Associative and idempotent algebras are at most ternary

J. Płonka

Displaying similar documents to “Associative and idempotent algebras are at most ternary”

On idempotent elements in certain associative algebras

A. R. Blass, L. Falcao, Č. V. Stanojević (1970)

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On the join of equational classes of idempotent algebras and algebras with constants

J. Płonka (1973)

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A representation theorem for idempotent medial algebras

Jerzy Płonka (1967)

Fundamenta Mathematicae

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Nearly-idempotent plain algebras are indeed nearly idempotent plain algebras

Ágnes Szendrei (1996)

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Algebras standardly stratified in all orders

Fidel Hernández Advíncula, Eduardo do Nascimento Marcos (2007)

Colloquium Mathematicae

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The aim of this work is to characterize the algebras which are standardly stratified with respect to any order of the simple modules. We show that such algebras are exactly the algebras with all idempotent ideals projective. We also deduce as a corollary a characterization of hereditary algebras, originally due to Dlab and Ringel.

Idempotents in complex group rings: Theorems of Zalesskij and Bass revisited.

Burger, Marc, Valette, Alain (1998)

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A general form of non-Frobenius self-injective algebras

Andrzej Skowroński, Kunio Yamagata (2006)

Colloquium Mathematicae

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Applying the classical work of Nakayama [Ann. of Math. 40 (1939)], we exhibit a general form of non-Frobenius self-injective finite-dimensional algebras over a field.