Some homological aspects of idempotents in idempotented algebras

Arnab Mitra; Rishi Vyas

doi:10.1080/00927872.2020.1726938

Some homological aspects of idempotents in idempotented algebras

Arnab Mitra, Rishi Vyas

Research output: Contribution to journal › Article › peer-review

Abstract

We study special idempotents (as described by Bushnell and Kutzko) and split idempotents in the context of module and derived categories for idempotented algebras. We then characterize these concepts for path algebras of quivers.

Original language	English
Pages (from-to)	2986-3002
Number of pages	17
Journal	Communications in Algebra
Volume	48
Issue number	7
DOIs	https://doi.org/10.1080/00927872.2020.1726938
State	Published - 2 Jul 2020
Externally published	Yes

Keywords

Idempotented algebras
path algebras
special idempotents

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927872.2020.1726938

Cite this

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title = "Some homological aspects of idempotents in idempotented algebras",

abstract = "We study special idempotents (as described by Bushnell and Kutzko) and split idempotents in the context of module and derived categories for idempotented algebras. We then characterize these concepts for path algebras of quivers.",

keywords = "Idempotented algebras, path algebras, special idempotents",

author = "Arnab Mitra and Rishi Vyas",

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AB - We study special idempotents (as described by Bushnell and Kutzko) and split idempotents in the context of module and derived categories for idempotented algebras. We then characterize these concepts for path algebras of quivers.

KW - Idempotented algebras

KW - path algebras

KW - special idempotents

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DO - 10.1080/00927872.2020.1726938

M3 - Article

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JO - Communications in Algebra

JF - Communications in Algebra

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ER -

Some homological aspects of idempotents in idempotented algebras

Abstract

Keywords

ASJC Scopus subject areas

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