Rings all of whose additive endomorphisms are left multiplications.
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Rings Graded By a Generalized Group
Farzad Fatehi, Mohammad Reza Molaei (2014)
Topological Algebra and its Applications
The aim of this paper is to consider the ringswhich can be graded by completely simple semigroups. We show that each G-graded ring has an orthonormal basis, where G is a completely simple semigroup. We prove that if I is a complete homogeneous ideal of a G-graded ring R, then R/I is a G-graded ring.We deduce a characterization of the maximal ideals of a G-graded ring which are homogeneous. We also prove that if R is a Noetherian graded ring, then each summand of it is also a Noetherian module..
Rings of skew polynomials in algebraical approach to control theory
Jan Ježek (1996)
Kybernetika
Rings -radical over -subrings
B. Felzenszwalb, P. Misso (1985)
Rendiconti del Seminario Matematico della Università di Padova
Rings with involution whose symmetric elements are central.
Lim, Taw Pin (1980)
International Journal of Mathematics and Mathematical Sciences
Rota-Baxter operators and Bernoulli polynomials
Vsevolod Gubarev (2021)
Communications in Mathematics
We develop the connection between Rota-Baxter operators arisen from algebra and mathematical physics and Bernoulli polynomials. We state that a trivial property of Rota-Baxter operators implies the symmetry of the power sum polynomials and Bernoulli polynomials. We show how Rota-Baxter operators equalities rewritten in terms of Bernoulli polynomials generate identities for the latter.
Rota-type operators on 3-dimensional nilpotent associative algebras
N.G. Abdujabborov, I.A. Karimjanov and M.A. Kodirova (2021)
Communications in Mathematics
We give the description of Rota–Baxter operators, Reynolds operators, Nijenhuis operators and average operators on 3-dimensional nilpotent associative algebras over .
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