On the finite Goldie dimension of sum of two ideals of an R-group
Tapatee Sahoo, Babushri Srinivas Kedukodi, Harikrishnan Panackal, Syam Prasad Kuncham · Discussiones Mathematicae - General Algebra and Applications · 2023
We consider an R-group G, where R is a zero symmetric right nearring.We obtain the Ω-dimension of sum of two ideals of G, as a natural generalization of sum of two subspaces of a finite dimensional vector space; indeed, difficulty due to non-linearity in G.However, in this paper we overcome the situation under a suitable assumption.More precisely, we prove that for a proper ideal Ω of G with Ω-finite Goldie dimension (Ω-In the sequel, we prove several properties.