The five- and nine-lemmas in P-semi-abelian categories.
Kopylov, Ya.A. (2009)
Sibirskij Matematicheskij Zhurnal
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Kopylov, Ya.A. (2009)
Sibirskij Matematicheskij Zhurnal
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Kuz'minov, V.I., Shvedov, I.A. (2000)
Siberian Mathematical Journal
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Min Ku, Uwe Kähler, Paula Cerejeiras (2012)
Archivum Mathematicum
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In this paper a class of polynomially generalized Vekua–type equations and of polynomially generalized Bers–Vekua equations with variable coefficients defined in a domain of Euclidean space are discussed. Using the methods of Clifford analysis, first the Fischer–type decomposition theorems for null solutions to these equations are obtained. Then we give, under some conditions, the solutions to the polynomially generalized Bers–Vekua equation with variable coefficients. Finally, we present...
Glotko, N.V., Kuz'minov, V.I. (2002)
Sibirskij Matematicheskij Zhurnal
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D. Przeworska-Rolewicz (2000)
Banach Center Publications
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Let X be a Leibniz algebra with unit e, i.e. an algebra with a right invertible linear operator D satisfying the Leibniz condition: D(xy) = xDy + (Dx)y for x,y belonging to the domain of D. If logarithmic mappings exist in X, then cosine and sine elements C(x) and S(x) defined by means of antilogarithmic mappings satisfy the Trigonometric Identity, i.e. whenever x belongs to the domain of these mappings. The following question arises: Do there exist non-Leibniz algebras with logarithms...
Veprintsev, D.V., Myl'nikov, A.L. (2008)
Sibirskij Matematicheskij Zhurnal
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Dobritsa, V.P., Yakh'yaeva, G.Eh. (2002)
Sibirskij Matematicheskij Zhurnal
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Davvaz, B. (2010)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Bonciocat, N.C., Zaharescu, A. (2005)
Acta Mathematica Universitatis Comenianae. New Series
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Wysocki, Hubert, Zellma, Marek (2005)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 44A40, 45B05 The paper presents an abstract linear second kind Fredholm integral equation with degenerated kernel defined by means of the Bittner operational calculus. Fredholm alternative for mutually conjugated integral equations is also shown here. Some examples of solutions of the considered integral equation in various operational calculus models are also given.