Galoitica: Journal of Mathematical Structures and Applications

The objective of this paper is to present for the first time the concept of fuzzy weak complex vector spaces depending on the ring of fuzzy weak complex numbers. Also, we examine some elementary algebraic properties of fuzzy weak complex vector spaces in terms of theorems. On the other hand, we illustrate many related examples to explain the novelty of these spaces.

  In this paper, we study the problem of controllable and observable output of the type:     On the other hand, we present some new result about the formula of this linear discrete-time system and about controllable out put  

The objective of this paper is to study and define the neutrosophic real functions with one neutrosophic variable depending on the geometric isometry (AH-Isometry), with a lot of concepts from real analysis including continuality, differentiability, integrability. We have presented the formal forms of different popular functions in neutrosophic environment like logarithmic function, exponential function, trigonometric functions. Rising neutrosophic numbers to any power is well defined including rising to neutrosophic powers.

The objective of this paper is to study the Dedekind lattices, where we prove if is a -lattice and domain, then  will be a Dedekind domain if and only if every non zero maximal element is invertible. On the other hand, we prove that if  is a domain and -lattices, then  is a dedehind domain if and only if  is a UFD lattices and every non zero prime element is maximal.

The objective of this paper is to define for the first time the concept of weak fuzzy complex numbers as a novel generalization of real numbers. Also, it presents some of their elementary properties and algorithms for solving some related algebraic equations.