20.500.12556/RUL-110327 Identities of graded simple algebras We study identities of finite dimensional algebras over a field of characteristic zero, graded by an arbitrary groupoid ▫$\Gamma$▫. First, we prove that its graded colength has a polynomially bounded growth. For any graded simple algebra ▫$A$▫, we prove the existence of the graded PI-exponent, provided that ▫$\Gamma$▫ is a commutative semigroup. If ▫$A$▫ is simple in a non-graded sense, the existence of the graded PI-exponent is proved without any restrictions on ▫$\Gamma$▫. polynomial identities graded algebras codimensions exponential growth true false true Angleški jezik Ni določen Članek v reviji 2019-09-13 13:38:36 2019-09-13 13:38:37 2022-08-22 03:43:06 0000-00-00 00:00:00 2017 0 0 Str. 44-57 iss. 1 Vol. 65 2017 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 512.554 0308-1087 10.1080/03081087.2016.1167160 17652313 25872128 RAZ_Repovs_Dusan_i2017.pdf RAZ_Repovs_Dusan_i2017.pdf 1 5E96D60513F7F06B0DD2081BD4692092 8722bbb1f5b16b3f22e0d49076849431fdd7926605e53ab94240d81d1c6cd516 17fb6fc0-a1b7-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=121984 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0