Semisimple Modules and Semisimple Algebras

2018 ◽  
pp. 85-102
Author(s):  
Karin Erdmann ◽  
Thorsten Holm
Keyword(s):  
Semisimple Modules ◽  
Semisimple Algebras

Structure of virtually semisimple modules over commutative rings

2020 ◽  
Vol 48 (7) ◽  
pp. 2872-2882
Author(s):  
M. Behboodi ◽  
A. Daneshvar ◽  
M. R. Vedadi
Keyword(s):  
Commutative Rings ◽  
Semisimple Modules

Generalized Co-Semisimple Modules

1990 ◽  
Vol 18 (12) ◽  
pp. 4235-4253
Author(s):  
Robert Wisbauer
Keyword(s):  
Semisimple Modules

scholarly journals Centralizers in semisimple algebras, and descent spectrum in Banach algebras

2011 ◽  
Vol 347 (1) ◽  
pp. 214-223 ◽  
Author(s):  
A. Haïly ◽  
A. Kaidi ◽  
A. Rodríguez Palacios
Keyword(s):  
Banach Algebras ◽  
Semisimple Algebras

scholarly journals Gradings on semisimple algebras

2018 ◽  
Vol 559 ◽  
pp. 145-171 ◽  
Author(s):  
Alejandra S. Córdova-Martínez ◽  
Alberto Elduque
Keyword(s):  
Semisimple Algebras

scholarly journals Maximal subalgebras of finite-dimensional algebras

2019 ◽  
Vol 31 (5) ◽  
pp. 1283-1304 ◽  
Author(s):  
Miodrag Cristian Iovanov ◽  
Alexander Harris Sistko
Keyword(s):  
Associative Algebra ◽  
Complete Classification ◽  
Maximal Subalgebras ◽  
Incidence Algebras ◽  
Finite Dimensional ◽  
Semisimple Algebras ◽  
Closed Fields ◽  
Representations Of Algebras ◽  
Algebraically Closed Fields ◽  
Full Classification

AbstractWe study maximal associative subalgebras of an arbitrary finite-dimensional associative algebra B over a field {\mathbb{K}} and obtain full classification/description results of such algebras. This is done by first obtaining a complete classification in the semisimple case and then lifting to non-semisimple algebras. The results are sharpest in the case of algebraically closed fields and take special forms for algebras presented by quivers with relations. We also relate representation theoretic properties of the algebra and its maximal and other subalgebras and provide a series of embeddings between quivers, incidence algebras and other structures which relate indecomposable representations of algebras and some subalgebras via induction/restriction functors. Some results in literature are also re-derived as a particular case, and other applications are given.

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