Serdica Mathematical Journal

Volume 45, Number 1, 2019




C O N T E N T S

· Shchukin, M. On 2-homogeneous C*-algebras over two-dimensional oriented manifolds generated by three idempotents (pp. 1−8)
· Sharma, C., K. Raj. Generalized strong Cesàro spaces of lacunary statistical convergent sequences (pp. 9−22)
· Sarić, B. On Cauchy's residue theorem in ℝN (pp. 23−34)
· Sharma, R. K., A. B. Singh Zip property of skew Hurwitz series rings and modules (pp. 35−54)
· Ellouz, H., I. Feki, A. Jeribi. On the asymptotic behavior of the eigenvalues of an analytic operator in the sense of Kato and applications (pp. 55−88)

A B S T R A C T S


ON 2-HOMOGENEOUS C*-ALGEBRAS OVER TWO-DIMENSIONAL ORIENTED MANIFOLDS GENERATED BY THREE IDEMPOTENTS
Mikhail Shchukin mvs777777@gmail.com

2010 Mathematics Subject Classification: Primary 46L05, Secondary 16U99.
Key words: n-homogeneous C*-algebras, idempotent, two-dimensional manifold, number of generators, operator algebras.


GENERALIZED STRONG CESÀRO SPACES OF LACUNARY STATISTICAL CONVERGENT SEQUENCES
Charu Sharma charu145.cs@gmail.com,
Kuldip Raj kuldipraj68@gmail.com

2010 Mathematics Subject Classification: 40A35, 40C05, 46A45.
Key words: modulus function, lacunary sequence, Generalized difference sequence space, density, statistical convergence, strong Cesàro summability.


ON CAUCHY'S RESIDUE THEOREM IN ℝN
Branko Sarić saric.b@mts.rs

2010 Mathematics Subject Classification: Primary 26B20; Secondary 26A39.
Key words: Spatial (integral) derivative, total H integrability, Cauchy's residue theorem.


ZIP PROPERTY OF SKEW HURWITZ SERIES RINGS AND MODULES
R. K. Sharma rksharmaiitd@gmail.com,
Amit B. Singh amit.bhooshan84@gmail.com

2010 Mathematics Subject Classification: 16S85, 16U80, 16S10.
Key words: zip ring, zip module, Σ-zip ring, skew Hurwitz series ring, skew Hurwitz series module, reduced ring, ω-compatible ring, ω-compatible module, skew Hurwitz series-wise Armendariz, ω-Armendariz of skew Hurwitz series type.