20.500.12556/RUL-112542 Èksponencialʹnyj rost korazmernostej toždestv algebr s edinicej Exponential growth of codimensions of identities of algebras with unity The asymptotic behaviour is studied of exponentially bounded sequences of codimensions of identities of algebras with unity. A series of algebras is constructed for which the base of the exponential increases by exactly 1 when an outer unity is adjoined to the original algebra. It is shown that the PI-exponents of unital algebras can take any value greater than 2, and the exponents of finite-dimensional unital algebras form a dense subset in the domain ▫$ \lbrack 2,\infty)$▫. matematika identitete kodimenzija eksponentna rast mathematics identities codimension exponential growth true false true Ruski jezik Angleški jezik Članek v reviji 2019-10-23 11:25:16 2019-10-23 11:25:18 2022-08-24 03:51:34 0000-00-00 00:00:00 2015 0 0 Angleški prevod v:ZAICEV, Mikhail, REPOVŠ, Dušan. Exponential growth of codimensions of identities of algebras with unity. Sbornik, Mathematics, ISSN 1064-5616. [Print ed.], 2015, vol. 206, no. 10, str. 1440-1462. http://dx.doi.org/10.1070/SM2015v206n10ABEH004501. [COBISS.SI-ID 17554777], Str. 103-126 no. 10 T. 206 2015 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 512.57 0368-8666 http://dx.doi.org/10.4213/sm8454 17462873 5292295 RAZ_Zaicev_Mikhail_2015.pdf RAZ_Zaicev_Mikhail_2015.pdf 1 24AE79A02046693FDE7E19AB8EBB9D07 aaab062044392cb5349355eea2379db8d2f222958e03a650aca65548f8ed90c7 ec98f0dc-a1b7-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=124548 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0