For the Supposition of KARCEVSKIJ Sergej
Meaning Minimum of Language
October 5, 2011
[Preparation]
,
is graded ring and integral domain.
For negative e, 
.
.
R's quotient field element is called homogeneous when R's quotient field element is ratio f/g of homogeneous element 
.
.
Its degree is defined by 
.
.
<Definition>
At R's quotient field, subfield made by degree 0's whole homogeneous elements,
,
is expressed by 
.
.
For homogeneous element 
,
,
subring of field ,
,
,
is expressed by 
.
.
For graded ring,
,
algebraic variety that is quotient field that whole 
for homogeneous element is gotten by gluing in common quotient field is expressed by Proj R.
is quotient field that whole for homogeneous element is gotten by gluing in common quotient field is expressed by Proj R.
Proj R of graded ring
, ,
is called projective algebraic variety.
<Composition>
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]
This paper has been published by Sekinan Research Field of Language.
All rights reserved.
© 2011 by The Sekinan Research Field of Language
All rights reserved.
© 2011 by The Sekinan Research Field of Language
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