AbstractLet L be an RA loop, that is, a loop whose loop ring in any characteristic is an alternative, but not associative, ring. We find necessary and sufficient conditions for the (Moufang) unit loop of RL to be solvable when R is the ring of rational integers or an arbitrary field
Let $F[L]$ be a loop algebra of a loop $L$ over a field $F$. In this paper, we obtain the unit loop ...
AbstractG. Higman has proved a classical result giving necessary and sufficient conditions for the u...
AbstractFor a loop (group) G we denote by U(ZG) the loop (group) of units of the integral loop (grou...
AbstractLet L be an RA loop, that is, a loop whose loop ring in any characteristic is an alternative...
Let L be an RA loop, that is, a loop whose loop ring in any characteristic is an alternative, but no...
AbstractLet L be an RA loop, that is, a loop whose loop rings are alternative, but not associative, ...
In 1983, a few examples of Moufang loops whose loop rings are alternative, but not associative, were...
For the past ten years, alternative loop rings have intrigued mathematicians from a wide cross-secti...
summary:We investigate finite Moufang loops with a unique nonidentity commutator which are not assoc...
In the first part of this thesis, we study the relationships between three algebra structures: Cayle...
We investigate polynomial identities on an alternative loop algebra and group identities on its (Mou...
Let L be an RA loop, that is, a loop whose loop ring over any coefficient ring R is an alternative, ...
Abstract. Given a loop L and a commutative associative ring R with 1, one forms the loop ring RL jus...
summary:Possession of a unique nonidentity commutator/associator is a property which dominates the t...
AbstractIn an alternative ring, when is the product of torsion units a torsion unit? We answer this ...
Let $F[L]$ be a loop algebra of a loop $L$ over a field $F$. In this paper, we obtain the unit loop ...
AbstractG. Higman has proved a classical result giving necessary and sufficient conditions for the u...
AbstractFor a loop (group) G we denote by U(ZG) the loop (group) of units of the integral loop (grou...
AbstractLet L be an RA loop, that is, a loop whose loop ring in any characteristic is an alternative...
Let L be an RA loop, that is, a loop whose loop ring in any characteristic is an alternative, but no...
AbstractLet L be an RA loop, that is, a loop whose loop rings are alternative, but not associative, ...
In 1983, a few examples of Moufang loops whose loop rings are alternative, but not associative, were...
For the past ten years, alternative loop rings have intrigued mathematicians from a wide cross-secti...
summary:We investigate finite Moufang loops with a unique nonidentity commutator which are not assoc...
In the first part of this thesis, we study the relationships between three algebra structures: Cayle...
We investigate polynomial identities on an alternative loop algebra and group identities on its (Mou...
Let L be an RA loop, that is, a loop whose loop ring over any coefficient ring R is an alternative, ...
Abstract. Given a loop L and a commutative associative ring R with 1, one forms the loop ring RL jus...
summary:Possession of a unique nonidentity commutator/associator is a property which dominates the t...
AbstractIn an alternative ring, when is the product of torsion units a torsion unit? We answer this ...
Let $F[L]$ be a loop algebra of a loop $L$ over a field $F$. In this paper, we obtain the unit loop ...
AbstractG. Higman has proved a classical result giving necessary and sufficient conditions for the u...
AbstractFor a loop (group) G we denote by U(ZG) the loop (group) of units of the integral loop (grou...
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