Simple (-1, 1) Rings

β 1 Near - Rings

distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this paper we introduce the notion of β 1 near-rings and study some of their properties. We furnish a complete characterization and also a structure theorem for such near-rings. 1 Introduction A right ...

Rings of functions with integer derivatives at x=1

1 v 1 1 1 Se p 20 00 Entangled Rings Kevin

Consider a ring of N qubits in a translationally invariant quantum state. We ask to what extent each pair of nearest neighbors can be entangled. Under plausible assumptions about the form of the optimal state, we find a formula for the maximum possible nearest-neighbor entanglement. We then compare this maximum with the entanglement achieved by the ground state of an antiferromagnetic ring cons...

Deterministic Pda and Simple Languages 1 1

A context-free language is said to be simple if it is accepted by a single-state deterministic pushdown automaton with empty Stack acceptance. This paper proves that it is decidable whether a deterministic pushdown automaton (dpda) accepts a simple language. For this purpose, we prove that it is decidable whether a real-time dpda with empty stack acceptance accepts a simple language. To prove t...

. R A ] 1 0 Ja n 20 04 PROJECTIVELY SIMPLE RINGS

We introduce the notion of a projectively simple ring, which is an infinite-dimensional N-graded k-algebra A such that dimk A/I < ∞ for every nonzero 2-sided ideal I ⊂ A. We show that if a projectively simple ring A is strongly noetherian, is generated in degree 1, and has a point module, then A is equal in large degree to a twisted homogeneous coordinate ring B = B(X,L, σ). Here X is a smooth ...