دانشگاه آیت الله العظمی بروجردی(ره)

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دکتر آزاده نیک سرشت

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ریاضی

دانشکده علوم پایه

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دکترای ریاضی از دانشگاه صنعتي خواجه نصيرالدين طوسي
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a.nikseresht@abru.ac.ir

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- داخلی: 385
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ساختمان: دانشکده علوم پایه
شرح وظایف
مباني جبر
جبر 1
جبر 2
جبر پيشرفته
قضاياي سيلو و نظريه گالوا
نظريه گراف و كاربردها
نظريه اعداد
مباني تركيبيات
مباني رياضي
مباني ماتريس و جبر خطي
زبان تخصصي رياضي
معادلات ديفرانسيل
رياضي عمومي 1
رياضي عمومي 2
رياضي عمومي 3
مباحثي در رياضيات و كاربردها
رياضيات پايه رشته‌هاي علوم انساني و علوم فني و مهندسي
آمار و احتمال 1
آمار و احتمال 2
مباني منطق و نظريه مجموعه‌ها
جبر
نظريه ارزياب
نظريه ميدان
نشریات داخلی
آزاده نيك سرشت، جفت هاي متمايز عناصر جبري، مجله پژوهش های نوین در ریاضی، دوره8، شماره37، ص197-208، سال 1401.
آزاده نيك سرشت، چرا آیزنشتاین محک آیزنشتاین را ثابت کرد و چرا شانمن نخستین بار آن را کشف کرد، مجله فرهنگ و انديشه رياضي، دوره41، شماره2(71)، ص173-198، بهمن 1401.
نشریات بین المللی
Kamal Aghigh, Azadeh Nikseresht, On extensions of semilocal Prüfer domains, Communications in Algebra, 42(10), 4235-4240, 2014.
Kamal Aghigh, Azadeh Nikseresht, Constructing complete distinguished chains with given invariants, Journal of Algebra and Its Applications, 14, 1550026, 10 pages, 2015.
Kamal Aghigh, Azadeh Nikseresht, Characterizing distinguished pairs by using lifting of irreducible polynomials, Canadian Mathematical Bulletin, 58(2), 225-232, 2015.
Azadeh Nikseresht, A study of defectless and vs-defectless extensions of valued fields, Journal of Linear and Topological Algebra, 10(02), 131-143, 2021.
Azadeh Nikseresht, A note on defectless extensions of henselian valued fields, Commun. Korean Math. Soc., 37(1), 65-74, 2022.
Azadeh Nikseresht, Indecomposed semilocal Prüfer domains, Vietnam Journal of Mathematics, 51, 415–420, 2023. See the link " https://rdcu.be/cALP5 " for the full text.
Azadeh Nikseresht, A classification of extensions generated by a root of an Eisenstein-Dumas polynomial, Journal of Algebraic Systems, vol 11(2), 83-91, 2024.
Azadeh Nikseresht, Tame fields and distinguished pairs, Communications in Algebra, to appear. https://doi.org/10.1080/00927872.2023.2172175
Azadeh Nikseresht, A note on saturated distinguished chains of length one, Journal of Algebra and Its Applications, to apper. https://doi.org/10.1142/S0219498824502517
Azadeh Nikseresht, On finite tame extensions and metric invariants, Asian-European Journal of Mathematics, acceped.
همایش های داخلی
A characterization of distinguished pairs, 9th Seminar on Commutative Algebra and Related Topics, Iran, November 7-8 (2012).
A new proof of a theorem on characterizing complete distinguished chains, 44th Annual Iranian Mathematics Conference, Iran, August 27-30 (2013).
A result on defectless extensions of valued fields, 44th Annual Iranian Mathematics Conference, Iran, August 27-30 (2013).
A characterization of defectless extensions of a Henselian valued field, 25th Iranian Algebra Seminar, Iran, July 20-21 (2016).
On complete distinguished chains, 47th Annual Iranian Mathematics Conference, Iran, August 28-31 (2016).
On roots of liftings of irreducible polynomials, 47th Annual Iranian Mathematics Conference, Iran, August 28-31 (2016).
A characterition of Brown’s invariant, 48th Annual Iranian Mathematics Conference, Iran, August 22-25 (2017).
A result on tame extensions of a henselian valued field, 48th Annual Iranian Mathematics Conference, Iran, August 22-25 (2017).
On the existence of the extensions of a valuation with given residue fields, 49th Annual Iranian Mathematics Conference, Iran, August 23-26 (2018)
An example of extensions of a Henselian valued field, 2nd Mathematics Congress New Mathematical Research, Iran, May 16 (2018).
About the discriminant of pure fields, 1th National Conference on Applied Researches in Basic Sciences, Iran, May 26-27 (2022).
همایش های بین المللی
A note on defectless extensions of valued fields, 2nd International conference on Mathematical Science, Turkey, July 10-11 (2014).
On integral bases of pure prime fields, The First International Conference on Mathematics and its Applications, Iran, August 11-12 (2021).

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