General algebraic geometry and formal concept analysis.
Generalization of the concept of variety and quasivariety to partial algebras through category theory [Book]
Generalized Associativity on Grupoids
Generalized deductive systems in subregular varieties
An algebra is subregular alias regular with respect to a unary term function if for each we have whenever for each . We borrow the concept of a deductive system from logic to modify it for subregular algebras. Using it we show that a subset is a class of some congruence on containing if and only if is this generalized deductive system. This method is efficient (needs a finite number of steps).
Generalized difference posets and orthoalgebras.
Generalized fuzzy -ideals of semirings with interval-valued membership functions.
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...
Generalized ordering and partitions
Generated fuzzy implications and fuzzy preference structures
The notion of a construction of a fuzzy preference structures is introduced. The properties of a certain class of generated fuzzy implications are studied. The main topic in this paper is investigation of the construction of the monotone generator triplet , which is the producer of fuzzy preference structures. Some properties of mentioned monotone generator triplet are investigated.
Generating methods for principal topologies on bounded lattices
In this paper, some generating methods for principal topology are introduced by means of some logical operators such as uninorms and triangular norms and their properties are investigated. Defining a pre-order obtained from the closure operator, the properties of the pre-order are studied.
Genomorphisms of lattices and semilattices
Globals of unary algebras
Graph homomorphisms of partial monounary algebras
Graphic algebras
Graphical Compositions and Weak Congruences
Graphs and Betweeness
Green's relations and their generalizations on semigroups
Green's relations and their generalizations on semigroups are useful in studying regular semigroups and their generalizations. In this paper, we first give a brief survey of this topic. We then give some examples to illustrate some special properties of generalized Green's relations which are related to completely regular semigroups and abundant semigroups.
Green's-like relations on algebras and varieties.
Group congruences on eventually inverse semigroups
Group congruences on regular semigroups.