ABSTRACT In this article an attempt has been made to study some new algebraic structures of intuitionistic multi-anti fuzzy normal subgroups under homomorphism are discussed. Keywords Intuitionistic multi-fuzzy set (IMFS), subgroup (IMAFSG), (IMAFNSG). Mathematics Subject Classification 20N25, 03E72, 08A72, 03F55, 06F35, 03G25, 08A05

We explore what it means to apply automatic diierentiation with respect to a set of real variables to codes containing complex arithmetic. That is, both dependent and independent variables with respect to diierentiation are real variables, but in order to exploit features of complex mathematics, part of the code is expressed by employing complex arithmetic. We investigate how one can apply auto...

Let A be an n × n complex matrix such that every row and every column has at most one nonzero entry. We determine permutations of the nonzero entries of A so that the resulting matrix has maximum numerical radius. Extension of the results to operators acting on separable Hilbert spaces are also obtained. Related results and additional problems are also mentioned. AMS Subject Classification. 15A60.

For digraphs D and H , a mapping f : V (D)→V (H) is a homomorphism of D to H if uv ∈ A(D) implies f(u)f(v) ∈ A(H). For a fixed digraph H , the homomorphism problem is to decide whether an input digraph D admits a homomorphism to H or not, and is denoted as HOMP(H). Digraphs are allowed to have loops, but not allowed to have parallel arcs. A natural optimization version of the homomorphism probl...

Trigraph list homomorphism problems (also known as list matrix partition problems) have generated recent interest, partly because there are concrete problems that are not known to be polynomial time solvable or NP -complete. Thus while digraph list homomorphism problems enjoy dichotomy (each problem is NP -complete or polynomial time solvable), such dichotomy is not necessarily expected for tri...

In this paper we provide a new scheme to securely forward the message in wireless mobile ad hoc networks (MANETs) by using existing homomorphic encryption schemes. This scheme is an alternative for threshold cryptography (TC) in MANETs to securely forward the message. By using homomorphic encryption schemes we remove the computational cost associated with Lagrange Interpolation scheme used in T...

Let U be a super-everywhere Newton monodromy. Recent interest in complex lines has centered on extending measurable, almost everywhere canonical, onto points. We show that there exists a totally unique set. It is well known that there exists an unconditionally Maclaurin super-nonnegative homomorphism. Recent developments in universal calculus [31, 37] have raised the question of whether |f | ≤ i.

The role of symmetry in ring theory is universally recognized. most directly definable universal relation a symmetric set isomorphism. This article develops certain structure bipolar fuzzy subrings, including quotient ring, homomorphism, and We define (?,?)-cut investigate the algebraic attributions this phenomenon. also support prove various important properties relating to concept. Additional...

the annihilating-ideal graph of a commutative ring $r$ is denoted by $ag(r)$, whose vertices are all nonzero ideals of $r$ with nonzero annihilators and two distinct vertices $i$ and $j$ are adjacent if and only if $ij=0$. in this article, we completely characterize rings $r$ when $gr(ag(r))neq 3$.