Serdica Mathematical Journal

Volume 42, Numbers 3−4, 2016



C O N T E N T S


A B S T R A C T S


ON n-HOMOGENEOUS C*-ALGEBRAS OVER TWO-DIMENSIONAL NON-ORIENTED COMPACT MANIFOLDS
Mikhail Shchukin mvs777777@gmail.com

2010 Mathematics Subject Classification: Primary 46L05, Secondary 19K99.
Key words: n-homogeneous C*-algebras, algebraic bundle, two-dimensional manifold, classification of C*-algebras, operator algebras.


LIE REGULAR GENERATORS OF GENERAL LINEAR GROUP GL(4, Zn)
Swati Maheshwari swatimahesh88@gmail.com,
R. K. Sharma rksharmaiitd@gmail.com

2010 Mathematics Subject Classification: Primary 20H25, 16U60, 20F05.
Key words: linear group, Lie regular elements.


ON Z2-GRADED POLYNOMIAL IDENTITIES OF sl2(F) OVER A FINITE FIELD
Luís Felipe Gonçalves Fonseca luisfelipe@ufv.br

2010 Mathematics Subject Classification: 16R10, 17B01, 15A72, 17B70.
Key words: Graded identities, Lie algebras, finite basis of identities.


THE ISOPERIMETRIC NUMBER OF A GENERALIZED PALEY GRAPH
Spencer Johnson,
Anthony Shaheen ashahee@calstatela.edu,
Gustavo Subuyuj gsubuyu@calstatela.edu

2010 Mathematics Subject Classification: Primary 05C99; Secondary 11A07.
Key words: isoperimetric number, expansion number, Paley graph, Generalized Paley graph.


DERIVATIONS IN FINITE ENDOMORPHISM SEMIRINGS
Dimitrinka I. Vladeva d_vladeva@abv.bg

2010 Mathematics Subject Classification: 06A05, 12H05, 16Y60, 16W20.
Key words: Semiring, endomorphism semiring of a finite chain, differential algebra, simplicial complex.


CENTRE DE MASSE ET NOUVELLES INEGALITES POUR LA NORME ET LE RAYON NUMERIQUE D'UN OPERATEUR LINEAIRE BORNE
Abderrahim Baghdad bagabd66@gmail.com,
Mohamed Chraïbi Kaadoud chraibik@uca.ac.ma,
Moulay Taieb Loumi loumi@uca.ac.ma

2010 Mathematics Subject Classification: 47A05, 47A12, 47A30, 30B10.
Key words: Domaine numérique, domaine numérique maximal, rayon numérique, centre de masse, et distance aux scalaires.


DELETION-CORRECTING CODES AND DOMINANT VECTORS
Emil Kolev emil@math.bas.bg

2010 Mathematics Subject Classification: 94B05.
Key words: insertion/deletion codes, Varshamov-Tenengolts codes, multiple insertion/deletion codes.


EXTENDING THE APPLICABILITY OF NEWTON-SECANT METHODS FOR FUNCTIONS WITH VALUES IN A CONE
Ioannis K. Argyros iargyros@cameron.edu,
Santhosh George sgeorge@nitk.ac.in

2010 Mathematics Subject Classification: 65G99, 90C30, 49J53.
Key words: Newton-secant method, semilocal convergence, variational inclusion, generalized continuity conditions.


TRANSITION TO CANONICAL PRINCIPAL PARAMETERS ON MAXIMAL SPACELIKE SURFACES IN MINKOWSKI SPACE
Georgi Ganchev ganchev@math.bas.bg,
Krassimir Kanchev kbkanchev@yahoo.com,
Ognian Kassabov okassabov@abv.bg,

2010 Mathematics Subject Classification: Primary 53A10, Secondary 53A05.
Key words: Maximal surfaces, canonical principal parameters.


OVERDETERMINED STRATA FOR DEGREE 6 HYPERBOLIC POLYNOMIALS
Ezzaldine Hayssam haysam82@hotmail.com

2010 Mathematics Subject Classification: 12D10, 14P05, 26C10, 13P15, 13P10.
Key words: hyperbolic polynomials, Gegenbauer polynomials, overdetermined strata, resultants.


A NOTE ON RESIDUALS IN GROUPS WITH~QUASICENTRAL ABELIAN NORMAL SUBGROUPS
L. A. Kurdachenko lkurdachenko@i.ua,
I. Ya. Subbotin isubboti@nu.edu

2010 Mathematics Subject Classification: 20E15, 20F19.
Key words: hypocentral series, hypercentral series, transitivity of normality, nilpotent residual.


COPULAS ON SOBOLEV SPACES
Iordan Iordanov haysam82@hotmail.com,
Nikolay Chervenov nikolay.tchervenov@gmail.com, nikolay.chervenov@bnpparibas.com

2010 Mathematics Subject Classification: 35L05, 35L20, 62F10, 62F12, 62F99.
Key words: copula, boundary value problem, 2-increasing function.


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