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IJAC
2007
62views more  IJAC 2007»
13 years 5 months ago
Fixed Vectors for Elements in Modules for Algebraic Groups
Irina D. Suprunenko, Alexandre E. Zalesski
IJAC
2007
64views more  IJAC 2007»
13 years 5 months ago
Star-Free Geodesic Languages for Groups
In this article we show that every group with a finite presentation satisfying one or both of the small cancellation conditions C (1/6) and C (1/4) − T (4) has the property that...
Susan M. Hermiller, Derek F. Holt, Sarah Rees
IJAC
2007
99views more  IJAC 2007»
13 years 5 months ago
Normalized Expressions and Finite Automata
There exist two well-known quotients of the position automaton of a regular expression. The first one, called the equation automaton, has first been introduced by Mirkin from th...
Jean-Marc Champarnaud, Faissal Ouardi, Djelloul Zi...
IJAC
2007
70views more  IJAC 2007»
13 years 5 months ago
The Free Alternative Superalgebra on One odd Generator
A base of the free alternative superalgebra on one odd generator is constructed. As a corollary, a base of the alternative Grassmann algebra is given. We also find a new element ...
Ivan Shestakov, Natalia Zhukavets
IJAC
2007
59views more  IJAC 2007»
13 years 5 months ago
Polynomial-Time Complexity for Instances of the Endomorphism Problem in Free Groups
Abstract. We say the endomorphism problem is solvable for an element W in a free group F if it can be decided effectively whether, given U in F , there is an endomorphism φ of F ...
Laura Ciobanu
IJAC
2007
73views more  IJAC 2007»
13 years 5 months ago
Computationally and Algebraically Complex Finite Algebra Membership Problems
In this paper we produce a finite algebra which generates a variety with a PSPACE-complete membership problem. We produce another finite algebra with a γ function that grows exp...
Marcin Kozik
IJAC
2007
59views more  IJAC 2007»
13 years 5 months ago
Automorphic Equivalence Problem for Free Associative Algebras of Rank Two
Let K x, y be the free associative algebra of rank 2 over an algebraically closed constructive field of any characteristic. We present an algorithm which decides whether or not tw...
Vesselin Drensky, Jie-Tai Yu