DSpace Collection: Volume 36, Number 2
http://hdl.handle.net/10525/2682
Serdica Mathematical Journal Volume 36, Number 2, 2010The Collection's search engineSearch the Channelsearch
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Normal and Normally Outer Automorphisms of Free Metabelian Nilpotent Lie Algebras
http://hdl.handle.net/10525/2700
Title: Normal and Normally Outer Automorphisms of Free Metabelian Nilpotent Lie Algebras<br/><br/>Authors: Fιndιk, Şehmus<br/><br/>Abstract: Let Lm,c be the free m-generated metabelian nilpotent of class c Lie algebra over a field of characteristic 0. An automorphism φ of Lm,c is called normal if φ(I) = I for every ideal I of the algebra Lm,c. Such automorphisms form a normal subgroup N(Lm,c) of Aut (Lm,c) containing the group of inner automorphisms. We describe the group of normal automorphisms of Lm,c and the quotient group of Aut (Lm,c) modulo N(Lm,c).<br/><br/>Description: 2000 Mathematics Subject Classification: 17B01, 17B30, 17B40.Fri, 01 Jan 2010 00:00:00 GMTMore lr saturated L∞ spaces
http://hdl.handle.net/10525/2699
Title: More lr saturated L∞ spaces<br/><br/>Authors: Gasparis, I.; Papadiamantis, M. K.; Zisimopoulou, D. Z.<br/><br/>Abstract: Given r ∈ (1, ∞), we construct a new L∞ separable Banach space which is lr saturated.<br/><br/>Description: 2000 Mathematics Subject Classification: 05D10, 46B03.Fri, 01 Jan 2010 00:00:00 GMTTotally Umbilical Pseudo-Slant Submanifolds of a Nearly Cosymplectic Manifold
http://hdl.handle.net/10525/2698
Title: Totally Umbilical Pseudo-Slant Submanifolds of a Nearly Cosymplectic Manifold<br/><br/>Authors: Khan, M. A.; Uddin, Siraj; Singh, Khushwant<br/><br/>Abstract: In the present note we study totally umbilical pseudo-slant submanifolds of a nearly cosymplectic manifold. We have obtained a classification theorem for totally umbilical pseudo-slant submanifolds of a nearly cosymplectic manifold.<br/><br/>Description: 2000 Mathematics Subject Classification: 53C40, 53B25.Fri, 01 Jan 2010 00:00:00 GMTFractional Trigonometric Korovkin Theory in Statistical Sense
http://hdl.handle.net/10525/2697
Title: Fractional Trigonometric Korovkin Theory in Statistical Sense<br/><br/>Authors: Anastassiou, George A.; Duman, Oktay<br/><br/>Abstract: In the present paper, we improve the classical trigonometric Korovkin theory by using the concept of statistical convergence from the summability theory and also by considering the fractional derivatives of functions. We also show that our new results are more applicable than the classical ones.<br/><br/>Description: 2000 Mathematics Subject Classification: 41A25, 41A36.Fri, 01 Jan 2010 00:00:00 GMTWeitzenböck Derivations and Classical Invariant Theory: I. Poincaré Series
http://hdl.handle.net/10525/2696
Title: Weitzenböck Derivations and Classical Invariant Theory: I. Poincaré Series<br/><br/>Authors: Bedratyuk, Leonid<br/><br/>Abstract: By using classical invariant theory approach, formulas for computation of the Poincaré series of the kernel of linear locally nilpotent derivations are found.<br/><br/>Description: 2000 Mathematics Subject Classification: 13N15, 13A50, 16W25.Fri, 01 Jan 2010 00:00:00 GMT