RELATION MODULES AND RELATION BIMODULES OF GROUPS, SEMIGROUPS AND ASSOCIATIVE ALGEBRAS

DOI10.1142/S0218196791000055zbMath0727.20023OpenAlexW2015953802MaRDI QIDQ3349084

Sergei V. Ivanov

Publication date: 1991

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196791000055

zbMATH Keywords

presentationsemigroupsfree groupgenerating setsfree semigroupalgebrasrelation modulesfree productfree monoidfinitely presented algebramodule of relationsMagnus representation theoremone relator semigrouprelation bimodule

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generators, relations, and presentations of groups (20F05) Free semigroups, generators and relations, word problems (20M05) Bimodules in associative algebras (16D20)

Related Items (15)

SECOND ORDER DEHN FUNCTIONS OF GROUPS AND MONOIDS ⋮ SOME EXACT SEQUENCES FOR THE HOMOTOPY (BI-)MODULE OF A MONOID ⋮ A Lyndon's identity theorem for one-relator monoids ⋮ Analysis approach to finite monoids ⋮ For finitely presented monoids the homological finiteness conditions FHT and \(\text{bi-FP}_3\) coincide ⋮ Some array polynomials over special monoid presentations ⋮ On some homotopical and homological properties of monoid presentations. ⋮ Free inverse monoids are not \(\mathrm{FP}_2\) ⋮ Presentations of matrix rings ⋮ THE p-COCKCROFT PROPERTY OF THE SEMI-DIRECT PRODUCTS OF MONOIDS ⋮ FINITENESS CONDITIONS FOR REWRITING SYSTEMS ⋮ Monoid Presentations and Associated Groupoids ⋮ Efficiency for self semi-direct products of the free Abelian monoid on two generators. ⋮ Homotopy reduction systems for monoid presentations ⋮ THE WHITEHEAD ASPHERICITY CONJECTURE AND PERIODIC GROUPS

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