Displaying similar documents to “On generalized right modular complemented algebras”

On Herstein's theorems relating modularity in A and A.

José A. Anquela (1992)

Extracta Mathematicae

Similarity:

In this paper we will examine the relationship between modularity in the lattices of subalgebras of A and A, for A an associative algebra over an algebraically closed field. To this aim we will construct an ideal which measures the modularity of an algebra (not necessarily associative) in paragraph 1, examine modular associative algebras in paragraph 2, and prove in paragraph 3 that the ideal constructed in paragraph 1 coincides for A and A. We will also examine some properties of the...

Ojective ideals in modular lattices

Shriram K. Nimbhorkar, Rupal C. Shroff (2015)

Czechoslovak Mathematical Journal

Similarity:

The concept of an extending ideal in a modular lattice is introduced. A translation of module-theoretical concept of ojectivity (i.e. generalized relative injectivity) in the context of the lattice of ideals of a modular lattice is introduced. In a modular lattice satisfying a certain condition, a characterization is given for direct summands of an extending ideal to be mutually ojective. We define exchangeable decomposition and internal exchange property of an ideal in a modular lattice....