یک رده‌بندی از عناصر جبری از درجه اول با استفاده از پایه ارزیابی

1. نیک‌سرشت آزاده، جفت‌های متمایز عناصر جبری ، مجله پژوهش‌های نوین در ریاضی، سال 8، شماره 37 (1401) 197-208.

Aghigh K., Khanduja S.K., "On chains associated with elements algebraic over a Henselian valued field", Algebra Colloq., 12 (4) (2005) 607-616.

Aghigh K., Khanduja S.K., "On the main invariant of elements algebraic over a Henselian valued field", Proc. Edinb. Math. Soc., 45 (2002) no. 1, 219-227.

Aghigh K., Nikseresht A., "Characterizing distinguished pairs by using liftings of irreducible polynomials", Canad. Math. Bull., 58 (2015) no. 2, 225-232.

Aghigh K., Nikseresht A., "Constructing complete distinguished chains with given invariants", J. Algebra Appl., 14 (2015) no. 3, 1550026, 10 pp.

Alexandru V., Popescu N., Zaharescu A., "All valuations on K(x)", J. Math. Kyoto Univ., 30 (1990) 281-296.

Alexandru V., Popescu N., Zaharescu A., "A theorem of characterization of residual transcendental extensions of a valuation", J. Math. Kyoto Univ., 28 (1988) 579-592.

Alexandru V., Popescu N., Zaharescu A., "Minimal pairs of definition of a residual transcendental extension of a valuation", J. Math. Kyoto Univ., 30 (1990) 207-225.

Anscombe, S., Kuhlmann, F.-V., "Notes on extremal and tame valued fields", J. Symb. Log., 81 (2016) no. 2, 400-416.

Azgin S., Kuhlmann F.-V., Pop F., "Characterization of extremal valued fields", Proc. Amer. Math. Soc., 140 (2012) no. 5, 1535-1547.

Bishoni A., Khanduja S.K., "On Eisenstein-Dumas and generalized Schönemann polynomials", Comm. Algebra, 38 (2010) no. 9, 3163-3173.

Blaszczok, A., "Distances of elements in valued field extensions", Manuscripta Math., 159 (2019) no. 3-4, 397-429.

Bourbaki N., "Theory of Sets", Hermann (1968).

Brown R., Merzel J.L., "Invariants of defectless irreducible polynomials", J. Algebra Appl., 9 (2010) no. 4, 603-631.

Endler O., "Valuation Theory", Springer-Verlag, New York-Heidelberg, Berlin (1972).

Engler A.J., Prestel A., "Valued Fields", Springer-Verlag, Berlin (2005).

Khanduja S.K., Khassa R., "On invariants and strict system of irreducible polynomials over Henselian valued fields", Comm. Algebra, 39 (2011) 584-593.

Kuhlmann F.-V., "A classification of Artin-Schreier defect extensions and characterizations of defectless fields", Illinois J. Math., 54 (2010) no. 2, 397-448.

Lang S., "Algebra", revised third ed., Addison-Wesley Publishing Company Advanced Book Program, Reading, MA (2002).

Moraes de Oliveira N., Nart E., "Defectless polynomials over henselian fields and inductive valuations", J. Algebra, 541 (2020) 270-307.

Okutsu K., "Construction of integral basis IV", Proc. Japan Acad. Ser. A Math. Sci., 58 (1982) no. 4, 167-169.

Okutsu K., "Integral basis of the field Q√(n&a)", Proc. Japan Acad. Ser. A Math. Sci., 58 (1982) no. 5, 219-222.

Popescu N., Zaharescu A., "On the structure of the irreducible polynomials over local fields", J. Number Theory, 52 (1995) 98-118.

Tignol J.-P., "Classification of wild cyclic field extensions and division algebras of prime degree over a Henselian field", in: Contemp. Math., 131 (1992) 491-508.

Zariski O., Samuel P., "Commutative Algebra", Vol. II. Springer-Verlag, New York-Heidelberg (1975)