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Generators of existence varieties of regular rings and complemented Arguesian lattices

100%

Herrmann C., Semenova M.

Open Mathematics

2010

tom 8

nr 5

827-839

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.

On the Drazin index of regular elements

100%

Patrício P., Costa A.

Open Mathematics

2009

tom 7

nr 2

200-205

It is known that the existence of the group inverse a # of a ring element a is equivalent to the invertibility of a 2 a − + 1 − aa −, independently of the choice of the von Neumann inverse a − of a. In this paper, we relate the Drazin index of a to the Drazin index of a 2 a − + 1 − aa −. We give an alternative characterization when considering matrices over an algebraically closed field. We close with some questions and remarks.

Ograniczanie wyników

2 Open Mathematics

1 Costa A.

1 Herrmann C.

1 Patrício P.

1 Semenova M.

1 2010

1 2009

Wyniki wyszukiwania

Generators of existence varieties of regular rings and complemented Arguesian lattices

On the Drazin index of regular elements