Stable and Unstable of Language For the Supposition of KARCEVSKIJ Sergej Meaning Minimum of Language

 Stable and Unstable of Language

For the Supposition of KARCEVSKIJ Sergej

Meaning Minimum of Language

TANAKA Akio

October 5, 2011

[Preparation]

 ,

is graded ring and integral domain.

For negative e,  .

R's quotient field element is called homogenious when R's quotient field element is ratio f/g of homogenious element  .

Its degree is defined by .

<Definition>

At R's quotient field, subfield made by degree 0's whole homogenious elements,

 ,

is expressed by  .

For homogenious element  ,

subring of field  ,

 ,

is expressed by  .

For graded ring,

 ,

algebraic variety that  is quotient field that whole  for homogenious element  is gotten by gluing in common quotient field is expressed by Proj R.

Proj R of graded ring

,

 ,

is called projective algebraic variety.

<Conposition>

Projective algebraic variety is complete.

◊

<System>

Moduli of hypersurface,

,

is complete algebraic variety.

◊

 ,

is sum set of,

 ,  .

◊

[Interpretation]

Word is expressed by,

 .

Meaning minimum of word is expressed by,

,  .

For meaning minimum,

refer to the next.

[References]

Cell Theory / From Cell to Manifold / Tokyo June 2, 2007

Holomorphic Meaning Theory 2 / Tokyo June 19, 2008

Amplitude of meaning minimum / Complex Manifold Deformation Theory / Conjecture A4 / Tokyo December 17, 2008

Gromov-Witten Invariant / Symplectic Language Theory / Tokyo February 27,2009

Generating Function / Symplectic Language Theory / Tokyo March 17, 2009

This paper has been published by Sekinan Research Field of Language.
© 2011 by The Sekinan Research Field of Language