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Titlebook: Logarithms and Antilogarithms; An Algebraic Analysi Danuta Przeworska-Rolewicz Book 1998 Springer Science+Business Media Dordrecht 1998 alg

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Mathematics and Its Applicationshttp://image.papertrans.cn/l/image/587853.jpg
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Equations with Multiplicative Involutions of Order ,multiplicative involutions of order . ≥ 2. However, neither in this book nor elsewhere equations with multiplicative involutions of order . ≥ 2 have been studied to the full. So that, we shall present here some results never published before and we shall apply them to equations with logarithms and antilogarithms.
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Overview: 978-94-010-6194-0978-94-011-5212-9
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Logarithms and Antilogarithms of Operators Having Either Finite Nullity or Finite Deficiency,Let . ∈ .(.). Recall that the . and the . of . areα. = dim ker ., β. = codim .(dom .) = .respectively.respectively. The index κA of an operator A ∈ L(.) having either finite nullity or finite deficiency is defined as follows:
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Reduction Theorems,We shall consider now a class of commutative .-algebras which are important in some applications and have non-Leibniz components of a particular form. Non-commutative algebras can be treated in a similar manner, but for them all results are much more complicated in the formulation (cf. Example 5.8).
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Linear Equations in Leibniz Algebras,The main purpose of the present chapter is to find solutions of linear equations with an operator . by means of already known properties of right and left logarithms and antilogarithms.
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Trigonometric Mappings and Elements,In this chapter we shall consider particular properties of left and right logarithmic and antilogarithmic mappings in algebras over ℂ.
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