Please use this identifier to cite or link to this item:
http://hdl.handle.net/123456789/4536
Title: | Module decompositions via Rickart modules |
Authors: | Harmanci, A. Ungor, B. |
Keywords: | Soc(·)-inverse split module Rad(·)-inverse split module Rickart module |
Issue Date: | 2018 |
Series/Report no.: | Математичні науки; |
Abstract: | This work is devoted to the investigation of module decompositions which arise from Rickart modules, socle and radical of modules. In this regard, the structure and several illustrative examples of inverse split modules relative to the socle and radical are given. It is shown that a module M has decompositions M = Soc(M) ⊕ N and M = Rad(M) ⊕ K where N and K are Rickart if and only if M is Soc(M)-inverse split and Rad(M)-inverse split, respectively. Right Soc(·)-inverse split left perfect rings and semiprimitive right hereditary rings are determined exactly. Also, some characterizations for a ring R which has a decomposition R = Soc(RR) ⊕ I with I a hereditary Rickart module are obtained. |
Description: | A. Harmanci Module decompositions via Rickart modules / A. Harmanci , B. Ungor // Algebra and Discrete Mathematics. - 2018. - Vol. 26. - Number 1. - Рp.47-64 |
URI: | http://hdl.handle.net/123456789/4536 |
Appears in Collections: | Algebra and Discrete Mathematics. - № 1 (26). - 2018 |
Files in This Item:
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327-3647-1-PB.pdf | 389.11 kB | Adobe PDF | View/Open |
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