8 M ay 2 00 1 ON DERIVATION DEVIATIONS IN AN ABSTRACT PRE - OPERAD
نویسنده
چکیده
We consider basic algebraic constructions associated with an abstract pre-operad C (Sec. 2), such as a ⌣-algebra (Sec. 3), total composition • (Sec. 4), pre-coboundary operator δ (Sec. 5) and tribraces {·, ·, ·} (Sec. 6). Main result of the present paper is the Main Theorem (Sec. 6). By defining (see degree notations in Sec. 2) a derivation deviation (Definition 6.2) of the pre-coboundary operator δ over the tribraces {·, ·, ·},
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