Results 41 to 50 of about 335,227 (157)
A Quasi-Commutative Ring That is Not Neo-Commutative [PDF]
Proceedings of the American Mathematical Society, 1994 An example of a ring that is quasi-commutative but not neo-commutative is given.
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Irish Mathematical Society Bulletin, 1996 Summary: We exhibit with proof a ring of minimal order in which the commutator subset is not a subring.
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On commutators and derivations in rings
Journal of Algebra, 2004 Let \(a\) be a fixed element of the ring \(R\); and for each \(x_0\in R\), define higher commutators \(x_1,x_2,\dots\) inductively by \(x_i=[a,x_{i-1}]\). The authors' main purpose is to study when products \(b_ic_j\) or integer multiples of such products lie in the ideal generated by some power of \(a\).
Brešar, Matej +2 more
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Pathological modules over tame rings [PDF]
, 1976 Brenner S, Ringel CM. Pathological modules over tame rings. Journal of the London Mathematical Society.
Ringel, Claus Michael, Brenner, Sheila
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A Commutativity Theorem for Rings [PDF]
Proceedings of the American Mathematical Society, 1976 Let R R be any associative ring. Suppose that for every pair
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The structure of balanced rings [PDF]
, 1973 Dlab V, Ringel CM. The structure of balanced rings. Proceedings of the London Mathematical Society.
Dlab, Vlastimil, Ringel, Claus Michael
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Normality in group rings [PDF]
, 2008 Let KG be the group ring of a group G over a commutative ring K with unity. The rings KG are described for which xx(sigma)=x(sigma)x for all x=∑(g∈G)alfa(g)g∈KG, where x↦x(sigma)=∑(g∈G)alfa(g)f(g)sigma(g) is an involution of KG; here f:G→U(K) is a ...
Bódi, Viktor, Siciliano, S.
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Commutativity theorems for rings and groups with constraints on commutators
International Journal of Mathematics and Mathematical Sciences, 1984 Let n>1, m, t, s be any positive integers, and let R be an associative ring with identity. Suppose xt[xn,y]=[x,ym]ys for all x, y in R. If, further, R is n-torsion free, then R is commutativite.
Evagelos Psomopoulos
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Commutativity and structure of rings with commuting nilpotents
International Journal of Mathematics and Mathematical Sciences, 1983 Let R be a ring and let N denote the set of nilpotent elements of R. Let Z denote the center of R. Suppose that (i) N is commutative, (ii) for every x in R there exists x′ϵ such that x−x2x′ϵN, where denotes the subring generated by x, (iii) for every x ...
Hazar Abu-Khuzam, Adil Yaqub
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An iteration technique and commutativity of rings
International Journal of Mathematics and Mathematical Sciences, 1990 Through much shorter proofs, some new commutativity theorems for rings with unity have been obtained. These results either extend or generalize a few well-known theorems. Our method of proof is based on an iteration technique.
H. A. S. Abujabal, M. S. Khan
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