk-fuzzy (interior) ideals on such fuzzy ordered semigroup are studied and some methods are given to construct an ∈, ∈ ∨qk-fuzzy (interior) ideals from an arbitrary fuzzy subset. Finally, the characterizations...
Fuzzy positive implicative ordered filters of implicative semigroups.
General mutants in semigroups.
Généralisation de la notion de demi-groupe nilpotent. Application aux anneaux
Generalized adjoint semigroups of a ring.
Generalized affine transformation monoids on Galois rings.
Generalized Commutative semigroups.
Generalized -semigroups
A semigroup is called a generalized -semigroup if there exists a group congruence on such that the identity class contains a greatest element with respect to the natural partial order of . Using the concept of an anticone, all partially ordered groups which are epimorphic images of a semigroup are determined. It is shown that a semigroup is a generalized -semigroup if and only if contains an anticone, which is a principal order ideal of . Also a characterization by means of the structure...
Generalized fuzzy interior ideals in Abel-Grassmann's groupoids.
Generalized Greenfs theories.
Generalized Green's relations
Generalized Groups with the Well-Ordered Set of Idempotents
Generalized ideal elements in poe-semigroups.
Generalized inflations and null extensions
An inflation of an algebra is formed by adding a set of new elements to each element in the original or base algebra, with the stipulation that in forming products each new element behaves exactly like the element in the base algebra to which it is attached. Clarke and Monzo have defined the generalized inflation of a semigroup, in which a set of new elements is again added to each base element, but where the new elements are allowed to act like different elements of the base, depending on the context...