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A ring R is called right SSP (SIP) if the sum (intersection) of any two direct summands of RR is also a direct summand. Left SSP (SIP) rings are defined similarly. There are several interesting results on rings with SSP. For example, R is right SSP if and only if R is left SSP, and R is a von Neumann regular ring if and only if Mn(R) is SSP for some n > 1. It is shown that R is a semisimple ring if and only if the column finite matrix ring ℂFM(R) is SSP, where ℕ is the set of natural numbers. Some known results are proved in an easy way through idempotents of rings. Moreover, some new results on SSP rings are given.

  • [1]

    Alkan, M. and Harmanci, A., On Summand Sum and Summand Intersection Property of Modules, Turk. J. Math., 26 (2002), 131147.

  • [2]

    Anderson, F. and Fuller, K., Rings and Categories of Modules, Springer-Verlag (1992).

  • [3]

    Garcia, J., Properties of Direct Dummands of Modules, Commun. Algebra, 17 (1989), 7392.

  • [4]

    Hausen, J., Moudles with The Summand Intersection Property, Commun. Algebra, 17 (1989), 135148.

  • [5]

    Nicholson, W. and Yousif, M., Quasi-Frobenius Rings, Cambridge University Press (2003).

  • [6]

    Wilson, G., Modules with The Summand Intersection Property, Commun. Algebra, 14 (1986), 2138.

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  • SJR Quartile Score (2018): Q3 Mathematics (miscellaneous)

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Editor(s)-in-Chief: Pálfy Péter Pál

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  • Biró, András (Number theory)
  • Csáki, Endre (Probability theory and stochastic processes, Statistics)
  • Domokos, Mátyás (Algebra (Ring theory, Invariant theory))
  • Győri, Ervin (Graph and hypergraph theory, Extremal combinatorics, Designs and configurations)
  • O. H. Katona, Gyula (Combinatorics)
  • Márki, László (Algebra (Semigroup theory, Category theory, Ring theory))
  • Némethi, András (Algebraic geometry, Analytic spaces, Analysis on manifolds)
  • Pach, János (Combinatorics, Discrete and computational geometry)
  • Rásonyi, Miklós (Probability theory and stochastic processes, Financial mathematics)
  • Révész, Szilárd Gy. (Analysis (Approximation theory, Potential theory, Harmonic analysis, Functional analysis))
  • Ruzsa, Imre Z. (Number theory)
  • Soukup, Lajos (General topology, Set theory, Model theory, Algebraic logic, Measure and integration)
  • Stipsicz, András (Low dimensional topology and knot theory, Manifolds and cell complexes, Differential topology)
  • Szász, Domokos (Dynamical systems and ergodic theory, Mechanics of particles and systems)
  • Tóth, Géza (Combinatorial geometry)

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