Equations in Algebras

Olga Kharlampovich, Alexei Myasnikov

Type: Article

Publication Date: 2018-08-20

Citations: 10

DOI: https://doi.org/10.1142/s0218196718400064

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Locations

International Journal of Algebra and Computation - View

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+ PDF Chat	What does a group algebra of a free group “know” about the group?	2018	Olga Kharlampovich Alexei Myasnikov
+	The Diophantine problem in the classical matrix groups	2020	Alexei Myasnikov Mahmood Sohrabi
+ PDF Chat	The Diophantine problem in Chevalley groups	2024	E. I. Bunina Alexei Myasnikov Eugene Plotkin
+	The Diophantine problem in finitely generated commutative rings	2020	Albert Garreta Alexei Miasnikov Denis Ovchinnikov
+	Undecidability of the first order theories of free non-commutative Lie algebras	2017	Olga Kharlampovich Alexei Myasnikov
+	Diophantine problems in solvable groups	2018	Albert Garreta Alexei Miasnikov Denis Ovchinnikov
+	Diophantine problems in solvable groups	2020	Albert Garreta Alexei Miasnikov Denis Ovchinnikov
+	First-order theory of group algebras	2016	Olga Kharlampovich Alexei Miasnikov
+	Differential Calculuses on Group Algebras	2023	Andronick Arutyunov
+	The Diophantine problem in the classical matrix groups	2021	Aleksei Georgievich Myasnikov Mahmood Sohrabi

Works Cited by This (15)

Action	Title	Year	Authors
+	Undecidability of existential theories of rings and fields: a survey	2000	Thanases Pheidas Karim Zahidi
+ PDF Chat	The Topology of Rational Points	1992	Barry Mazur
+	The Diophantine Problem for Polynomial Rings of Positive Characteristic	1979	Jan Denef
+ PDF Chat	A Diophantine problem for Laurent polynomial rings	1985	Peter Pappas
+	SOLVABILITY OF EQUATIONS IN GRAPH GROUPS IS DECIDABLE	2006	Volker Diekert Anca Muscholl
+	Canonical representatives and equations in hyperbolic groups	1995	Eliyahu Rips Zlil Sela
+	Automorphisms of graph groups	1989	Herman Servatius
+ PDF Chat	The Diophantine problem for polynomial rings and fields of rational functions	1978	J. Denef
+	The Elementary Theory of Finite Fields	1968	James Ax
+	Some General Algorithms. I: Arithmetic Groups	1980	Fritz Grunewald Dan Segal