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- W4289820851 abstract "In this paper we present a procedure for computing the rational sum of the Hilbert series of a finitely generated monomial right module $N$ over the free associative algebra $Klangle x_1,ldots,x_n rangle$. We show that such procedure terminates, that is, the rational sum exists, when all the cyclic submodules decomposing $N$ are annihilated by monomial right ideals whose monomials define regular formal languages. The method is based on the iterative application of the colon right ideal operation to monomial ideals which are given by an eventual infinite basis. By using automata theory, we prove that the number of these iterations is a minimal one. In fact, we have experimented efficient computations with an implementation of the procedure in Maple which is the first general one for noncommutative Hilbert series." @default.
- W4289820851 created "2022-08-05" @default.
- W4289820851 creator A5049840696 @default.
- W4289820851 date "2015-03-12" @default.
- W4289820851 modified "2023-09-24" @default.
- W4289820851 title "Monomial right ideals and the Hilbert series of noncommutative modules" @default.
- W4289820851 doi "https://doi.org/10.48550/arxiv.1503.03685" @default.
- W4289820851 hasPublicationYear "2015" @default.
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