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An Almost Prime Element in a Commutative Radical Banach Algebra
Author(s) -
Pinto Dominic
Publication year - 2005
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609305004388
Subject(s) - mathematics , prime (order theory) , element (criminal law) , commutative property , banach algebra , algebra over a field , prime element , pure mathematics , combinatorics , banach space , law , political science
Thomas conjectured that there is no such thing as an almost prime element in a commutative radical Banach algebra. This paper shows that there is such an element. However, it still leaves open the question of whether there is an element that is almost prime, but not prime. 2000 Mathematics Subject Classification 46J40, 46J45.