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[PDF] Top 20 The graph of a commutative KU-algebra

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The graph of a commutative KU-algebra

The graph of a commutative KU-algebra

... Definition 2.7. Let A be a subset of X . Then we define ann ( A )  { x  X : a   x  0 for all a  A } and call it the KU-annihilator of A . If A  {a } , then we write ann (a ) instead of ann ({ a }) . Lemma ... See full document

18

Graph of BCI Algebras

Graph of BCI Algebras

... a graph with complete components, a ∈ P and x, y ∈ V a such that x / ...a graph with complete components, then by Proposition ...is commutative BCI-algebra. Conversely, let X be a ... See full document

17

Annihilator Graph on Union of Two Commutative KS – Semigroups

Annihilator Graph on Union of Two Commutative KS – Semigroups

... abstract algebra, mathematical system with one binary operation called group and two binary operations called rings were ...of algebra called BCK-algebra. A BCK– algebra is named after the ... See full document

11

A graph associated to spectrum of a commutative ring

A graph associated to spectrum of a commutative ring

... and commutative algebra in [1] and ...a graph G, denoted by d(a, b), is the length of the shortest path connecting a and b, if such a path exists; otherwise, we set d(a, b) := ...A graph G is ... See full document

13

Graph Coloring Using Linear Algebra

Graph Coloring Using Linear Algebra

... This procedure is not ensured to halt. In STEP 3 it is possible that there are no light elements in the row space of the current matrix, in which case STEP 3 gets repeated indefinitely. In view of the fact that the ... See full document

7

Volume 71: Graph Computation Models 2014

Volume 71: Graph Computation Models 2014

... their graph parts, are not monomorphisms in our coalgebra category, so none of the current M -adhesive, W - adhesive [Gol12], or M , N -adhesive [HP12] approaches is directly ... See full document

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Approximately  Jordan Homomorphisms on Banach Algebras

Approximately Jordan Homomorphisms on Banach Algebras

... Corollary 2.6. Let n ∈ {3, 4, 5} be fixed. Suppose A, B are commutative Banach algebras. Let δ and ε be nonnegative real numbers and let p, q be a real numbers such that p − 1q − 1 > 0, q ≥ 0 or p − 1q − 1 > ... See full document

8

Reformulation of Relativistic Quantum Mechanics Equations with Non Commutative Sedeons

Reformulation of Relativistic Quantum Mechanics Equations with Non Commutative Sedeons

... tonions the essential imperfection of sedenions is their non-associativity. Another approach is based on the ap- plication of hypercomplex multivectors generating asso- ciative space-time Clifford algebras. The basic ... See full document

8

Construction of Nijenhuis operators and dendriform trialgebras

Construction of Nijenhuis operators and dendriform trialgebras

... 9. Conclusion. There exists another way to produce Nijenhuis operators by defining another type of bialgebras. Instead of defining the coproduct ∆ by ∆(ab) : = ∆(a)b + a∆(b) − µ(∆(a)) ⊗ b on an associative algebra ... See full document

21

Multidimensional Laplace Transforms over Quaternions, Octonions and Cayley Dickson Algebras, Their Applications to PDE

Multidimensional Laplace Transforms over Quaternions, Octonions and Cayley Dickson Algebras, Their Applications to PDE

... z -representation  of the function  [4-6]. On the other hand, for analytic functions with real expansion coefficients in their power series non-commutative in- tegrals specified by left or right algorithms along ... See full document

41

Representing Multipliers of the Fourier Algebra on Non-Commutative L-p Spaces

Representing Multipliers of the Fourier Algebra on Non-Commutative L-p Spaces

... make a careful study of these spaces, and prove some approximation results which allow us to work with functions instead of abstract operators in the von Neumann algebra. With this perspective, the A(G)-module ... See full document

24

Some results on a subgraph of the intersection graph of ideals of a commutative ring

Some results on a subgraph of the intersection graph of ideals of a commutative ring

... from graph theory that we use in this ...A graph G = (V, E) is said to be connected, if for any distinct a, b ∈ V , there exists a path in G between a and b ...simple graph G = (V, E) is said to be ... See full document

27

A constrained graph algebra for semantic parsing with AMRs

A constrained graph algebra for semantic parsing with AMRs

... (AM) graph algebra for combining graphs using operations that reflect the way linguistic predicates combine with complements and ...AM algebra derivations can model phenomena such as control, ... See full document

13

Anti Q-Fuzzy R-Closed KU-Ideals in KU-Algebras and its Lower Level Cuts

Anti Q-Fuzzy R-Closed KU-Ideals in KU-Algebras and its Lower Level Cuts

... R-closed KU-ideals of KU-algebras, lower level cuts of a fuzzy set, lower level R-closed KU-ideals and prove some results ...a KU-algebra is a R- closed KU-ideal if and only if ... See full document

11

The total graph of a commutative semiring with respect to proper ideals

The total graph of a commutative semiring with respect to proper ideals

... Proof. (1) Let 2 ∈ P (I). We set up an equivalence relation ∼ on R − P (I) as follows: for r, r 0 ∈ R − P (I), we write r ∼ r 0 if and only if r + r 0 ∈ P (I). It is straightforward to check that ∼ is an equivalence ... See full document

15

Finitely Generated Annihilating-Ideal Graph of Commutative Rings

Finitely Generated Annihilating-Ideal Graph of Commutative Rings

... bipartite graph is a graph whose vertices can be divided into two disjoint sets A and B such that every edge connects a vertex in A to one in ...bipartite graph is a bipartite graph in which ... See full document

9

Decomposition of Automorphisms of Certain Solvable Subalgebra of Symplectic Lie Algebra over Commutative Rings

Decomposition of Automorphisms of Certain Solvable Subalgebra of Symplectic Lie Algebra over Commutative Rings

... connected commutative ring,” Linear Algebra and Its Applications, ...of Algebra, ...Lie algebra of strictly upper triangular matrices over ... See full document

13

Derivations in Banach algebras

Derivations in Banach algebras

... algebra A is prime if aAb = { 0 } implies that either a = 0 or b = 0. A mapping f : A → A is called commuting (resp., centralizing) if [f (x), x] = 0 (resp., [f (x), x] ∈ Z(A)) for all x ∈ A. More generally, for a ... See full document

5

Associated Graphs of Modules Over Commutative Rings

Associated Graphs of Modules Over Commutative Rings

... a graph G is an assignment of colors (elements of some set) to the vertices of G, one color to each vertex, so that adjacent vertices are assigned distinct ...a graph G, then G is called n-colorable. The ... See full document

14

Generalized derivations with power values in rings and Banach algebras

Generalized derivations with power values in rings and Banach algebras

... Banach algebra A, such that [d(x), x]d(x)[d(x), x] ∈ rad(A), for all x ∈ A, then d maps A into ...Banach algebra A such that [[d(x), x], d(x)] ∈ rad(A) for all x ∈ A then d(A) ⊆ ... See full document

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