Matches in SemOpenAlex for { <https://semopenalex.org/work/W4317933118> ?p ?o ?g. }
Showing items 1 to 50 of
50
with 100 items per page.
- W4317933118 abstract "A Rota-Baxter Leibniz algebra is a Leibniz algebra $(mathfrak{g},[~,~]_{mathfrak{g}})$ equipped with a Rota-Baxter operator $T : mathfrak{g} rightarrow mathfrak{g}$. We define representation and dual representation of Rota-Baxter Leibniz algebras. Next, we define a cohomology theory of Rota-Baxter Leibniz algebras. We also study the infinitesimal and formal deformation theory of Rota-Baxter Leibniz algebras and show that our cohomology is deformation cohomology. Moreover, We define an abelian extension of Rota-Baxter Leibniz algebras and show that equivalence classes of such extensions are related to the cohomology groups." @default.
- W4317933118 created "2023-01-25" @default.
- W4317933118 creator A5042919093 @default.
- W4317933118 creator A5056607362 @default.
- W4317933118 date "2023-01-24" @default.
- W4317933118 modified "2023-10-15" @default.
- W4317933118 title "Cohomology, deformations and extensions of Rota-Baxter Leibniz algebras" @default.
- W4317933118 doi "https://doi.org/10.46298/cm.10295" @default.
- W4317933118 hasPublicationYear "2023" @default.
- W4317933118 type Work @default.
- W4317933118 citedByCount "0" @default.
- W4317933118 crossrefType "journal-article" @default.
- W4317933118 hasAuthorship W4317933118A5042919093 @default.
- W4317933118 hasAuthorship W4317933118A5056607362 @default.
- W4317933118 hasBestOaLocation W43179331181 @default.
- W4317933118 hasConcept C134306372 @default.
- W4317933118 hasConcept C136119220 @default.
- W4317933118 hasConcept C136170076 @default.
- W4317933118 hasConcept C202444582 @default.
- W4317933118 hasConcept C2780069185 @default.
- W4317933118 hasConcept C33923547 @default.
- W4317933118 hasConcept C78606066 @default.
- W4317933118 hasConcept C91229774 @default.
- W4317933118 hasConceptScore W4317933118C134306372 @default.
- W4317933118 hasConceptScore W4317933118C136119220 @default.
- W4317933118 hasConceptScore W4317933118C136170076 @default.
- W4317933118 hasConceptScore W4317933118C202444582 @default.
- W4317933118 hasConceptScore W4317933118C2780069185 @default.
- W4317933118 hasConceptScore W4317933118C33923547 @default.
- W4317933118 hasConceptScore W4317933118C78606066 @default.
- W4317933118 hasConceptScore W4317933118C91229774 @default.
- W4317933118 hasLocation W43179331181 @default.
- W4317933118 hasLocation W43179331182 @default.
- W4317933118 hasLocation W43179331183 @default.
- W4317933118 hasOpenAccess W4317933118 @default.
- W4317933118 hasPrimaryLocation W43179331181 @default.
- W4317933118 hasRelatedWork W1821847917 @default.
- W4317933118 hasRelatedWork W1970393413 @default.
- W4317933118 hasRelatedWork W2006990530 @default.
- W4317933118 hasRelatedWork W2021494526 @default.
- W4317933118 hasRelatedWork W2056663089 @default.
- W4317933118 hasRelatedWork W2106699808 @default.
- W4317933118 hasRelatedWork W2544863287 @default.
- W4317933118 hasRelatedWork W2963456550 @default.
- W4317933118 hasRelatedWork W4301832336 @default.
- W4317933118 hasRelatedWork W776536739 @default.
- W4317933118 hasVolume "Volume 30 (2022), Issue 2..." @default.
- W4317933118 isParatext "false" @default.
- W4317933118 isRetracted "false" @default.
- W4317933118 workType "article" @default.