{'fraction_non_alphanumeric': 0.030470914127423823, 'fraction_numerical': 0.002770083102493075, 'mean_word_length': 4.323529411764706, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
The Membership Problem for Ideals of Binomial Skew Polynomial Rings

Abstract In this paper, we study binomial skew polynomial rings A. We produce a Groebner basis of each two-sided ideal in A (as left ideal). Thus we give a positive answer to the question 2 in a : ‘Is it true that A has a decidable membership problem for finitely generated two-sided ideals?’