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