On the second spectrum of lattice modules
The second spectrum Specs(M) is the collection of all second elements of M. In this paper, we study the topology on Specs(M), which is a generalization of the Zariski topology on the prime spectrum of lattice modules. Besides some properties, Specs(M) is characterized and the interrelations between...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2017-06-01
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| Series: | Discussiones Mathematicae - General Algebra and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.7151/dmgaa.1266 |
| _version_ | 1827840945110908928 |
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| author | Phadatare Narayan Ballal Sachin Kharat Vilas |
| author_facet | Phadatare Narayan Ballal Sachin Kharat Vilas |
| author_sort | Phadatare Narayan |
| collection | DOAJ |
| description | The second spectrum Specs(M) is the collection of all second elements of M. In this paper, we study the topology on Specs(M), which is a generalization of the Zariski topology on the prime spectrum of lattice modules. Besides some properties, Specs(M) is characterized and the interrelations between the topological properties of Specs(M) and the algebraic properties of M, are studied. |
| first_indexed | 2024-03-12T07:42:59Z |
| format | Article |
| id | doaj.art-cdf655f4c1cb4b67b4f06f06fa2fa600 |
| institution | Directory Open Access Journal |
| issn | 2084-0373 |
| language | English |
| last_indexed | 2024-03-12T07:42:59Z |
| publishDate | 2017-06-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | Discussiones Mathematicae - General Algebra and Applications |
| spelling | doaj.art-cdf655f4c1cb4b67b4f06f06fa2fa6002023-09-02T21:12:46ZengUniversity of Zielona GóraDiscussiones Mathematicae - General Algebra and Applications2084-03732017-06-01371597410.7151/dmgaa.1266dmgaa.1266On the second spectrum of lattice modulesPhadatare Narayan0Ballal Sachin1Kharat Vilas2Department of Mathematics, Savitribai Phule Pune University, Pune-411 007, IndiaDepartment of Mathematics, Savitribai Phule Pune University, Pune-411 007, IndiaDepartment of Mathematics, Savitribai Phule Pune University, Pune-411 007, IndiaThe second spectrum Specs(M) is the collection of all second elements of M. In this paper, we study the topology on Specs(M), which is a generalization of the Zariski topology on the prime spectrum of lattice modules. Besides some properties, Specs(M) is characterized and the interrelations between the topological properties of Specs(M) and the algebraic properties of M, are studied.https://doi.org/10.7151/dmgaa.1266second elementprime elementmaximal elementminimal elementspectral space06d1006e1006f10 |
| spellingShingle | Phadatare Narayan Ballal Sachin Kharat Vilas On the second spectrum of lattice modules Discussiones Mathematicae - General Algebra and Applications second element prime element maximal element minimal element spectral space 06d10 06e10 06f10 |
| title | On the second spectrum of lattice modules |
| title_full | On the second spectrum of lattice modules |
| title_fullStr | On the second spectrum of lattice modules |
| title_full_unstemmed | On the second spectrum of lattice modules |
| title_short | On the second spectrum of lattice modules |
| title_sort | on the second spectrum of lattice modules |
| topic | second element prime element maximal element minimal element spectral space 06d10 06e10 06f10 |
| url | https://doi.org/10.7151/dmgaa.1266 |
| work_keys_str_mv | AT phadatarenarayan onthesecondspectrumoflatticemodules AT ballalsachin onthesecondspectrumoflatticemodules AT kharatvilas onthesecondspectrumoflatticemodules |