پیوندهای مفید
آمار
| تعداد نشریات | 32 |
| تعداد شمارهها | 860 |
| تعداد مقالات | 8,356 |
| تعداد مشاهده مقاله | 52,933,138 |
| تعداد دریافت فایل اصل مقاله | 9,318,848 |
Two notes on “On the maximal spectrum of a module and Zariski topology” | ||
| Journal of Algebra and Related Topics | ||
| دوره 12، شماره 2، فروردین 2025، صفحه 47-51 اصل مقاله (245.43 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2024.24074.1508 | ||
| نویسندگان | ||
| S. C. Han* ؛ J. N. Ho | ||
| Faculty of Mathematics, Kim Il Sung University, Pyongyang, Democratic People's Republic of Korea | ||
| چکیده | ||
| For unitary modules over commutative rings with non-zero identity, Question 3.28 in [Bull. Malays. Math. Sci. Soc. 38(1) (2015) 303] asks if the maximal spectrum of a max-injective module is a max-spectral topological space and Proposition 3.19 in it contains an assertion that the maximal spectrum of a max-injective module is a T2-space. In this paper, we give a negative answer to the above question and show that the above assertion is false by two examples of multiplication modules. | ||
| کلیدواژهها | ||
| Maximal submodule؛ Max-injective module؛ Max-spectral space؛ Multiplication module؛ Zariski topology | ||
| مراجع | ||
|
1. R. Ameri, Some properties of Zariski topology of multiplication modules, Houston J. Math., (2) 36 (2010), 337-344. 2. H. Ansari-Toroghy and S. Keyvani, On the maximal spectrum of a module and Zariski topology, Bull. Malays. Math. Sci. Soc., (1) 38 (2015), 303-316. 3. Z. A. El-Bast and P. F. Smith, Multiplication modules, Comm. Algebra, (4) 16 (1988), 755-779. 4. S. C. Han, W. S. Pae and J. N. Ho, Topological properties of the prime spectrum of a semimodule, J. Algebra, 566 (2021), 205-221. 5. M. Hochster, Prime ideal structure in commutative rings, Trans. Amer. Math. Soc., 142 (1969), 43-60. 6. R. Ovlyaee-Sarmazdeh and S. Maleki-Roudposhti, On Max-injective modules, J. Algebra Relat. Topics, (1) 1 (2013), 57-66. | ||
|
آمار تعداد مشاهده مقاله: 202 تعداد دریافت فایل اصل مقاله: 254 |
||