Unique prime factorization in a partial semigroup of matrix-polynomials

Michael Kaltenbäck; Harald Woracek

Displaying similar documents to “Unique prime factorization in a partial semigroup of matrix-polynomials”

On irreducible matrix semigroups.

I.S. Ponizovskii (1982)

Semigroup forum

Similarity:

Universal bounds for positive matrix semigroups

Leo Livshits, Gordon MacDonald, Laurent Marcoux, Heydar Radjavi (2016)

Studia Mathematica

Similarity:

We show that any compact semigroup of positive n × n matrices is similar (via a positive diagonal similarity) to a semigroup bounded by √n. We give examples to show this bound is best possible. We also consider the effect of additional conditions on the semigroup and obtain improved bounds in some cases.

Prime elements in the semigroup of finite types of partially ordered sets in cardinal multiplication

Ladislav Skula (1968)

Archivum Mathematicum

Similarity:

Positive factors of Wythoff matrices.

K.B. Stolarsky (1996)

Semigroup forum

Similarity:

Combinatorial properties of products of graphs

Vladimír Puš (1991)

Czechoslovak Mathematical Journal

Similarity:

Universal bounds for matrix semigroups

Leo Livshits, Gordon MacDonald, Heydar Radjavi (2011)

Studia Mathematica

Similarity:

We show that any compact semigroup of n × n matrices is similar to a semigroup bounded by √n. We give examples to show that this bound is best possible and consider the effect of the minimal rank of matrices in the semigroup on this bound.

On a type of matrix semigroup.

J.S. Ponizovskii (1992)

Semigroup forum

Similarity:

A simple matrix semigroup which is not completely simple.

A.V. Kelarev (1988)

Semigroup forum

Similarity: