Add to ORKGWe investigate polynomial identities on an alternative loop algebra and group identities on its (Moufang) unit loop. An alternative loop ring always satisfies a polynomial identity, whereas whether or not a unit loop satisfies a group identity depends on factors such as characteristic and centrality of certain kinds of idempotents
Abstract. It is explicitly shown how the Lie algebras can be associated with the analytic Moufang lo...
In this paper, we study the algebraic loop structures on the set of Lie algebra comultiplications. M...
Abstract. A loop identity is of Bol-Moufang type if two of its three variables occur once on each si...
We investigate polynomial identities on an alternative loop algebra and group identities on its (Mou...
For the past ten years, alternative loop rings have intrigued mathematicians from a wide cross-secti...
In 1983, a few examples of Moufang loops whose loop rings are alternative, but not associative, were...
summary:Groups are usually axiomatized as algebras with an associative binary operation, a two-sided...
In this survey we gather some results concerning polynomial identities (resp. group identities) in ...
In an earlier paper we obtained necessary and sufficient conditions for the group ring K [G] to sati...
Abstract. Given a loop L and a commutative associative ring R with 1, one forms the loop ring RL jus...
AbstractIn this paper we study the polynomial identities of the loop algebra of some RA2 loops of or...
summary:In a recent paper, those quasigroup identities involving at most three variables and of “len...
AbstractLet L be an RA loop, that is, a loop whose loop ring in any characteristic is an alternative...
summary:We investigate loops which can be written as the semidirect product of a loop and a group, a...
summary:It is explicitly shown how the Lie algebras can be associated with the analytic Moufang loop...
Abstract. It is explicitly shown how the Lie algebras can be associated with the analytic Moufang lo...
In this paper, we study the algebraic loop structures on the set of Lie algebra comultiplications. M...
Abstract. A loop identity is of Bol-Moufang type if two of its three variables occur once on each si...
We investigate polynomial identities on an alternative loop algebra and group identities on its (Mou...
For the past ten years, alternative loop rings have intrigued mathematicians from a wide cross-secti...
In 1983, a few examples of Moufang loops whose loop rings are alternative, but not associative, were...
summary:Groups are usually axiomatized as algebras with an associative binary operation, a two-sided...
In this survey we gather some results concerning polynomial identities (resp. group identities) in ...
In an earlier paper we obtained necessary and sufficient conditions for the group ring K [G] to sati...
Abstract. Given a loop L and a commutative associative ring R with 1, one forms the loop ring RL jus...
AbstractIn this paper we study the polynomial identities of the loop algebra of some RA2 loops of or...
summary:In a recent paper, those quasigroup identities involving at most three variables and of “len...
AbstractLet L be an RA loop, that is, a loop whose loop ring in any characteristic is an alternative...
summary:We investigate loops which can be written as the semidirect product of a loop and a group, a...
summary:It is explicitly shown how the Lie algebras can be associated with the analytic Moufang loop...
Abstract. It is explicitly shown how the Lie algebras can be associated with the analytic Moufang lo...
In this paper, we study the algebraic loop structures on the set of Lie algebra comultiplications. M...
Abstract. A loop identity is of Bol-Moufang type if two of its three variables occur once on each si...