On a Filtered Multiplicative Basis of Group Algebras

Further results on a filtered multiplicative basis of group algebras ∗

Let FG be a group algebra of a finite non-abelian pgroup G and F a field of characteristic p. In this paper we give all minimal non-abelian p-groups and minimal non-metacyclic p-groups whose group algebras FG possess a filtered multiplicative F -basis.

On Existing of Filtered Multiplicative Bases in Group Algebras

We give an explicit list of all p-groups G of order at most p4 or 25 such that the group algebra KG over the field K of characteristic p has a filtered multiplicative K-basis.

On Filtered Multiplicative Bases of Group Algebras Ii

We give an explicit list of all p-groups G with a cyclic subgroup of index p2, such that the group algebra KG over the field K of characteristic p has a filtered multiplicative K-basis. We also proved that such a K-basis does not exist for the group algebra KG, in the case when G is either a powerful p-group or a two generated p-group ( p 6= 2 ) with a central cyclic commutator subgroup. This p...

Multiplicative bijective maps on standard operator algebras

Almost n-Multiplicative Maps‎ between‎ ‎Frechet Algebras

For the Fr'{e}chet algebras $(A, (p_k))$ and $(B, (q_k))$ and $n in mathbb{N}$, $ngeq 2$, a linear map $T:A rightarrow B$ is called textit{almost $n$-multiplicative}, with respect to $(p_k)$ and $(q_k)$, if there exists $varepsilongeq 0$ such that$$q_k(Ta_1a_2cdots a_n-Ta_1Ta_2cdots Ta_n)leq varepsilon p_k(a_1) p_k(a_2)cdots p_k(a_n),$$for each $kin mathbb{N}$ and $a_1, a_2, ldots, a_nin A$. Th...