[PDF] Top 20 Right derivations on ordered semigroups

... specified derivations of R. In this paper, we in- troduce the concept of right derivation on semigroups and we study some of the properties of right derivation of ...non-zero right ... See full document

... in semigroups and investigated various types of interval- valued fuzzy ideals in ...almost semigroups and introduced the concepts of interval-valued fuzzy interior ideal, interval-valued fuzzy left ideal, ... See full document

... in semigroups, the relation N is a semilattice congruence on ...in ordered semigroups, the relation N is a complete semilattice congruence on M ...(resp. right) simple if for every left (resp. ... See full document

... Let (S, ◦, ≤) be an ordered semigroup. A nonempty subset A of S is called a left (respectively, right) ideal of S if (1) S ◦ A ⊆ A (respectively, A ◦ S ⊆ A); (2) a ∈ A, b ∈ S, b ≤ a ⇒ b ∈ A. A is called an ... See full document

... of ordered right ideals, ordered left ideals, ordered ideals and the concept of fuzzy sets play an important role in studying the structure of ordered ...of ordered filters on ... See full document

... of ordered semigroups such as left (right) regular, regular, intra-regular, completely regular, semiprime, semisimple and simple ordered semigroups are characterised by considering the ... See full document

... Proof. Let x, y, z ∈ T. Since T is regular and x ∈ T, there exists a ∈ T such that x ≤ xax. Then we have xyz ≤ xaxyz which implies f ( xyz ) ∨ λ ≥ f ( xaxyz ) ∧ µ. Since f is a ( λ, µ ) -fuzzy interior ideal of T, f ( ... See full document

... an ordered semigroup (S, ·, ≤), we denote by (A] the subset of S defined by (A] := {t ∈ S | t ≤ a for some a ∈ A} [4, ...a right ideal, left ideal or an ideal of an ordered semigroup S, then (A] = ... See full document

... 1.3. Connections to Sustructural Logics. The main motivation for con- sidering state semantics originates in (substructural) logic. State semantics restricted to the commutative and dense subclass R cd (Λ) of R(Λ) ... See full document

... A b s t r ac t . We prove that operator pomonoids of a po-Γ- semigroup with unities are Morita equivalent pomonoids. Conversely, we show that if L and R are Morita equivalent pomonoids then a po-Γ-semigroup A with ... See full document

... inverse semigroups is isomorphic to the subcategory of inductive groupoids in the category of ordered ...of ordered groupoid actions to the category of ordered functors: from a pair (G, H) of ... See full document

... Proof. i⇒ii Let a, b ∈ S and f an N-fuzzy bi-ideal of S. Then aSa is a bi-ideal of S. In fact, aSa 2 ⊆ aSaaSa ⊆ aSa, aSaSaSa aSaSaSa ⊆ aSa and if x ∈ aSa and S y ≤ x ∈ aSa, then y ∈ aSa aSa. Since aSa is a bi-ideal of S, ... See full document

... applications, semigroups and related structures are presently extensively investigated in fuzzy settings (see ...regular ordered semigroups, being union of groups ...∨q)−fuzzy right ideals and ... See full document

... an ordered semigroup is a semigroup together with a partial order that is compatible with the semigroup ...operation. Ordered semigroups have many applications in the theory of sequential machines, ... See full document

... of derivations play an important role in studying the many logical ...(resp. right)- f -derivations of type I and of left (resp. right)- f -derivations of type II of UP-algebras, some ... See full document

... et al. [] discussed a generalization of (∈, ∈ ∨ q)-fuzzy ideals of a BCK/BCI-algebra. Us- ing the idea of a quasi-coincidence of a fuzzy point with a fuzzy set, Jun et al. [] intro- duced the concept of (α, β ... See full document

... Design and construction of an error-free compiler is a difficult and challenging process. The main functionality of a compiler is to translate a source code to an executable machine code correctly and efficiently. In ... See full document

... Yang in [16] studied some general properties of Folner numbers and Folner type conditions. In his work, the author showed that if the folner number of a semigroup is zero, then the semigroup satisfies strong Folner ... See full document

... implicative ordered filters. Theorem 3.15 . Let µ and ν be fuzzy ordered filters of a commutative implicative semigroup S such that µ( 1 ) = ν( 1 ) and µ ≤ ν , that is, µ(x) ≤ ν(x) for all x ∈ S ... See full document

... any right simple semigroup (a semigroup having only one right ideal) containing an idempotent, is a right group, ...a right zero semigroup (see [4], ...potentially right simple ... See full document