A note on noncommutative even square rings

A Note on Noncommutative Polynomials

1. Introduction. We shall say that an integral domain1 R satisfies condition (M) if any two nonzero elements of R have a nonzero common right multiple. In this note it is proved that if 5 is an extension of a ring R such that S is, roughly speaking, a noncommutative polynomial ring in one variable with R as a coefficient ring, and if R has the property (M), then 5 has property (M). In case R is...

A Note on Character Square

We study the finite groups with an irreducible character χ satisfying the following hypothesis: χ2 has exactly two distinct irreducible constituents, and one of which is linear, and then obtain a result analogous to the Zhmud’s ([8]).

A Note on Square Totients

A Note on Noncommutative and False Noncommutative Spaces

We show that the algebra of functions on noncommutative space allows two different representations. One is describing the genuine noncommutative space, while another one can be rewritten in commutative form by a redefinition of generators. Noncommutative geometry (for a recent review see e.g. [1]) plays an important rôle in both string theory, since it provides a tool for description of brane d...

A Note on Noncommutative Brane Inflation

In this paper, we investigate the noncommutative KKLMMT D3/D3 brane inflation scenario in detail. Incorporation of the brane inflation scenario and the noncommutative inflation scenario can nicely explain the large negative running of the spectral index as indicated by WMAP three-year data and can significantly release the fine-tuning for the parameter β. Using the WMAP three year results (blue...