[See also Tropical algebra and Tropical geometry.]
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G. Betsch (ed.): Near-rings and near-fields. Elsevier 1987.

Jonathan Golan: The theory of semirings.
Pitman 1992, 320p. $140.

Jonathan Golan: Semirings and their applications.
Springer 1999, 400p. Eur 189.

Jonathan Golan: Power algebras over semirings.
Springer 1999, 200p. Eur 115.

Jonathan Golan: Semirings and affine equations over them.
Springer 2003, 250p. Eur 103.

Martin Goldstern: Vervollsta''ndigung von Halbringen.
Diplomarbeit Wien, ca. 1985.

Udo Hebisch: On special Qr-filters of semigroups, semirings and rings.
Semigroup Forum 30 (1984), 195-210.

Udo Hebisch: The Kleene theorem in countably complete semirings.
Bayreuther Math. Schriften 31 (1990), 55-66.

Udo Hebisch: Eine algebraische Theorie unendlicher Summen mit
Anwendungen auf Halbgruppen und Halbringe.
Bayr. Math. Schriften 40 (1992), 21-152.

Udo Hebisch: Partial orders in semigroups and semirings of right
quotients. Semigroup Forum 49 (1994), 165-174.

Udo Hebisch/L. van Leeuwen: On additively or multiplicatively idempotent
semirings and partial orders. Springer LN Math. 1320 (1988) ?, 154-161.

Udo Hebisch/Hanns Weinert: On euclidean semirings.
Kyungpook Math. J. 27 (1987), 61-88.

Udo Hebisch/Hanns Weinert: Euclidean seminearrings and nearrings.
In Betshc 1987, ...

Udo Hebisch/Hanns Weinert: Semirings without zero divisors.
Math. Pann. 1 (1990), 73-94.

7253 Udo Hebisch/Hanns Weinert: Halbringe. Algebraische Theorie und 
Anwendungen in der Informatik. Teubner 1993, 360p. 3-519-02091-2. DM 43.

Udo Hebisch/Hanns Weinert: Semirings and semifields.
In Handbook of Algebra I (1996), 425-462.

Udo Hebisch/Hanns Weinert: Radical theory for semirings.
Quaestiones Math. 20 (1997), 647-661.

G. Pilz: Near-rings. North-Holland 1977.

L. Redei: Algebra.