The Semigroup of Ideals of a Fir is (Usually) Free

DOI10.1112/jlms/s2-11.1.21zbMath0275.16003OpenAlexW1984084436MaRDI QIDQ5183650

Jacques Lewin, George M. Bergman

Publication date: 1974

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-11.1.21

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Free semigroups, generators and relations, word problems (20M05) Varieties (08B99) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (9)

Test sets for finite substitutions ⋮ The prime spectrum of algebras of quadratic growth. ⋮ On products of T-ideals in free algebras and free group algebras. ⋮ On the Semigroups of Fully Invariant Ideals of the Free Group Algebra and the Free Associative Algebra ⋮ Associative rings ⋮ Codimension growth and minimal superalgebras ⋮ Well quasi-ordered sets and ideals in free semigroups and algebras ⋮ Minimal varieties of associative algebras and transcendental series ⋮ The normal closure of coproducts of domains

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