63 citations · 94 across the 12 of their papers we have counts for
16 papers
The multivariate Serre conjecture ring
Luc Guyot, Ihsen Yengui
It is well-known that for any commutative unitary ring , the Serre conjecture ring , i.e., the localization of the univariate polynomial ri…
The stable rank of is
Luc Guyot
Grunewald, Mennicke and Vaserstein proved that the Bass stable rank of , the ring of the univariate polynomials over , is . This note addresses minor…
Equivalent generating vectors of finitely generated modules over commutative rings
Luc Guyot
Let be a commutative ring with identity and let be an -module which is generated by elements but not fewer. We denote by the group of the $n…
Equivalent generating pairs of an ideal of a commutative ring
Luc Guyot
Let be a commutative ring with identity and let be a two-generated ideal of . We denote by the group of matrices over with dete…
On Andrews-Curtis conjectures for soluble groups
Luc Guyot
The Andrews-Curtis conjecture claims that every normally generating -tuple of a free group of rank can be reduced to a basis by means of Nielsen transformations…
Finitely generated modules over quasi-Euclidean rings
Luc Guyot
Let R be a unital commutative ring and let be an -module that is generated by elements but not less. Let be the subgroup of generated by the elementar…