منابع مشابه
Some Properties of a Subring of the Power Series Ring on a Countably Innnite Number of Variables over a Eld
We prove some simple properties of the power series ring R = Kx 1 ; x 2 ; x 3 ; : : : ]] on a countably innnite number of variables over a eld K, and of the subring R 0 generated by all homogeneous elements in R. By means of a certain decreasing ltration of ideals, which are kernels of the \truncation homomorphisms" n : R 0 ! Kx 1 ; : : : ; x n ], we endow R 0 with a topology, and show that wit...
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If K is a eld, let the ring R 0 consist of nite sums of homogeneous elements in R = Kx 1 ; x 2 ; x 3 ; : : : ]]. Then, R 0 contains M, the free semi-group on the countable set of variables fx 1 ; x 2 ; x 3 ; : : :g. In this paper, we generalize the notion of admissible order from nitely generated sub-monoids of M to M itself; assume that > is such an admissible order on M. We show that we can d...
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If K is a field, let the ring R′ consist of finite sums of homogeneous elements in R = K[[x1, x2, x3, . . .]]. Then, R′ contains M, the free semi-group on the countable set of variables {x1, x2, x3, . . .}. In this paper, we generalize the notion of admissible order from finitely generated sub-monoids of M to M itself; assume that > is such an admissible order on M. We show that we can define l...
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ژورنال
عنوان ژورنال: Journal of Computational Mathematica
سال: 2020
ISSN: 2456-8686
DOI: 10.26524/cm74