نتایج جستجو برای: strongly nil clean matrix
تعداد نتایج: 608857 فیلتر نتایج به سال:
Introduction: Ischemia/reperfusion (IR) injury involves a complex interrelated sequence of events. High levels of nitric oxide (NO) are generated with inducible form of nitric oxide synthase (iNOS) leading to the renal IR injury and glutathione (GSH) depletion. The present study was designed to investigate the effect of L-Nil (N6- (1-Iminoethyl)-L- lysine.hydrochloride), a selective inhibito...
Two class association schemes consist of either strongly regular graphs (SRG) or doubly regular tournaments (DRT). We construct self-dual codes from the adjacency matrices of these schemes. This generalizes the construction of Pless ternary Symmetry codes, Karlin binary Double Circulant codes, Calderbank and Sloane quaternary double circulant codes, and Gaborit Quadratic Double Circulant codes ...
Considering the Euclidean Jordan algebra of the real symmetric matrices endowed with the Jordan product and the inner product given by the usual trace of matrices, we construct an alternating Schur series with an element of the Jordan frame associated to the adjacency matrix of a strongly regular graph. From this series we establish necessary conditions for the existence of strongly regular gra...
Let R be a commutative ring with identity and Nil(R) be the set of nilpotent elements of R. The nil-graph of ideals of R is defined as the graph AG_N(R) whose vertex set is {I:(0)and there exists a non-trivial ideal such that and two distinct vertices and are adjacent if and only if . Here, we study conditions under which is complete or bipartite. Also, the independence number of is deter...
We consider a strongly regular graph, G, and associate a three dimensional Euclidean Jordan algebra, V, to the adjacency matrix A of G. Then, by considering convergent series of Hadamard powers of the idempotents of the unique complete system of orthogonal idempotents of V, we establish new feasibility conditions for the existence of strongly regular graphs.
As the main result of this paper it is proved that an interval matrix [Ac −∆, Ac +∆] is strongly regular if and only if the matrix inequality M(I − |I − RAc| − |R|∆) ≥ I has a solution, where M and R are real square matrices and M is nonnegative. Several consequences of this result are drawn.
We investigate properties of two-weight codes over finite Frobenius rings, giving constructions for the modular case. A δ-modular code [15] is characterized as having a generator matrix where each column g appears with multiplicity δ|gR×| for some δ ∈ Q. Generalizing [10] and [5], we show that the additive group of a two-weight code satisfying certain constraint equations (and in particular a m...
For a ring R, R[x] is a left nearring under addition and substitution, and we denote it by (R[x], +, ◦). In this note, we show that if nil(R) is a locally nilpotent ideal of R, then nil(R[x], +, ◦) = nil(R)0[x], where nil(R) is the set of nilpotent elements of R and nil(R)0[x] is the 0-symmetric left nearring of polynomials with coefficients in nil(R). As a corollary, if R is a 2-primal ring, t...
As the main result of this paper it is proved that an interval matrix [Ac −∆, Ac +∆] is strongly regular if and only if the matrix inequality M(I − |I − RAc| − |R|∆) ≥ I has a solution, where M and R are real square matrices and M is nonnegative. Several consequences of this result are drawn.
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