Premium
Generating Systems of Sets and Quotients of Surjeetive Operator Ideals
Author(s) -
Stephani Irmtraud
Publication year - 1980
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19800990103
Subject(s) - mathematics , surjective function , quotient , operator (biology) , characterization (materials science) , pure mathematics , inversion (geology) , algebra over a field , discrete mathematics , paleontology , biochemistry , chemistry , materials science , repressor , structural basin , biology , transcription factor , gene , nanotechnology
The paper gives a characterization of right‐hand quotients A = A 1 ˚ A −1 2 of surjective operator ideals A 1 and A 2 which refers to so called “generating systems of sets”. Simultaneously the corresponding “inversion formulas” A 1 = ( A ˚ A 2 ) S and A 2 = A −1 ˚ A 1 are investigated.