Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

Generators of existence varieties of regular rings and complemented Arguesian lattices

Christian Herrmann;  Marina Semenova — 2010

Open Mathematics

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.

Ideals in distributive posets

Cyndyma Batueva;  Marina Semenova — 2011

Open Mathematics

We prove that any ideal in a distributive (relative to a certain completion) poset is an intersection of prime ideals. Besides that, we give a characterization of n-normal meet semilattices with zero, thus generalizing a known result for lattices with zero.

Page 1

Download Results (CSV)