A C *-algebra A is called an ideal C * -algebra (or equally a dual algebra) if it is an ideal in its bidual A**. M.C.F. Berglund proved that subalgebras and quotients of ideal C*-algebras are also ideal C*-algebras, that a commutative C *-algebra A is an ideal C *-algebra if and only if it is isomorphicto C (Q) for some discrete space ?. We investigate ideal J*-algebras and show that the a...

In ring and module theory, the concept of an exact sequence is commonly employed. The generalized into U-exact V-coexact sequence. Rough set theory has also been applied to a variety algebraic structures, including groups, rings, modules, others. this study, we investigated characteristics rough in groups

We define the lower(upper) rough soft formal concept in the rough soft formal context, and using the soft set define the rough soft formal concept lattice, give the properties of the soft rough formal concept lattices.

Residuation is a fundamental concept of ordered structures and categories. In this survey we consider the consequences of adding a residuated monoid operation to lattices. The resulting residuated lattices have been studied in several branches of mathematics, including the areas of lattice-ordered groups, ideal lattices of rings, linear logic and multi-valued logic. Our exposition aims to cover...

In the last few years, cryptographic multilinear maps have proved their tremendous potential as building blocks for new constructions, in particular the first viable approach to general program obfuscation. After the first candidate construction by Garg, Gentry and Halevi (GGH) based on ideal lattices, a second construction over the integers was described by Coron, Lepoint and Tibouchi (CLT). H...

OBJECTIVES We develop and test a conceptual model of factors influencing women's ideal family size (IFS) in a natural fertility population, the Tsimane of Bolivia. The model posits affects of socioecology, reproductive history, maternal condition, and men's IFS. We test three hypotheses for why women may exceed their IFS despite experiencing socioeconomic development: (H(1) ) limited autonomy; ...

This essay shows that a moral sense or moral sentiments alone cannot identify appropriate morals. To this end, the essay analyzes three defenses of Francis Hutcheson’s, David Hume’s, and Adam Smith’s moral sense theories against the relativism charge that a moral sense or moral sentiments vary across people, societies, cultures, or times. The first defense is the claim that there is a universal...

The increasing concern of the policy maker about eating behaviour has focused on the spread of obesity and on the evidence of people dieting despite being underweight. As the latter behaviour is often attributed to the social pressure to be thin, some governments have already taken actions to ban ultra-thin ideals and models. This paper proposes a theoretical framework to assess whether increas...