Recent Publications:
- Ideal Systems. An Introduction to Multiplicative Ideal Theory.
422 pp., Marcel Dekker 1998.
- Characterization of field homomorphisms by functional equations,
gem. m. L. Reich, Publ. Math. Debrecen, 56 (2000), 179 - 183
- Scarcity of finite polynomial orbits gem. m. W. Narkiewicz,
Publ. Math. Debrecen, 56 (2000), 405 - 414
- Characterization of field homomorphisms and derivations by
functional equations, Aequat. Math., 59 (2000), 298 - 305
- Construction of Ideal Systems with Nice Noetherian Properties,
Non-Noetherian Commutative Ring Theory (S. T. Chapman and S. Glaz, eds.),
pp. 271 - 285, Kluwer 2000
- Characterization of derivations by functional equations, Math.
Pannon. 11 (2000), 187 - 190
- Localizing systems, module systems and semistar operations,
J. Algebra 238 (2001), 723 - 761
- Characterization of field homomorphisms by functional equations,
II, gem. m. L. Reich, Aequat. Math. 62 (2001), 184 - 191
- Localizing systems, module systems and semistar operations,
J. Algebra 238 (2001), 723 - 761.
- Inside factorial monoids and integral domains, gem. m. S.
T. Chapman und U. Krause, J. Algebra 252 (2002), 350 - 373.
- Tamely generated ideals in finitary monoids, gem. m. A. Geroldinger,
JP Jour. Algebra, Number Theory & Appl. 2 (2002), 205
- 239.
- Polynomial cycles in finite extension fields, gem. m. P. Kone\v
cn\` a, Math. Slov. 52 (2002), 531-535.
- Inside factorial monoids and integral domains, gem. m.
S. T. Chapman und U. Krause, J. Algebra 252 (2002), 350 - 373.
- Weak module systems and applications: A multiplicative theory
of integral elements and the Marot property, Commutative Ring Theory and
Applications (M. Fontana et al., eds.), pp. 213 - 231, Marcel Dekker 2003.
- Kronecker function rings and generalized integral closures,
Comm. Algebra 31 (2003), 45 - 59.
- Representation of prime powers in arithmetical progressions
by binary quadratic forms, J. Th. Nomb. Bordeaux 15 (2003), 141 -
149.
- Characterization of Prüfer multiplication monoids and
domains by means of spectral localizing systems, Monatsh. Math.
139 (2003), 19 - 31
- The diophantine equation $X^2 - DY^2 =N$ and continued fractions,
gem. m. M. Pacher, JP Jour. Algebra, Number Theory & Appl.
3 (2003), 85 - 120.
- Finitary monoids, gem. m. A. Geroldinger, W. Hassler and F.
Kainrath, Semigroup Forum 67 (2003), 1-21.
- Kronecker function rings and generalized integral closures,
Comm. Algebra 31 (2003), 45 - 59.
- Representation of prime powers in arithmetical progressions
by binary quadratic forms, J. Th. Nomb. Bordeaux 15 (2003), 141 - 149.
- Characterization of Prüfer multiplication monoids and domains
by means of spectral localizing systems, Monatsh. Math. 139 (2003), 19
- 31
- The diophantine equation $X^2 - DY^2 =N$ and continued fractions,
gem. m. M. Pacher, JP Jour. Algebra, Number Theory & Appl. 3 (2003),
85 - 120.
- Ideal-theoretic characterizations of valuation and Prüfer
monoids, Archivum math.
- Congruence monoids, gem. m. A. Geroldinger, Acta Arith. 112
(2004), 263 - 296.
- Remarks on the multiplicative structure of certain one-dimensional
domains, gem. m. W. Hassler und F. Kainrath, Venezia Proceedings.
- On the dual of an ideal and ideal transforms, gem. m. A. Foroutan
und W. Schmidt, Bull. Greek Math. Soc.
- Projective modules and divisor homomorphisms, gem. m. A. Facchini,
J. of Algebra and its Applications.
- Congruence monoids, gem. m. A. Geroldinger, Acta Arith.
- Congruence monoids in Krull domains and the algebraic theory of
C-monoids, Chapel Hill Proceedings.
- Non-Unique Factorizations, Algebraic, combinatorial and analytic theory,
gem. m. A. Geroldinger, ca. 680pp, erscheint bei Taylor & Francis.
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