An Inquiry into the Nature and Causes of the Wealth of by Adam Smith

An Inquiry into the Nature and Causes of the Wealth of by Adam Smith

By Adam Smith

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In the general case of associative complex algebras this is not true. 1. Introduction The main purpose of this talk is to remember the old theory of holomorphicity on commutative and associative real and complex algebras and to indicate some possible interconnections with the contemporary theory of many complex variables. According to the classical Frobenius theorem the set of complex associative algebras without divisors of zero reduces to two algebras only, namely, the field of complex numbers and the non-commutative algebra of quaternions.

86 (1922). 5. S. Tachibana, S. Koto, Tohoku Math. J. 14 (1962), 177-186. 6. S. Dimiev and P. hrlinska, Holomorphic bi-complex functions (to be pub- lished). 7. B. Kiradjiev and P. , 64 (2003) 1, 99-104. GENERALIZED PARALLELISM AND FIELD EQUATIONS STOIL DONEV Bulgarian Academy of Sciences Institute for Nuclear Research and Nuclear Energy, Blvd. Tzarigradsko chaussee 72 1784 Sofia - Bulgaria E-mail: sdonevQinrne. bas. bg MARIA TASHKOVA Bulgarian Academy of Sciences Institute for Nuclear Research and Nuclear Energy, Blud.

Math. 6 (1983), 267-285. BI-COMPLEX HOLOMORPHICITY STANCH0 DIMIEV Plovdiv University - Filial Smolyan, 3700 Smolyan - Bulgaria, Institute of Mathematics and Informatics Acad. net In this paper the interconnection between holomorphic and analytic functions is studied in the case of the algebra of bi-complex numbers. It is proved that each holomorphic bi-complex function is bi-complex analytic. In the general case of associative complex algebras this is not true. 1. Introduction The main purpose of this talk is to remember the old theory of holomorphicity on commutative and associative real and complex algebras and to indicate some possible interconnections with the contemporary theory of many complex variables.

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