for any reduced commutative $f$-ring with identity and bounded inversion, we show that a condition which is obviously necessary for the socle of the ring to coincide with the socle of its bounded part, is actually also sufficient. the condition is that every minimal ideal of the ring consist entirely of bounded elements. it is not too stringent, and is satisfied, for instance, by rings of conti...

In the last decade, there were many ideas about common European identity in the context of the development and reform of the European Union. Ideas are based on different elements of common identity whether they exist or not. However, it is not so easy to say that common European identity really exists. In this article, the author will try to show in some old and new member states of the Europea...

We count all latin cubes of order n ≤ 6 and latin hypercubes of order n ≤ 5 and dimension d ≤ 5. We classify these (hyper)cubes into isotopy classes and paratopy classes (main classes). For the same values of n and d we classify all d-ary quasigroups of order n into isomorphism classes and also count them according to the number of identity elements they possess (meaning we have counted the d-a...

Present society of Iran, with its young population structure specially after forming and developing modernism and its conflict with tradition as well as the voluminous, various, rapid dominance of mass media has been affected by value conflict whether in micro level of personality or macro level of internalization and turned to a society full of conformance, adaptation, alienation, identity con...

in the case of the crisis of identity, one of the obvious emblems of the objecting new wave in cinema before the islamic revolution is to express the national identity. in this study the problem is to recognize the components of national identity in bahram beyzaie works. introducing the concept of identity ,it’s dimensions and components the ingredients of identity is searched in three main fil...

Xcerpt so far has considered identity a function of the structure and value of a data item (extensional identity). In this paper another approach to identity, viz. surrogate or object identity as in object-oriented programming languages and databases is investigated. It is demonstrated how this approach can solve a number of problems raised by the current Xcerpt, including object updates and th...

All known finite sharply 4-transitive permutation sets containing the identity are groups, namely S4, S5, A6 and the Mathieu group of degree 11. We prove that a sharply 4-transitive permutation set on 11 elements containing the identity must necessarily be the Mathieu group of degree 11. The proof uses direct counting arguments. It is based on a combinatorial property of the involutions in the ...