On the Word Problem for the Modular Lattice with Four Free Generators.
Unit-regularity and representability for semiartinian -regular rings
We show that any semiartinian -regular ring is unit-regular; if, in addition, is subdirectly irreducible then it admits a representation within some inner product space.
Generators of existence varieties of regular rings and complemented Arguesian lattices
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.
Zum Begriff der Charakteristik modularer Verbände.
A characterization of subgroup lattices of finite abelian groups.
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