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Construction of the syzygy module in automaton monomial algebras

✍ Scribed by S. A. Ilyasov


Publisher
Springer US
Year
2007
Tongue
English
Weight
159 KB
Volume
142
Category
Article
ISSN
1573-8795

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πŸ“œ SIMILAR VOLUMES


The Alternating Syzygy Behavior of Monom
✍ Michael J. Bardzell πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 227 KB

In this paper we present a minimal projective resolution of a monomial algebra ⌳ over its enveloping algebra. The syzygies for this resolution exhibit an alternating behavior which is explained by the construction of a special sequence of paths from the quiver of ⌳.

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A configuration is said to be with finite support if the states of all but finitely many cells in the array are quiescent. The results are as follows. It is recursively unsolvable when d > 2, for a configuration c with finite support in a d-dimensional cellular automaton, whether or not: 1. c is in