Mohammad Mahdavi-Hezavehi

Email: mahdavih[at]sharif.ir
Tel: ++98-21-66165609
Fax: ++98-21-66005117

Papers

 

[1]MR2948852 Pending Mahdavi-Hezavehi, M.Motiee, M. A criterion for the triviality of $G(D)$ and its applications to the multiplicative structure of $D$ . Comm. Algebra 40 (2012), no. 7, 2645�2670. 16K20
 
[2]MR2928128 Pending Dorbidi, H. R.Mahdavi-Hezavehi, M. Frattini subgroup of the unit group of central simple algebras. J. Algebra Appl. 11 (2012), no. 3, 1250061, 8 pp. 16K20 (16U60 20F99)
 
[3]MR2876843 Reviewed Fallah-Moghaddam, R.Mahdavi-Hezavehi, M. Locally finite conditions on maximal subgroups of $GL_n(D)$ . Algebra Colloq. 19 (2012), no. 1,73�86. (Reviewer: Bui Xuan Hai) 20H25 (16K20 20E28)
 
[4]MR2864583 Reviewed Dorbidi, H. R.Fallah-Moghaddam, R.Mahdavi-Hezavehi, M. Soluble maximal subgroups in ${ m GL}_n(D)$ . J. Algebra Appl. 10 (2011), no. 6, 1371�1382. (Reviewer: Bui Xuan Hai) 20H25 (16K20)
 
[5]MR2855113 Reviewed Mahdavi-Hezavehi, M.Motiee, M. Division algebras with radicable multiplicative groups. Comm. Algebra 39 (2011), no. 11, 4084�4096.16K50
 
[6]MR2748129 Reviewed Fallah-Moghaddam, R.Mahdavi-Hezavehi, M. Unit groups of central simple algebras and their Frattini subgroups. J. Algebra Appl. 9 (2010), no. 6, 921�932. (Reviewer: Sergey V. Tikhonov) 16K20 (16U60 20E28)
 
[7]MR2675541 Reviewed Kiani, D.Mahdavi-Hezavehi, M. Tits alternative for maximal subgroups of skew linear groups. Comm. Algebra 38 (2010), no. 6, 2354�2363. (Reviewer: Yusuf Yayli) 15B33 (16K20)
 
[8]MR2568365 Reviewed Fallah-Moghaddam, R.Mahdavi-Hezavehi, M. Corrigendum to "Tits alternative for maximal subgroups of ${ m GL}_n(D)$ '' [J. Algebra 271 (2) (2004) 518�528] [MR2025540]. J. Algebra 322 (2009), no. 10, 3795�3796. 20H25
 
[9]MR2547626 Reviewed Mahdavi-Hezavehi, M. Characterizing the multiplicative group of a real closed field in terms of its divisible maximal subgroup. Bull. Iranian Math. Soc. 35 (2009), no. 1, 175�178, 285. 16K40 (16K50)
 
[10]MR2351890 Reviewed Keshavarzipour, T.Mahdavi-Hezavehi, M. Crossed product conditions for central simple algebras in terms of irreducible subgroups. J. Algebra315 (2007), no. 2, 738�744. (Reviewer: Gabriela Olteanu) 16K20
 
[11]MR2175399 Reviewed Ebrahimian, R.Kiani, D.Mahdavi-Hezavehi Irreducible subgroups of $GL_1(D)$ satisfying group identities. Comm. Algebra 33 (2005), no. 9,3367�3373. (Reviewer: Adrian R. Wadsworth) 16K20 (15A33)
 
[12]MR2154733 Reviewed Ebrahimian, R.Kiani, D.Mahdavi-Hezavehi, M. Supersoluble crossed product criterion for division algebras. Israel J. Math. 145 (2005),325�331. (Reviewer: Timothy J. Ford) 16K20

[13]MR2145000 Reviewed Kiani, D.Mahdavi-Hezavehi, M. Identities on maximal subgroups of ${ m GL}_n(D)$ . Algebra Colloq. 12 (2005), no. 3, 461�470. (Reviewer: Alla S. Detinko) 20H25 (20E28) 

[14]MR2119112 Reviewed Keshavarzipour, T.Mahdavi-Hezavehi, M. On the non-triviality of $G(D)$ and the existence of maximal subgroups of ${ m GL}_1(D)$ . J. Algebra 285 (2005), no. 1, 213�221. 16K20
 
[15]MR2102080 Reviewed Kiani, D.Mahdavi-Hezavehi, M. Crossed product conditions for division algebras of prime power degree. J. Algebra 283 (2005), no. 1,222�231. (Reviewer: Andrzej Sładek) 16K20 (16S35)

[16]MR2099710 Reviewed Kuku, A. O.Mahdavi-Hezavehi, M. Subgroups of ${ m GL}_1(R)$ for local rings $R$ . Comm. Algebra 32 (2004), no. 5, 1895�1902. (Reviewer: Michael Dokuchaev) 16U60 (16K40)

[17]MR2025540 Reviewed Mahdavi-Hezavehi, M. Tits alternative for maximal subgroups of ${ m GL}_n(D)$ . J. Algebra 271 (2004), no. 2, 518�528. (Reviewer: Zong Zhu Lin) 20H25


[18]MR1998187 Reviewed Mahdavi-Hezavehi, M.Tignol, J.-P. Cyclicity conditions for division algebras of prime degree. Proc. Amer. Math. Soc. 131 (2003), no. 12,3673�3676 (electronic). 16K20

[19]MR1978189 Reviewed Mahdavi-Hezavehi, M. Subgroups of finite index in ${ m GL}_n(D)$ . Rev. Roumaine Math. Pures Appl. 47 (2002), no. 1, 77�80 (2003).20G99

[20]MR1904472 Reviewed Akbari, S.Mahdavi-Hezavehi, M. On the existence of normal maximal subgroups in division rings. J. Pure Appl. Algebra 171 (2002), no. 2-3,123�131. (Reviewer: Uzi Vishne) 16K20 (16K40) 

[21]MR1900207 Reviewed Kiani, D.Mahdavi-Hezavehi, M.Yassamin, S. The core of a finitely generated subgroup in ${ m GL}_n(D)$ is central. Int. Math. J. 2 (2002), no. 7, 711�718. (Reviewer: Alla S. Detinko) 20H25

[22]MR1883422 Reviewed Mahdavi-Hezavehi, M. Maximal subgroups of skew linear groups. Algebra Colloq. 9 (2002), no. 1, 1�6. 16K40 (15A33)

[23]MR1867143 Reviewed Mahdavi-Hezavehi, M. Matrix pseudo-valuations on rings. Int. Math. J. 2 (2002), no. 1, 7�30. (Reviewer: N. Sankaran) 16W60

[24]MR1843321 Reviewed Mahdavi-Hezavehi, M. Free subgroups in maximal subgroups of ${ m GL}_1(D)$ . J. Algebra 241 (2001), no. 2, 720�730. (Reviewer: Timothy J. Ford) 16K20 (16U60 20E05) 

[25]MR1945270 Reviewed Mahdavi-Hezavehi, M. Special subgroups of skew linear groups. Euroconference on Algebra and Representation Theory (Constantza, 2000). An. Ştiinţ. Univ. Ovidius Constanţa Ser. Mat. 8 (2000), no. 2, 63�69. (Reviewer: Uzi Vishne) 16K40 (20H25)

[26]MR1828953 Reviewed Mahdavi-Hezavehi, M. Commutators in division rings revisited. Bull. Iranian Math. Soc. 26 (2000), no. 2, 7�88. (Reviewer: Patrick J. Morandi)16K40 (16L30 19B99 20G15)
 
[27]MR1741550 Reviewed Mahdavi-Hezavehi, M.Mahmudi, M. G.Yasamin, S. Finitely generated subnormal subgroups of ${ m GL}_n(D)$ are central. J. Algebra 225 (2000), no. 2, 517�521. 20H25

[28]MR1646321 Reviewed Akbari, S.Mahdavi-Hezavehi, M. Normal subgroups of ${ m GL}_n(D)$ are not finitely generated. Proc. Amer. Math. Soc. 128 (2000), no. 6,1627�1632. (Reviewer: Louis Rowen) 16U60 (16R20 20H25) 

[29]MR1715888 Reviewed Mahdavi-Hezavehi, M. Determinant-like functions for matrices over finite-dimensional division algebras. Algebraic $K$ -theory and its applications (Trieste, 1997), 489�502, World Sci. Publ., River Edge, NJ, 1999. (Reviewer: Ivan D. Chipchakov) 16K20 (15A33)
 
[30]MR1715884 Reviewed Hazrat, R.Mahdavi-Hezavehi, M.Mirzaii, B. Reduced $K$ -theory and the group $G(D)=D^*/F^*D'$ . Algebraic $K$ -theory and its applications (Trieste, 1997), 403�409, World Sci. Publ., River Edge, NJ, 1999. (Reviewer: Uzi Vishne) 16K20 (19B28)

[31]MR1700508 Reviewed Akbari, S.Mahdavi-Hezavehi, M.Mahmudi, M. G. Maximal subgroups of ${ m GL}_1(D)$ . J. Algebra 217 (1999), no. 2, 422�433. (Reviewer: Uzi Vishne) 16K20

[32]MR1844971 Reviewed Mahdavi-Hezavehi, M. Commutator subgroups of finite dimensional division algebras. Rev. Roumaine Math. Pures Appl. 43 (1998), no. 9-10,853�867. (Reviewer: Roozbeh Hazrat) 16K20

[33]MR1683137 Reviewed Mahdavi-Hezavehi, M.Akbari, S. Some special subgroups of ${ m GL}_n(D)$ . Algebra Colloq. 5 (1998), no. 4, 361�370. (Reviewer: Alexander W. Mason) 16K20
 
[34]MR1619833 Reviewed Mahdavi-Hezavehi, M.Jahani-Nezhad, R. Value functions on simple Artinian rings. Results Math. 33 (1998), no. 3-4, 328�337. (Reviewer: Patrick J. Morandi) 16K40 (16W60)
 
[35]MR1653932 Reviewed Mahdavi-Hezavehi, M.Mojdeh, D. On derived groups of division ring extensions. Sci. Iran. 4 (1997), no. 1-2, 53�56. 16K40

[36]MR1423089 Reviewed Mahdavi-Hezavehi, M.Akbari-Feyzaabaadi, S. On a question of Herstein concerning commutators in division rings. Rev. Roumaine Math. Pures Appl. 41 (1996), no. 3-4, 201�204. 16K40

[37]MR1652933 Reviewed Mahdavi-Hezavehi, M. Valuations on simple Artinian rings. Sci. Iran. 1 (1995), no. 4, 347�351. (Reviewer: Patrick J. Morandi) 16K40 (16W60)


[38]MR1431584 Reviewed Mahdavi-Hezavehi, M.Akbari, S. A generalization of Kaplansky's theorem. Bull. Iranian Math. Soc. 21 (1995), no. 1, 1�4. 16K40

[39]MR1332151 Reviewed Mahdavi-Hezavehi, M.Akbari-Feyzaabaadi, S.Mehraabaadi, M.Hajie-Abolhassan, H. On derived groups of division rings. II. Comm. Algebra23 (1995), no. 8, 2881�2887. (Reviewer: Louis Rowen) 16K40 (16K20)

[40]MR1316740 Reviewed Mahdavi-Hezavehi, M. Extension of valuations on derived groups of division rings. Comm. Algebra 23 (1995), no. 3, 913�926. (Reviewer: Louis Rowen) 16K40 (16K20)


[41]MR1284335 Reviewed Mahdavi-Hezavehi, M. Extending valuations to algebraic division algebras. Comm. Algebra 22 (1994), no. 11, 4373�4378. 16K20 (12E15 12J20)
 
[42]MR0685873 Reviewed Mahdavi-Hezavehi, M. Matrix valuations and their associated skew fields. Resultate Math. (1982), no. 2, 149�156. (Reviewer: Jean-Pierre van Deuren) 16A39 (12E15)
 
[43]MR0602971 Reviewed Mahdavi-Hezavehi, M. Totally ordered rings and fields. Bull. Iranian Math. Soc. 7, no. 2, 41�54. (1980), (Reviewer: D. G. Johnson) 06F25 (10M15 16A86)
 
[44]MR0590783 Reviewed Cohn, P. M.Mahdavi-Hezavehi, M. Extensions of valuations on skew fields. Ring theory, Antwerp 1980 (Proc. Conf., Univ. Antwerp, Antwerp, 1980), pp. 28�41, Lecture Notes in Math., 825, Springer, Berlin, 1980. (Reviewer: D. A. Jordan) 12E15 (12J10 13A18 16A39)

[45]MR0563316 Reviewed Mahdavi-Hezavehi, M. Matrix valuations on rings. Ring theory (Proc. Antwerp Conf. (NATO Adv. Study Inst.), Univ. Antwerp, Antwerp, 1978),pp. 691�703, Lecture Notes in Pure and Appl. Math., 51, Dekker, New York, 1979. (Reviewer: P. M. Cohn) 16A39