Semirings which are unions of rings

Semirings which are unions of rings

Semirings which are a disjoint union of rings form a variety S which contains the variety of all rings and the variety of all idempotent semirings, and in particular, the variety of distributive lattices. Various structure theorems are established which bring insight into the structure of the lattic...

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Veröffentlicht in:Science China. Mathematics 2002-02, Vol.45 (2), p.172-195
Hauptverfasser: Pastijn, F., Guo, Yuqi
Format: Artikel
Sprache:eng
Schlagworte:
Lattices
Rings (mathematics)
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Beschreibung
Zusammenfassung:Semirings which are a disjoint union of rings form a variety S which contains the variety of all rings and the variety of all idempotent semirings, and in particular, the variety of distributive lattices. Various structure theorems are established which bring insight into the structure of the lattice of subvarieties of S.
ISSN:1869-1862
1674-7283
1869-1862
DOI:10.1360/02ys9020