A NOTE ON SIMPLE GRAPHIC ALGEBRAS by JUHANT NIEMTNEN in Helsinki (Finland) 111 troduction Several authors have studied the structure of algebras with a ternary operation called median operation, scc e.g. [I], [2], [3], [4], and [7]. Most of the authors have concentrated on the lattice and tree struc
A Note On Semi-inner Product Algebras
β Scribed by B. D. Malviya
- Publisher
- John Wiley and Sons
- Year
- 1970
- Tongue
- English
- Weight
- 157 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0025-584X
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Necessary and sufficient conditions for all the derivations of a finite dimensional simple nonassociative algebra, over a field of characteristic zero, to be inner are given in terms of the Lie multiplication algebra and the trace of the derivations. 1994 Academic Press, Inc.
In this note we give a formula for the multiplicities of homogenous Gorenstein algebras. Herzog, Huneke, and Srinivasan have conjectured bounds for the multiplicities of homogeneous CohenαMacaulay algebras. Herzog and Srinivasan have proved this conjecture for C-M algebras with quasi-pure resolution
## Abstract We show that it is impossible to define a substitution operator for arbitrary representable cylindric algebras that agrees in its basic properties with the notion of substitutions introduced for dimension complemented algebras (Β© 2009 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)