منابع مشابه
Canonical Models of Filtered A∞-algebras and Morse Complexes
In the book [6], the authors studied the moduli spaces of bordered stable maps of genus 0 with Lagrangian boundary condition in a systematic way and constructed the filtered A∞-algebra associated to Lagrangian submanifolds. Since our construction depends on various auxiliary choices, we considered the canonical model of filtered A∞-algebras, which is unique up to filtered A∞-isomorphisms. The a...
متن کاملOn 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.
متن کاملOn a Filtered Multiplicative Basis of Group Algebras
Abstract. Let K be a field of characteristic p and G a nonabelian metacyclic finite p-group. We give an explicit list of all metacyclic p-groups G, such that the group algebra KG over a field of characteristic p has a filtered multiplicative K-basis. We also present an example of a non-metacyclic 2-group G, such that the group algebra KG over any field of characteristic 2 has a filtered multipl...
متن کاملPoincare! Series of Multi-filtered Algebras and Partitivity
It is proved that if an algebra R over a field can be endowed with a pointed and finite-dimensional .nfiltration such that the associated .n-graded algebra T is semi-commutative, then R is left and right finitely partitive. In order to do this, a multi-variable Poincare! series for every finitely generated graded T-module is considered and it is shown that this Poincare! series is a rational fu...
متن کاملFurther 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.
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ژورنال
عنوان ژورنال: Transactions of A. Razmadze Mathematical Institute
سال: 2016
ISSN: 2346-8092
DOI: 10.1016/j.trmi.2016.03.001