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Additive closedness in subsets of $\mathbb{Z}_n$ | ||
| Communications in Combinatorics and Optimization | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 30 مرداد 1403 اصل مقاله (415.77 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2024.29160.1875 | ||
| نویسندگان | ||
| Nithish Kumar R1؛ Vadiraja Bhatta G R* 2؛ Prasanna Poojary3 | ||
| 1Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, India | ||
| 2Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, India | ||
| 3Department of Mathematics, Manipal Institute of Technology Bengaluru, Manipal Academy of Higher Education, Manipal, 576104, India | ||
| چکیده | ||
| The r-value in subsets of finite abelian groups serves as a metric for evaluating the degree of closedness within these subsets. The notion of the r-value is intricately linked to other mathematical constructs such as sum-free sets, Sidon sets, and Schur triples. We extend the definition of r-value of a subset in a finite abelian group and investigate the r-values of subsets of Z_n, by constructing a formula for r-values of intervals consist of consecutive residue classes modulo n. | ||
| کلیدواژه‌ها | ||
| r-values؛ Sum-free sets؛ Integers modulo n | ||
| مراجع | ||
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