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- Michael Pesch
- 1996

We show, how Gröbner bases can be computed for two-sided ideals of iterated Ore extensions with commuting variables. Given a ring R consider an iterated Ore extension with commuting variables. Identifying the iterated Ore extension of R and the polynomial ring over R (in the same number of variables) as free left R-Modules all two-sided ideals of the… (More)

one is O(m4). Except above operations, an additional but important process which decides whether a value is zero or not is necessary in Greville's and Glassey's methods • In the Greville's method, it shows the process to obtain bi and A1 + • All methods are implemented in the computer algebra systems REDUCE and Risa/Asir. Here we use ordinary rational… (More)

- Michael Pesch
- 1996

We show, that Gröbner bases can be computed for left and right ideals of certain Ore extensions of polynomial rings. N rf0g and αjK = id. This rings are in general neither right nor left Noetherian. Nevertheless finite left and right Gröbner bases for finitely generated left and right ideals do exist for special term orders. Using this Gröbner bases the… (More)

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