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Decompositions of Linear Transformations over Division Rings

✍ Scribed by Chen, Huanyin


Book ID
115535224
Publisher
World Scientific Publishing Company
Year
2012
Tongue
English
Weight
184 KB
Volume
19
Category
Article
ISSN
1005-3867

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In this paper we show that every linear sequential circuit (LSC) dejined over a residue class ring Z,, where m = po;' pp . . . p;k (the pi being distinct primes), is isomorphic to a parallel connection of k LSC's over Z,lri (i = 1, 2, . . . . k); each LSC over Z,,rg is, in turn, isomorphic to a casc