Generators of existence varieties of regular rings and complemented Arguesian lattices

• Autorzy: Christian Herrmann , Marina Semenova
• Języki publikacji: EN

Abstrakty

EN

We proved in an earlier work that any existence variety of regular algebras is generated by its simple unital Artinian members, while any existence variety of Arguesian sectionally complemented lattices is generated by its simple members of finite length. A characterization of the class of simple unital Artinian members [members of finite length, respectively] of such varieties is given in the present paper.

Słowa kluczowe

EN

Complemented modular lattice; Regular ring; Existence variety; Matrix ring

Kategorie tematyczne

• 06C20: Complemented modular lattices, continuous geometries
• 51D25: Lattices of subspaces
• 16E50: von Neumann regular rings and generalizations

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2010
• Tom: 8
• Numer: 5
• Strony: 827-839

Daty

wydano

2010-10-01

online

2010-09-28

Twórcy

autor

Christian Herrmann

• TUD FB4

autor

Marina Semenova

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-010-0056-x