Let $F[L]$ be a loop algebra of a loop $L$ over a field $F$. In this paper, we obtain the unit loop of the loop algebra $F[L],$ where $L$ is the smallest Moufang loop $M(S_3,2)$ and $F$ is a finite field of characteristic different from $3$.
We determine the structure of the semisimple group algebra of certain groups over the rationals and ...
In 1983, a few examples of Moufang loops whose loop rings are alternative, but not associative, were...
AbstractWe show how to obtain all nonassociative Moufang loops of order less than 64 and 4262 nonass...
Let $F[L]$ be a loop algebra of a loop $L$ over a field $F$. In this paper, we obtain the unit loop ...
A Moufang loop is a binary system that satisfies a particular weak form of the associative law. Doro...
Let L be an RA loop, that is, a loop whose loop ring in any characteristic is an alternative, but no...
AbstractWe present an elementary proof that the nonassociative simple Moufang loops over finite prim...
We determine the structure of the semisimple group algebra of certain groups over the rationals and ...
We determine the structure of the semisimple group algebra of certain groups over the rationals and ...
We study the simple Moufang loop GLL(F(2)) and give a complete description of its lattice of subloop...
We study the simple Moufang loop GLL(F(2)) and give a complete description of its lattice of subloop...
summary:In ``A class of simple Moufang loops'', Proc. Amer. Math. Soc. {\bf 7} (1956), 471--482, Pai...
AbstractLet I be the exceptional 27-dimensional Jordan algebra over C. Its automorphism group is the...
Abstract. A loop identity is of Bol-Moufang type if two of its three variables occur once on each si...
AbstractWe classify Moufang loops of order 64 and 81 up to isomorphism, using a linear algebraic app...
We determine the structure of the semisimple group algebra of certain groups over the rationals and ...
In 1983, a few examples of Moufang loops whose loop rings are alternative, but not associative, were...
AbstractWe show how to obtain all nonassociative Moufang loops of order less than 64 and 4262 nonass...
Let $F[L]$ be a loop algebra of a loop $L$ over a field $F$. In this paper, we obtain the unit loop ...
A Moufang loop is a binary system that satisfies a particular weak form of the associative law. Doro...
Let L be an RA loop, that is, a loop whose loop ring in any characteristic is an alternative, but no...
AbstractWe present an elementary proof that the nonassociative simple Moufang loops over finite prim...
We determine the structure of the semisimple group algebra of certain groups over the rationals and ...
We determine the structure of the semisimple group algebra of certain groups over the rationals and ...
We study the simple Moufang loop GLL(F(2)) and give a complete description of its lattice of subloop...
We study the simple Moufang loop GLL(F(2)) and give a complete description of its lattice of subloop...
summary:In ``A class of simple Moufang loops'', Proc. Amer. Math. Soc. {\bf 7} (1956), 471--482, Pai...
AbstractLet I be the exceptional 27-dimensional Jordan algebra over C. Its automorphism group is the...
Abstract. A loop identity is of Bol-Moufang type if two of its three variables occur once on each si...
AbstractWe classify Moufang loops of order 64 and 81 up to isomorphism, using a linear algebraic app...
We determine the structure of the semisimple group algebra of certain groups over the rationals and ...
In 1983, a few examples of Moufang loops whose loop rings are alternative, but not associative, were...
AbstractWe show how to obtain all nonassociative Moufang loops of order less than 64 and 4262 nonass...