FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2007, VOLUME 13, NUMBER 8, PAGES 105-125

$D$_¥-differential $E$_¥-algebras and spectral sequences of $D$_¥-differential modules

S. V. Lapin

Abstract

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In the present paper, we introduce the concept of a filtered $E$_¥-algebra, construct spectral sequences for such algebras, and apply them to multiplicative cohomological spectral sequences of bundles. The existence of the structure of $D$_¥-differential $A$_¥-algebra in cohomological spectral sequences of bundles over fields is proved and the initial multiplicative component of this structure at the second term of the spectral sequence is calculated.

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Last modified: June 13, 2008