Voltage, absolutely

Absolutely Rigid Systems and Absolutely Indecomposable Groups

We give a new proof that there are arbitrarily large indecomposable abelian groups; moreover, the groups constructed are absolutely indecomposable, that is, they remain indecomposable in any generic extension. However, any absolutely rigid family of groups has cardinality less than the partition cardinal κ(ω). Added December 2004: The proofs of Theorems 0.2 and 0.3 are not correct, and the clai...

A NEW CHARACTERIZATION OF ABSOLUTELY PO-PURE AND ABSOLUTELY PURE S-POSETS

In this paper, we investigate po-purity using finitely presented S-posets, and give some equivalent conditions under which an S-poset is absolutely po-pure. We also introduce strongly finitely presented S-posets to characterize absolutely pure S-posets. Similar to the acts, every finitely presented cyclic S-posets is isomorphic to a factor S-poset of a pomonoid S by a finitely generated right con...

On Absolutely Continuous Transformations

Absolutely Secure Classical Cryptography

Fundamental problem of cryptography is to create more absolutely secure bits than the initially shared secret bits between two legitimate users. It is widely believed that this task can only be accomplished by quantum cryptosystems. We present a simple classical cryptosystem, which can fulfill this objective.

Absolutely expedient imitative behavior

This paper analyzes a model of learning by imitation, where besides the decision maker, there is a population of individuals facing the same decision problem. We analyze a property called Absolute Expediency, which requires that the decision maker’s expected payo¤ increases from one round to the next for every decision problem and every profile of realized actions taken by the population. We gi...