Finite-dimensional algebras with infinite bases of identities
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Publication:1259654
DOI10.1007/BF00967365zbMath0411.16011MaRDI QIDQ1259654
Publication date: 1978
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
finite-dimensional algebrasnilpotent algebrasfinite bases of identitiesideal of identitiesinfinite bases of identities
Finite rings and finite-dimensional associative algebras (16P10) Prime and semiprime associative rings (16N60) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Rings with polynomial identity (16Rxx)
Related Items (8)
Simple finite-dimensional algebras without finite basis of identities ⋮ On simple finite-dimensional algebras with infinite basis of identities ⋮ Minimal nonzero \(L\)-varieties of vector spaces over the field \(\mathbb{Z}_2\) ⋮ An example of a central simple commutative finite-dimensional algebra with an infinite basis of identities ⋮ Finite groupoids without finite bases for their identities ⋮ Nonassociative rings ⋮ Weak polynomial identities and their applications ⋮ Example of Simple Finite Dimensional Algebra with No Finite Basis of Its Identities
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