caa a22 4500 606161244 CHVBK 20210128100633.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s10468-014-9494-7 doi (NATIONALLICENCE)springer-10.1007/s10468-014-9494-7 On Filtered Multiplicative Bases of Some Associative Algebras [Elektronische Daten] [V. Bovdi, A. Grishkov, S. Siciliano] We deal with the existing problem of filtered multiplicative bases of finite-dimensional associative algebras. For an associative algebra A over a field, we investigate when the property of having a filtered multiplicative basis is hereditated by homomorphic images or by the associated graded algebra of A. These results are then applied to some classes of group algebras and restricted enveloping algebras. Springer Science+Business Media Dordrecht, 2014 Filtered multiplicative basis nationallicence Restricted enveloping algebra nationallicence Finite p -group nationallicence Bovdi V. IME, USP, Rua do Matao, 1010 - Citade Universitària, CEP 05508-090, Sao Paulo, Brazil aut Grishkov A. IME, USP, Rua do Matao, 1010 - Citade Universitària, CEP 05508-090, Sao Paulo, Brazil aut Siciliano S. Dipartimento di Matematica e Fisica "Ennio De Giorgi”, Università del Salento, Via Provinciale Lecce-Arnesano, 73100, LECCE, Italy aut Algebras and Representation Theory Springer Netherlands 18/2(2015-04-01), 297-306 1386-923X 18:2<297 2015 18 10468 https://doi.org/10.1007/s10468-014-9494-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10468-014-9494-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bovdi V. IME, USP, Rua do Matao, 1010 - Citade Universitària, CEP 05508-090, Sao Paulo, Brazil aut NATIONALLICENCE 700 1- Grishkov A. IME, USP, Rua do Matao, 1010 - Citade Universitària, CEP 05508-090, Sao Paulo, Brazil aut NATIONALLICENCE 700 1- Siciliano S. Dipartimento di Matematica e Fisica "Ennio De Giorgi”, Università del Salento, Via Provinciale Lecce-Arnesano, 73100, LECCE, Italy aut NATIONALLICENCE 773 0- Algebras and Representation Theory Springer Netherlands 18/2(2015-04-01), 297-306 1386-923X 18:2<297 2015 18 10468