来自Nugis Groebnerialium 6：伦普，乌夫纳罗夫斯基，扎卡里亚斯

IF 0.6 4区工程技术 Q4 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Applicable Algebra in Engineering Communication and Computing Pub Date : 2022-11-07 DOI:10.1007/s00200-022-00583-2

Michela Ceria, Ferdinando Mora

引用次数: 1

摘要

受到沃尔夫冈·朗普提出的一个问题的影响，我们研究了朗普理想\({\mathbb {I}}(p^2-pq+qp)\subset {\mathbb {Z}}\langle q,q^{-1}, p\rangle \)，并通过这种方式展示了撒迦利亚代表的力量。

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De Nugis Groebnerialium 6: Rump, Ufnarovski, Zacharias

Moved by a question posed us by Wolfgang Rump, we investigate the Rump ideal \({\mathbb {I}}(p^2-pq+qp)\subset {\mathbb {Z}}\langle q,q^{-1}, p\rangle \) and we show, this way, the power of Zacharias representation.

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来源期刊

Applicable Algebra in Engineering Communication and Computing 工程技术-计算机：跨学科应用

CiteScore

2.90

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Algebra is a common language for many scientific domains. In developing this language mathematicians prove theorems and design methods which demonstrate the applicability of algebra. Using this language scientists in many fields find algebra indispensable to create methods, techniques and tools to solve their specific problems. Applicable Algebra in Engineering, Communication and Computing will publish mathematically rigorous, original research papers reporting on algebraic methods and techniques relevant to all domains concerned with computers, intelligent systems and communications. Its scope includes, but is not limited to, vision, robotics, system design, fault tolerance and dependability of systems, VLSI technology, signal processing, signal theory, coding, error control techniques, cryptography, protocol specification, networks, software engineering, arithmetics, algorithms, complexity, computer algebra, programming languages, logic and functional programming, algebraic specification, term rewriting systems, theorem proving, graphics, modeling, knowledge engineering, expert systems, and artificial intelligence methodology. Purely theoretical papers will not primarily be sought, but papers dealing with problems in such domains as commutative or non-commutative algebra, group theory, field theory, or real algebraic geometry, which are of interest for applications in the above mentioned fields are relevant for this journal. On the practical side, technology and know-how transfer papers from engineering which either stimulate or illustrate research in applicable algebra are within the scope of the journal.