Pseudo-BCK algebras were introduced by G. Georgescu and A. Iorgulescu as a generalization of BCK algebras. Their properties and connections with other fuzzy structures were established by A. Iorgulescu and J. Kühr. In this paper we study the class of perfect pseudo-BCK algebras with pseudo-product and we prove that any perfect pseudo-BCK algebra with pseudo-product is strongly bipartite. Anothe...

As a generalization of BCH-algebras, the notion of pseudo BHalgebra is introduced, and some of their properties are investigated. The notions of pseudo subalgebra, pseudo ideals, and pseudo atoms in pseudo BCH-algebras are introduced. Characterizations of their properties are provided. Mathematics Subject Classification: 06F35, 03G25

In this paper, by the weighted ergodic function based on the measure theory, we study the pseudo asymptotic behavior of mild solution for semilinear fractional integro-differential equations. The existence, unique of -pseudo anti-periodic ( -pseudo periodic, -pseudo almost periodic, -pseudo almost automorphic) solution are investigated. Moreover, an application to fractional partial differentia...

The research re ected in this dissertation is a study of computational pseudo randomness More speci cally the main objective of this research is the e cient and simple construction of pseudo random functions and permutations where e ciency refers both to the sequential and parallel time complexity of the computation Pseudo random functions and permutations are fundamental cryptographic primitiv...

The aim of this paper is to construct left-invariant Einstein pseudo-Riemannian Sasaki metrics on solvable Lie groups. We consider the class $\mathfrak z$-standard algebras dimension $2n+3$, which are in one-to-one correspondence with pseudo-K\"ahler nilpotent $2n$ endowed a compatible derivation, suitable sense. characterize structures and derivations giving rise Sasaki-Einstein metrics. class...

We investigate the complete universe evolution in framework of $f(T)$ cosmology. first study requirements at kinematic level and we introduce a simple scale factor with necessary features. Performing detailed analysis phase portrait show that begins infinite past from where goes to zero but Hubble parameter constant, its derivative zero. Since these features resemble those Pseudo-Rip fate rever...