Results 21 to 30 of about 3,342 (65)
On Semiabelian π‐Regular Rings
International Journal of Mathematics and Mathematical Sciences, Volume 2007, Issue 1, 2007., 2007 A ring R is defined to be semiabelian if every idempotent of R is either right semicentral or left semicentral. It is proved that the set N(R) of nilpotent elements in a π‐regular ring R is an ideal of R if and only if R/J(R) is abelian, where J(R) is the Jacobson radical of R. It follows that a semiabelian ring R is π‐regular if and only if N(R) is an
Weixing Chen, Howard E. Bell
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006 We investigate the question whether the p.q.‐Baer center of a ring R can be extended to R. We give several counterexamples to this question and consider some conditions under which the answer may be affirmative. The concept of a generalized p.q.‐Baer property which is a generalization of Baer property of a ring is also introduced.
Tai Keun Kwak
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 8, Page 459-466, 2002., 2002 Let R be a ring. The circle operation is the operation a∘b = a + b − ab, for all a, b ∈ R. This operation gives rise to a semigroup called the adjoint semigroup or circle semigroup of R. We investigate rings in which the adjoint semigroup is regular. Examples are given which illustrate and delimit the theory developed.
Henry E. Heatherly, Ralph P. Tucci
wiley +1 more source
Idempotents in nest algebras [PDF]
, 1991 The algebraic equivalence and similarity classes of idempotents within a nest algebra Alg β are completely characterized. We obtain necessary and sufficient conditions for two idempotents to be equivalent or similar.
Pitts, David R, Larson, David R
core +1 more source
(ℓ,p)-Jones-Wenzl idempotents [PDF]
, 2022 The Jones-Wenzl idempotents of the Temperley-Lieb algebra are celebrated elements defined over characteristic zero and for generic loop parameter. Given a pointed field ( R , δ ) , we extend the existing results of Burrull, Libedinsky and Sentinelli to ...
core +2 more sources
Semicentral idempotents in the multiplication ring of a centrally closed prime ring [PDF]
, 2012 Let R be a ring and let M(R) stand for the multiplication ring of R. An idempotent E in M(R) is called left semicentral if its range E(R) is a right ideal of R.
Cabrera, M., Cabello, J.C., Nieto, E.
core
Centrality and Partition of Idempotents [PDF]
, 2023 We show that an idempotent lies in the center if it commutes with the other idempotents in the ring. Next, we introduce a partition of the set of idempotents and show that the automorphisms of the ring act transitively on each equivalence class.Comment ...
Chintala, Vineeth
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OnC*-Algebras Generated by Idempotents [PDF]
, 1996 The topic of the present paper is concrete Banach andC*-algebras which are generated by a finite number of idempotents. Our first result is that, for each finitely generated Banach algebra A, there is a numbern0so that the algebra An×nof alln×nmatrices ...
Roch, Steffen +2 more
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Idempotents with polynomial coefficients
, 2010 8 pagesWe combine Young idempotents in the group algebra of the symmetric group with the action of the symmetric group on products of Vandermonde determinants to obtain idempotents with polynomial ...
Lascoux, Alain
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Rings with transitive chaining of idempotents
, 2023 International audienceWe prove that transitivity of strong or weak 2-chaining of idempotents is equivalent to centrality of idempotents modulo the Jacobson ...
Mary, Xavier
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