On dual Rickart modules and weak dual Rickart modules
Let R be a ring. A right R-module M is called d-Rickart if for every endomorphism φ of M, φ(M) is a direct summand of M and it is called wd-Rickart if for every nonzero endomorphism φ of M, φ(M) contains a nonzero direct summand of M. We begin with some basic properties of (w)d-Rickart modules. Then...
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| Datum: | 2018 |
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| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2018
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| Schriftenreihe: | Algebra and Discrete Mathematics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/188359 |
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| Zitieren: | On dual Rickart modules and weak dual Rickart modules / D. Keskin Tütüncü, N. Orhan Ertas, R. Tribak // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 2. — С. 200–214 . — Бібліогр.: 15 назв. — англ. |
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irk-123456789-1883592023-02-26T01:26:53Z On dual Rickart modules and weak dual Rickart modules Keskin Tütüncü, D. Orhan Ertas, N. Tribak, R. Let R be a ring. A right R-module M is called d-Rickart if for every endomorphism φ of M, φ(M) is a direct summand of M and it is called wd-Rickart if for every nonzero endomorphism φ of M, φ(M) contains a nonzero direct summand of M. We begin with some basic properties of (w)d-Rickart modules. Then we study direct sums of (w)d-Rickart modules and the class of rings for which every finitely generated module is (w)d-Rickart. We conclude by some structure results. 2018 Article On dual Rickart modules and weak dual Rickart modules / D. Keskin Tütüncü, N. Orhan Ertas, R. Tribak // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 2. — С. 200–214 . — Бібліогр.: 15 назв. — англ. 1726-3255 2010 MSC: Primary 16D10; Secondary 16D80. http://dspace.nbuv.gov.ua/handle/123456789/188359 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| description |
Let R be a ring. A right R-module M is called d-Rickart if for every endomorphism φ of M, φ(M) is a direct summand of M and it is called wd-Rickart if for every nonzero endomorphism φ of M, φ(M) contains a nonzero direct summand of M. We begin with some basic properties of (w)d-Rickart modules. Then we study direct sums of (w)d-Rickart modules and the class of rings for which every finitely generated module is (w)d-Rickart. We conclude by some structure results. |
| format |
Article |
| author |
Keskin Tütüncü, D. Orhan Ertas, N. Tribak, R. |
| spellingShingle |
Keskin Tütüncü, D. Orhan Ertas, N. Tribak, R. On dual Rickart modules and weak dual Rickart modules Algebra and Discrete Mathematics |
| author_facet |
Keskin Tütüncü, D. Orhan Ertas, N. Tribak, R. |
| author_sort |
Keskin Tütüncü, D. |
| title |
On dual Rickart modules and weak dual Rickart modules |
| title_short |
On dual Rickart modules and weak dual Rickart modules |
| title_full |
On dual Rickart modules and weak dual Rickart modules |
| title_fullStr |
On dual Rickart modules and weak dual Rickart modules |
| title_full_unstemmed |
On dual Rickart modules and weak dual Rickart modules |
| title_sort |
on dual rickart modules and weak dual rickart modules |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2018 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/188359 |
| citation_txt |
On dual Rickart modules and weak dual Rickart modules / D. Keskin Tütüncü, N. Orhan Ertas, R. Tribak // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 2. — С. 200–214 . — Бібліогр.: 15 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT keskintutuncud ondualrickartmodulesandweakdualrickartmodules AT orhanertasn ondualrickartmodulesandweakdualrickartmodules AT tribakr ondualrickartmodulesandweakdualrickartmodules |
| first_indexed |
2025-07-16T10:23:03Z |
| last_indexed |
2025-07-16T10:23:03Z |
| _version_ |
1837798663326269440 |