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Hoque, Azizul
- Some Aspects of Quasi-Pseudo Principally Injective Modules
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Authors
Affiliations
1 Gauhati University, Department of Mathematics, Guwahati-781014, IN
2 The Iraqi Ministry of Education, Directorate-General for Education, Wasit, IQ
1 Gauhati University, Department of Mathematics, Guwahati-781014, IN
2 The Iraqi Ministry of Education, Directorate-General for Education, Wasit, IQ
Source
Journal of the Ramanujan Mathematical Society, Vol 31, No 3 (2016), Pagination: 257-263Abstract
In this paper, the notion of quasi-pseudo injectivity relative to a class of submodules, namely, quasi-pseudo principally injective has been studied. This notion is closed under direct summands. Several properties and characterizations have been given. In particular, we characterize Noetherian Rings and Dedekind Domains by quasi-pseudo principally injectivity.
- Divisibility of Class Numbers of Certain Families of Quadratic Fields
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Authors
Affiliations
1 Harish-Chandra Research Institute, HBNI, Chhatnag Road, Jhunsi, Allahabad 211 019, IN
1 Harish-Chandra Research Institute, HBNI, Chhatnag Road, Jhunsi, Allahabad 211 019, IN
Source
Journal of the Ramanujan Mathematical Society, Vol 34, No 3 (2019), Pagination: 281-289Abstract
We construct some families of quadratic fields whose class numbers are divisible by 3. The main tools used are a trinomial introduced by Kishi and a parametrization of Kishi and Miyake of a family of quadratic fields whose class numbers are divisible by 3. At the end we compute class number of these fields for some small values and verify our results.References
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