Structure theorems for basic algebras
CF Berg - arXiv preprint arXiv:1102.1100, 2011 - arxiv.org
A basic finite dimensional algebra over an algebraically closed field $ k $ is isomorphic to a
quotient of a tensor algebra by an admissible ideal. The category of left modules over the …
quotient of a tensor algebra by an admissible ideal. The category of left modules over the …
[引用][C] The representation types of some tensor algebras
YZ Liu, Y Zhang, M Liu - Journal of Algebra and Its Applications, 2024 - World Scientific
Let 𝕜 be an algebraically closed field and let Λ be a finite-dimensional basic connected
algebra over 𝕜. Let X be a Nakayama hereditary algebra whose quiver is 1→ 2→ 3. We …
algebra over 𝕜. Let X be a Nakayama hereditary algebra whose quiver is 1→ 2→ 3. We …
[PDF][PDF] On ideals of tensor products
E Jespers, E Puczyłowski - Journal of Algebra, 1991 - academia.edu
In the first part of this paper we study prime ideals of the tensor product of the central
closures of prime algebras. It is shown that some of the prime ideals are centrally generated …
closures of prime algebras. It is shown that some of the prime ideals are centrally generated …
Tensor product of algebras over a field
This review paper deals with tensor products of algebras over a field. Let k be a field and A,
B be commutative k-algebras. We consider the following question:“Which properties of A …
B be commutative k-algebras. We consider the following question:“Which properties of A …
[PDF][PDF] Differential tensor algebras and endolength vectors
ÁFC Cabrera, JPDV Moo, JEP Terrazas - Colloquium Mathematicum, 2014 - academia.edu
We introduce the notions of central endolength and central endolength vector, and we study
their behavior under base field extension for finite-dimensional algebras over perfect fields …
their behavior under base field extension for finite-dimensional algebras over perfect fields …
[PDF][PDF] Tensorial extensions of central simple algebras
I Stewart - Journal of Algebra, 1973 - core.ac.uk
Throughout this paper the unqualified term algebra will mean a not necessarily associative
algebra over a field I. Given two algebras A and B there is a natural algebra structure on A …
algebra over a field I. Given two algebras A and B there is a natural algebra structure on A …
[HTML][HTML] The derived-discrete algebras and standard equivalences
XW Chen, C Zhang - Journal of Algebra, 2019 - Elsevier
The derived-discrete algebras and standard equivalences - ScienceDirect Skip to main
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Tensor products of ideal systems and their modules
KE Aubert, I Fleischer - Pacific Journal of Mathematics, 1978 - msp.org
Tensor products of ideal systems and their modules Page 1 Pacific Journal of Mathematics
TENSOR PRODUCTS OF IDEAL SYSTEMS AND THEIR MODULES KARL EGIL AUBERT AND …
TENSOR PRODUCTS OF IDEAL SYSTEMS AND THEIR MODULES KARL EGIL AUBERT AND …
[PDF][PDF] Tame tensor products of algebras
Z Leszczynski, A Skowronski - Colloq. Math, 2003 - researchgate.net
With the help of Galois coverings, we describe the tame tensor products A⊗ KB of basic,
connected, nonsimple, finite-dimensional algebras A and B over an algebraically closed …
connected, nonsimple, finite-dimensional algebras A and B over an algebraically closed …
[HTML][HTML] Chains of prime ideals in tensor products of algebras
S Bouchiba - Journal of Pure and Applied Algebra, 2007 - Elsevier
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