Abstract
We prove that a complete local or graded one-dimensional domain of prime characteristic has finite F-representation type if its residue field is algebraically closed or finite, and present examples of complete local or graded one-dimensional domains which do not have finite F-representation type with perfect residue fields. We also present some examples of higher dimensional rings of finite F-representation type.
Original language | English |
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Pages (from-to) | 434-441 |
Number of pages | 8 |
Journal | Journal of Algebra |
Volume | 332 |
Issue number | 1 |
DOIs | |
Publication status | Published - Apr 15 2011 |
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All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
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One-dimensional rings of finite F-representation type. / Shibuta, Takafumi.
In: Journal of Algebra, Vol. 332, No. 1, 15.04.2011, p. 434-441.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - One-dimensional rings of finite F-representation type
AU - Shibuta, Takafumi
PY - 2011/4/15
Y1 - 2011/4/15
N2 - We prove that a complete local or graded one-dimensional domain of prime characteristic has finite F-representation type if its residue field is algebraically closed or finite, and present examples of complete local or graded one-dimensional domains which do not have finite F-representation type with perfect residue fields. We also present some examples of higher dimensional rings of finite F-representation type.
AB - We prove that a complete local or graded one-dimensional domain of prime characteristic has finite F-representation type if its residue field is algebraically closed or finite, and present examples of complete local or graded one-dimensional domains which do not have finite F-representation type with perfect residue fields. We also present some examples of higher dimensional rings of finite F-representation type.
UR - http://www.scopus.com/inward/record.url?scp=79952183346&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79952183346&partnerID=8YFLogxK
U2 - 10.1016/j.jalgebra.2011.01.009
DO - 10.1016/j.jalgebra.2011.01.009
M3 - Article
AN - SCOPUS:79952183346
VL - 332
SP - 434
EP - 441
JO - Journal of Algebra
JF - Journal of Algebra
SN - 0021-8693
IS - 1
ER -