States on commutative basic algebras were considered in the literature as generalizations of states on MV-algebras. It was a natural question if states exist also on basic algebras which are not commutative. We answer this question in the positive and give several examples of such basic algebras and their states. We prove elementary properties of states on basic algebras. Moreover, we introduce the concept of a state-morphism and characterize it among states. For basic algebras which are the certain pastings of Boolean algebras the construction of a state-morphism is shown.
The relation of power, state, law and poverty. State according to law (Rule of Law) and social policy. The origin, definition and development of the welfare state. Welfare state in the framework of the European Union. The relation of the welfare state and social state. Constitutional, legal and socio-economical targets of the welfare (social) state. The welfare state typologies. The three worlds of the welfare state. Global processes and the welfare state reforms and transformations. Welfare state and bureaucracy, centralization and de- centralization in the implementations of the welfare state. The welfare state and highly developed countries and central european countries of the European Unio