In this paper we extend the theory of involutive divisions to the case of monomials with coefficients over effective rings. Moreover, as regards involutive bases, we study the computation of weak involutive bases and sketch a conjecture on strong involutive bases.
Toward involutive bases over effective rings / M. Ceria, T. Mora. - In: APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING. - ISSN 0938-1279. - (2020 Aug 14). [Epub ahead of print] [10.1007/s00200-020-00448-6]
Toward involutive bases over effective rings
M. Ceria;
2020
Abstract
In this paper we extend the theory of involutive divisions to the case of monomials with coefficients over effective rings. Moreover, as regards involutive bases, we study the computation of weak involutive bases and sketch a conjecture on strong involutive bases.
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