in this paper we define a new type of rings ”almost powerhermitian rings” (a generalization of almost hermitian rings) and establish several sufficient conditions over a ring r such that, every regular matrix admits a diagonal power-reduction.

In this paper we define a new type of rings ”almost powerhermitian rings” (a generalization of almost hermitian rings) and establish several sufficient conditions over a ring R such that, every regular matrix admits a diagonal power-reduction.

We study perpetuality in calculi with explicit substitutions having full composition. A simple perpetual strategy is used to define strongly normalising terms inductively. This gives a simple argument to show preservation of β-strong normalisation as well as strong normalisation for typed terms. Particularly, the strong normalisation proof is based on implicit substitution rather than explicit ...

one of the important subject is the legal status of great dowry; if it is a designated property, the agreement is valid because there is not any limitation on the dowry and spouses can fix it at any amount they may wish in accordance with article 1089 of code civil. if is a general nature property and the husband has the power to deliver it, the agreement is valid but if he has not the power, t...

In the framework of explicit substitutions there is two termination properties: preservation of strong normalization (PSN), and strong normalization (SN). Since there are not easily proved, only one of them is usually established (and sometimes none). We propose here a connection between them which helps to get SN when one already has PSN. For this purpose, we formalize a general proof techniqu...

It is a question of income. The increase in the global inequality of income distribution has to do with the global distribution of property and property rights. At present the richest 1% of the world’s population has income equal to that of the bottom 57%, in other words, ca. 50 million wealthy people have the same amount of money at their disposal as 2.7 billion poor. The top 10% of the U.S. p...