Premium
On the Existence of Elements of Non‐Nilpotent Finite Closed Descent in Commutative Radical FréChet Algebras
Author(s) -
Kopp M. K.
Publication year - 2004
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610704005356
Subject(s) - nilpotent , commutative property , descent (aeronautics) , mathematics , pure mathematics , element (criminal law) , finite element method , locally nilpotent , algebra over a field , nilpotent group , physics , meteorology , political science , law , thermodynamics
It is established that in a commutative radical Fréchet algebra, elements of non‐nilpotent finite closed descent exist if a locally non‐nilpotent element of locally finite closed descent exists. Thus if C[[X]] can be embedded into the unitization of the algebra in such a way that X is mapped to an element which is locally non‐nilpotent, then it is possible to embed the ‘structurally rich’ algebra C ω1 .
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom