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Subjects / keywords: Numbers, Complex; Algebras, Linear; Mathematical analysis; Mathematics; Study and teaching

We say that an algebra a is multiplicative prime if both a and m(a) ( the multiplication algebra of a) are prime . in this paper , we study the transitivity of the property of multiplicative primeness for real normal alg...

In this work we obtain all rigid complex 3-dimensional multiplicative Hom-Lie algebras. This is done by studying all deformations of multiplicative Hom-Lie algebras which are also Lie algebras. As a byproduct, we obtain ...

In this paper, we find the algebra of quotients with bounded evaluation for operator algebras on a complex Hilbert space, namely: Hilbert - Schmidt and trace -class operators. Also, we study the behavior in computing the...

Following Villena in [9] and Mohammed and Ali in [4], we introduce partially defined ( ) - c - double derivation and generalized ( ) - c - double derivation on a semisimple complex Banach algebra whose domain is not nece...

We call the p-fundamental string of a complex simple Lie algebra to the sequence of irreducible representations having highest weights of the form kω1 +ωp for k ≥ 0, where ωj denotes the jth fundamental weight of th...

For each n∈N, we introduce the algebraic semantics for the minimum many-valued modal logic over the MV-chain with n elements. We prove that this quasivariety of algebras is generated by the complex algebras, obtaining ...

We show that the Hochschild homology of a differential operator kalgebra E = A#f U(g), is the homology of a deformation of the Chevalley-Eilenberg complex of g with coefficients in (M ⊗A^-∗, b∗). Moreover, when A i...

Preface Prologue: The Exponential Function Chapter 1: Abstract Integration Set-theoretic notations and terminology The concept of measurability Simple functions Elementary properties of measures Arithmetic in [0, ] Integ...