Assistant Professor of Mathematics - The University of Texas
at El Paso
, 2001
Department of Mathematical
Sciences
, 500 West University Ave. El Paso, Texas 79968-0514, U.S.A.
Office: Bell Hall 202, Office Phone: (915)747-6758
E-mail:sehwab@math.utep.edu
Associate Professor of Mathematics -
The University
of Oradea,
Romania
, 1997
Department of Mathematics, Str.Armatei Romane #5, 3700 Oradea,
Romania
- Ph.D. in Mathematics,
University "Babes-Bolyai"
of Cluj-Napoca"
, Romania, 1995.
- Licentiate in Mathematics,
West University
of Timisoara
, Romania,1987.
TEACHING EXPERIENCE:
Abstract Algebra, Linear Algebra, Special Chapters
of Algebra, Combinatorics, Number Theory, Foundation of Mathematics,
Discrete Mathematics, Applied Math.for Engineers, Applied Math.
for Business, Mathematics Education, Calculus
RESARCH INTEREST:
- Number Theory - Arithmetical Functions
- Algebraic Structures - Inverse Semigroups and Division Categories
- Algebraic Combinatorics - Möbius Function and Möbius
Categories
- Mathematics Education - Teaching Problems Solving and Heuristic
Strategies
PUBLICATIONS
TEXT-BOOKS
- Problems in Finite Group Theory , Scholargy-Tempe,
Arizona, 2003. (with G.Silberberg)
- Algebraic Structures. Modules. Homological Methods,
Crican-Oradea, Romania,1997.
- Algebraic Structures. Rings, Multiprint-Oradea, Romania,1994.
SELECTIVE LIST OF PAPERS:
- Möbius Categories as Reduced Standard Division Categories of
Combinatorial Inverse Monoids,
Semigroup Forum, Springer-Verlag New-York, vol 69 (2004), 30-40.
- The Möbius Category of Some Combinatorial Inverse Semigroups
,
Semigroup Forum, Springer-Verlag New-York, vol 69 (2004), 41-50.
- Characterizations of Lambek-Carlitz Type,
Archivum Mathematicum, Tomus 40, #3 (2004), 295-300.
- On Triangular Categories,
Houston Journal of Mathematics, vol 29, no1 (2003),
25-40.
- The Inverse Baer*-Category of a Chain, (with E.H.
Schwab)
Radovi Matematicki, Sarajevo, vol 11 (2002), 1-5.
- Pulbacks and Pushouts in Triangular Categories, (with E.H.
Schwab)
Proceedings of the Algebra Symposium, "Babes-Bolyai" Univ., (2002), 253-260.
- The Valuated Ring of the Arithmetical Functions as a Power Series Ring,
(with G. Silberberg)
Arhivum Matematicum, Tom. 37, #1 (2001), 77-80 .
- A Note on Some Discrete
Valuation Rings of Arithmetical Functions, (with G. Silberberg)
Arhivum Matematicum, Tom. 36, #2 (2000), 77-80 .
- Bemerkungen mit bezug auf die Anzahl der zyklischen
Untergruppen von gegebener Ordnung im Falle einer endlichen Gruppe,
Bull.of Univ."Politehnica"of Timisoara ,Tom 44 (58),1
(1999), (joint work).
- Characterization of A-multiplicative
functions via the Haukkanen's functions,
Journal of Nat Sci and Math, Vol.39 No.1(1999) ,1-5
- .Uber die Anzahl der zyklischen Untergruppen
gegebener Ordnung im Falle einer endlichen Gruppe,
Nieuw Archief voor Wiskunde- (IV)16, (1998), 143-151,
(joint work).
- Complete multiplicativity and complete
additivity in Mobius Categories,
Italian Journal of Pure and Applied Math. No.3 (1998),
37-48.
- Aplicatii ale teoriei numerelor in studiul
grupurilor finite(Applications of number theory in the study of finite
groups),
Seminar ArghiriadeNo.28, Univ. of Timisoara ,(1997),(joint
work).
- Incidence algebra of a triangular category
and calculus of fractions,
Combinatorics'96, Assisi (Italy), (1996), p.171 (summary),(joint
work).
- Regular convolutions and A-additive arithmetical
functions,
Pure Math and Appl. No. 1-2 (1996), 183-190.
- Multiplicativite dans les categories de
Mobius,
Bull. for Appl Math. (1996), 147-164, (joint work).
- Dirichlet product and completely additive
arithmetical functions,
Nieuw Archief voor Wiskunde, Vierde serie Deel 13, No.2
(1995), 187-193.
- On completely multiplicative incidence
functions in triangular categories,
Analele Univ. Oradea 4, (1994), 30-32.
- On a completely additive incidence function,
Pure Math. and Appl, Vol. 5, No. 2 (1994), 201-204.
- Multiplicative and additive elements in
the ring of formal power series,
Pure Math. and Appl, Ser. A , Vol. 4, No. 3 (1993), 339-346.
- Definitions equivalentes de la multiplicativite
dans les algebras incidents reduites,
Proceedings of the Conference on Algebra, Univ "Babes-
Bolyai"of Cluj- Napoca,18-20 Sept. 1991, (1992), 109-114.
- Total Additivity and Summation Function,
Seminar Arghiriade No.25, Univ.of Timisoara, (1990),
(joint work).
- On Some Elementary Number Theoretic Inequalities
Involving the Dirichlet Convolution,
Seminar Arghiriade No.24 Univ. of Timisoara, (1990),
(joint work).
- Elements multiplicatifs d'une algebre
incidente,
Seminar Arghiriade, No.18, Univ. of Timisoara, (1989),
(joint work).
- Cyclic subgroups of the group of multiplicative
arithmetic functions,
Proc. of the Algebra Conference University of Brasov,
(1989), 127-132, (joint work).
Created
, Sept.2001 by:
GPASO
