Division Algorithm in Rings is a formal algebraic framework that generalizes the classical division algorithm to integral domains by specifying conditions under which, for any two elements \(a\) and \(b \neq 0\), there exist a quotient \(q\) and a remainder \(r\) such that \(a = bq + r\) with the remainder satisfying a norm-decreasing condition relative to the divisor.
15
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388
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26
Authors
12
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2017–2026
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Variants
Euclidean Division In Rings
Parents
Publications
15
Nathan Jacobson · American Journal of Mathematics · 1947 · 39 citations
Valuation Methods in Division Rings
A. I. Lichtman · Journal of Algebra · 1995 · 30 citations
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Authors
26
- LE
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- MV
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- RY
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Institutions
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Motilal Nehru National Institute of Technology
Prayagraj, India
1 h-index
5 publications
70 citations
Joint Institute for Nuclear Research
Dubna, Russia
1 h-index
2 publications
34 citations
State Key Laboratory of Cryptology
Beijing, China
1 h-index
1 publications
13 citations
Centre National de la Recherche Scientifique
Paris, France
1 h-index
1 publications
11 citations
National University of Defense Technology
Changsha, China
1 h-index
4 publications
52 citations
University of Wisconsin–Parkside
Kenosha, United States
1 h-index
1 publications
30 citations
Kuwait University
Kuwait City, Kuwait
1 h-index
1 publications
12 citations
Laboratoire de Mathématiques Blaise Pascal
Aubière, France
1 h-index
1 publications
11 citations
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Venues
- Transactions of the American Mathematical Society
TRAN · 2 publications · 89 citations
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- Communications in Algebra
2 publications · 83 citations
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- Mathematical Proceedings of the Cambridge Philosophical Society
1 publications · 27 citations
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- American Mathematical Monthly
1 publications · 10 citations
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- Wireless Personal Communications
1 publications · 14 citations
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