Loops whose loop rings are alternative
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Publication:3705588
DOI10.1080/00927878608823308zbMath0582.17015OpenAlexW2160247464MaRDI QIDQ3705588
Publication date: 1986
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927878608823308
Related Items (33)
Units in alternative loop rings ⋮ Moufang loops with limited commutativity and one commutator ⋮ Semi-simplicity of alternative loop rings ⋮ Nilpotent Moufang unit loops ⋮ Units in alternative integral loop rings ⋮ Loop algebras of indecomposable r.a.loops∗ ⋮ Star group identities on units of group algebras ⋮ Loop algebras of code loops ⋮ SRAR loops with more than two commutators. ⋮ Minimally nonassociative nilpotent Moufang loops. ⋮ Moufang loops with a unique nonidentity commutator (associator, square) ⋮ Code loops are RA2 loops ⋮ Isomorphisms of integral alternative loop rings ⋮ Finite conjugacy in alternative loop algebras ⋮ Finite subloops of units in an alternative loop ring ⋮ Classifying finitely generated indecomposable RA loops ⋮ Finitely Generated GroupsGsuch thatG/Z(G) ≈Cp × Cp ⋮ ALGEBRAIC ELEMENTS IN ALTERNATIVE LOOP ALGEBRAS ⋮ Alternative loop rings with solvable unit loops ⋮ Cayley-dickson algebras andRAloops ⋮ Cayley-dickson algebras and alternative loop algebras ⋮ POLYNOMIAL AND GROUP IDENTITIES IN ALTERNATIVE LOOP ALGEBRAS ⋮ The Radical of a Modular Alternative Loop Algebra ⋮ Symmetric Units in Alternative Loop Rings ⋮ Polynomial identities of RA2 loop algebras ⋮ Integral Loop Rings of Loops Whose Derived Subloop Is Central ⋮ Hypercentral units in alternative integral loop rings ⋮ Polynomial Identities of RA and RA2 Loop Algebras ⋮ Unnamed Item ⋮ Isomorphisms of rational loop algebras ⋮ On sernisimple alternative loop algebras ⋮ THREE-GENERATOR INDECOMPOSABLE RA LOOPS ⋮ Torsion Units in Alternative Loop Rings
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