LIST OF PUBLICATIONS LADISLAV BICAN

LIST OF PUBLICATIONS LADISLAV BICAN [1] Aplikace teorie grafů na výpočet determinantů matic speciálního typu, Acta Univ. Carolinae 2(1965), 35-61. [2] On isomorphism of quasi-isomorphic torsionfree abelian groups, Comment. Math. Univ. Carolinae 9(1968), 109-119. [3] O jistých grupách matic, Čas. pěst. mat. 94(1969), 305-313. [4] Some properties of completely decomposable torsionfree abelian groups, Czech. Math. J. 19(94),(1969), 518-533. [5] On splitting mixed abelian groups, Czech. Math. J. 20(95),(1970), 74-80. [6] Factor-splitting abelian groups of rank two, Comment. Math. Univ. Carolinae 11(1970), 1-8. [7] Mixed abelian groups of torsionfree rank one, Czech. Math. J. 20(95),(1970), 232-242. [8] The lattice of radical filters of a commutative Noetherian ring, Comment. Math. Univ. Carolinae 12(1971), 53-59. [9]Anoteonmixedabeliangroups,Czech.Math.J.21(96),(1971),413-417. [10] Abelovy grupy,(1971), 160 pp. [11] Pure closures, Czech. Math. J. 22(97),(1972), 78-82. [12] Projective purities, Comment. Math. Univ. Carolinae 13(1972), 99-107. [13] Notes on purities, Czech. Math. J. 22(97),(1972), 525-534. [14](Jambor, Kepka, Němec) On rings with trivial torsion part, Bull. Austral. Math. Soc. 9(1973), 275-290. [15] A remark on n-torsionfree modules, Comment. Math. Univ. Carolinae 14 (1973), 223-229. [16] QF-3 modules and rings, Comment. Math. Univ. Carolinae 14(1973), 295-303. [17](Jambor, Kepka, Němec) Preradicals, Comment. Math. Univ. Carolinae 15(1974), 75-83. [18] A remark on projectively closed purities, Czech. Math. J. 24(99),(1974), 1-4. [19] Completely decomposable abelian groups any pure subgroup of which is completely decomposable, Czech. Math. J. 24(99),(1974), 176-191. [20](Jambor, Kepka, Němec) Composition of preradicals, Comment. Math. Univ. Carolinae 15(1974), 393-405. [21] Teorie okruhů,(1974), 152 pp. [22] Completely decomposable abelian groups any regular subgroup of which is completely decomposable, Czech. Math. J. 25(100),(1975), 71-75. [23](Jambor, Kepka, Němec) Preradicals and change of rings, Comment. Math. Univ. Carolinae 16(1975), 201-217. [24] Preradicals and injectivity, Pacif. J. Math. 56(1975), 367-372. [25](Kepka, Němec) Torsion theories and homological dimensions, J. Algebra 35(1975), 99-122. [26](Jambor, Kepka, Němec) Stable and costable preradicals, Acta Univ. Carolinae Math. et Phys. 16(1975), 63-69. [27](Kepka) On stable rings, Publ. Math. Debrecen 22(1975), 235-244. 1

2 [28](Jambor, Kepka, Němec) Centrally splitting radicals, Comment. Math. Univ. Carolinae 17(1976), 31-47. [29] Splitting of pure subgroups, Comment. Math. Univ. Carolinae 17(1976), 241-249. [30](Jambor, Kepka, Němec) A note on test modules, Comment. Math. Univ. Carolinae 17(1976), 345-355. [31](Jambor, Kepka, Němec) Hereditary and cohereditary preradicals, Czech. Math. J. 26(101),(1976), 192-206. [32] Factor-splitting abelian groups of finite rank, Comment. Math. Univ. Carolinae 17(1976), 473-480. [33] Corational extensions and pseudo-projective modules, Acta Math. Acad. Sci. Hung. 28(1976), 5-11. [34] The structure of primary modules, Acta Univ. Carolinae Math. et Phys. 17 (1976), 3-12. [35] Kulikov s criterion for modules, J. reine angew. Math. 288(1976), 154-159. [36] General concept of injectivity, Universale Algebren und Theorie der Radikale, Band 1(1976), 37-40. [37](Němec) Určete čísla, Rozhledy mat. fyz. 55(1976-1977), 3-5. [38](Němec) Určete čísla II, Rozhledy mat. fyz. 55(1976-1977), 55-58. [39]Thesplittinglengthofmixedabeliangroupsofrankone,Czech.Math.J.27 (102),(1977), 144-154. [40](Jambor, Kepka, Němec) Generation of preradicals, Czech. Math. J. 27 (102),(1977), 155-166. [41] Algebra I,(1977), 188 pp. [42] O řešení Pellovy rovnice, Rozhledy mat. fyz. 56(1977-1978), 193-198. [43] Zobecněná Pellova rovnice, Rozhledy mat. fyz. 56(1977-1978), 257-261. [44] Splitting in abelian groups, Czech. Math. J. 28(103),(1978), 356-364. [45] Factor-splitting abelian groups of arbitrary rank, Comment. Math. Univ. Carolinae 19(1978), 653-672. [46] A splitting criterion for abelian groups, Comment. Math. Univ. Carolinae 19 (1978), 763-774. [47] Lineární algebra,(1978), 185 pp. [48] Algebra(pro u»itelsk studium), Academia Praha,(2001), 110 pp. [49] O Euklidově algoritmu, Rozhledy mat. fyz. 55(1978-1979), 385-388. [50] Pure subgroups split, Comment. Math. Univ. Carolinae 20(1979), 283-292. [51](Jambor, Kepka, Němec) Pseudoprojective modules, Math. Slovaca 29 (1979), 107-115. [52] Splitting Abelian groups, Symposia Mathematica, Vol.XXIII, Academic Press London and New York(1979), 67-75. [53] Lineární algebra, Matematický seminář SNTL 14, SNTL Praha 1979, 336 pp. [54] Lineární algebra v úlohách,(1979), 303 pp. [55] Algebraické kódování I, Rozhledy mat. fyz. 58(1979-1980), 290-295. [56] Algebraické kódování II, Rozhledy mat. fyz. 58(1979-1980), 337-342. [57] Purely finitely generated abelian groups, Comment. Math. Univ. Carolinae 21(1980), 209-218. [58](Jambor, Kepka, Němec) Prime and coprime modules, Fund. Math. CVII (1980), 33-45. [59]Anoteonthesplittinglengthofafinitedirectsumofmixedabeliangroups of rank one, Comment. Math. Univ. Carolinae 21(1980), 739-747.

[60] O největším společném děliteli v jisté množině komplexních čísel, Rozhledy mat. fyz. 59(1980-1981), 389-393. [61] A note on factor-splitting abelian groups of rank two, Comment. Math. Univ. Carolinae 22(1981), 569-578. [62] A remark on hyperindecomposable groups, Rend. Accad. Naz. Lincei Phys. Math. LXXII(1982), 318-321. [63] Torsionfree abelian groups of finite rank and some aspects of splitting, preprint, University of Padova(1982), 65 pp. [64](Kepka, Němec) Rings, Modules, and Preradicals, Marcel Dekker, Inc., LectureNotesinPureandAppliedMath.75(1982),241pp. [65](Bečvář, Ježek, Kepka, Němec) Seznamujeme se s množinami, SNTL Praha 1982, 176 pp. [66] Rozklad celých komplexních čísel v součin prvočísel, Matematika a fyzika ve škole 12(1982), 289-292. [67] Prvočinitelé v oboru celých komplexních čísel, Matematika a fyzika ve škole 12(1982), 363-367. [68](Kepka) Komutativní algebra I,(1982), 175 pp. [69] Algebra II,(1982), 259 pp. [70](Beran) Vádemekum z obecné algebry,(1982), 357 pp. [71](Kepka,Němec)Úvoddoteoriekonečnýchtělesalineárníchkódů,(1982), 176 pp. [72]Thesplittingofthetensorproductoftwomixedabeliangroupsofrankone, Czech. Math. J. 33(108),(1983), 193-211. [73](Salce) Butler groups of infinite rank, Proceedings Honolulu, Lecture Notes in Mathematics 1006, Springer Verlag, Berlin(1983), 171-189. [74] Factor-splitting length of torsionfree abelian groups of rank two, Rend. Sem. Mat. Univ. Padova 70(1983), 77-88. [75](Jirásko) A general concept of the pseudoprojective module, Czech. Math. J. 34(109),(1984), 64-83. [76] Pure subgroups of Butler groups, Abelian groups and modules, Proceedings of the Udine Conference, Udine April 9-14, 1984, Springer Verlag, Wien-New York 1984, 203-213. [77](Kepka) Komutativní algebra II,(1984), 258 pp. [78](Němec, Trch) Sbírka úloh z algebry pro učitelské studium,(1984), 179 pp. [80](Štěpán) Choquet theorem for compact measures, Statistic and Decisions 3 (1985), 363-377. [81](Salce, Štěpán) A characterization of countable Butler groups, Rend. Sem. Mat. Univ. Padova 74(1985), 51-58. [82](Hurt) Aplikovaná lineární algebra,(1985), 207 pp. [83](Trch) O řešení jednodušších diferenčních rovnic, Rozhledy mat. fyz. 64 (1985-1986), 45-47. [84](Hora) On a class of locally completely decomposable abelian groups, Comment. Math. Univ. Carolinae 27(1986), 307-323. [85](Drápal, Kepka) Cancellative relations and matrices, Acta Univ. Carolinae Math. et Phys. 28(1987), 21-31. [86] On countable Butler groups, Abelian groups theory, Proceedings of the third Conference on Abelian group theory at Oberwolfach, August 11-17, 1985, 3

4 Gordon and Breach Science Publishers, New York, London, Paris, Montreaux, Tokyo 1987, 303-308. [87](Jirásko) Generalized pseudoinjectivity Annali di matematica pura ed applicata(iv), Vol. CLIII(1988), 91-114. [88](Hora) Permutace, cykly, znaménko permutace, Rozhledy mat. fyz. 67 (1988-1989), 224-227. [89](Hora) Hra na patnctku a znaménko permutace, Rozhledy mat. fyz. 67 (1988-1989), 353-356. [90](Rosický) Teorie svazů a univerzální algebra,(1989), 84 pp. [91](Binderová) A note on flat modules, Comment. Math. Univ. Carolinae 31 (1990), 197-200. [92](Salce) Butler modules in torsion theories, Accademia Nazionale delle Scienze detta dei XL, 108(1990), 121-137. [93](Kepka, Němec, Procházka) Algebra, Academia Praha 1990, 560 pp. [94](Torrecillas) A general form of Kulikov s theorem, Comm. in Algebra 19 (1991), 2453-2486. [95] On a class of locally Butler groups, Comment. Math. Univ. Carolinae 32 (1991), 597-600. [96](Torrecillas) On relative Ulm theorem, Rivista Di Matematica Pura ed Applicata 10(1992), 39-66. [97](Torrecillas) QTAG torsionfree modules, Comment. Math. Univ. Carolinae 33(1992), 1-20. [98](Fuchs) On abelian groups by which balanced extensions of a rational group split, J. Pure Appl. Algebra 78(1992), 221-238. [99](Fuchs) Subgroups of Butler groups, Communications in Algebra 22(1994), 1037-1047. [100] Butler groups of infinite rank, Czech. Math. J. 44(119),(1994), 67-79. [101] On B 2 -groups,contemporarymath.171(1994),13-19. [102] (Fuchs) On abelian groups by which balanced extensions of a rational group split. Part II., Czech. Math. J. 44(119),(1994), 649-660. [103] (El Bashir, B. Torrecillas) Kulikov s criterion for a non-hereditary torsion theory Butler groups, Communications in Algebra 23(1995), 1275-1282. [104] Acharacterizationof B 2 -groups,contributionstogeneralalgebra9,verlag Hölder-Pichler-Tempsky, Wien 1995- Verlag B. G. Teubner, Stuttgart, 55-60. [105] Subgroups of Butler groups, Abelian Groups and Modules, A. Facchini and C. Menini(eds.), Mathematics and Its Applications, Kluwer Academic Publishers, vol. 343(1995), 49-57. [106] (K.M. Rangaswamy)Aresulton B 1 -groups, Rend. Sem. Mat. Univ. Padova 94(1995), 95-98. [107] Butler groups and Shelah s Singular Compactness, Comment. Math. Univ. Carolinae, 37(1996), 171-178. [108] Families of preseparative subgroups, Abelian groups and modules, Lecture Notes in Pure and Applied Mathematics vol. 182(1996), Marcel Dekker, Inc., 149-162. [109] (ElBashir)Remarkson B 2 -groups,abeliangroupsandmodules,lecture Notes in Pure and Applied Mathematics vol. 182(1996), Marcel Dekker, Inc., 133-142. [110] (K.M.Rangaswamy)PB -subgroupsofbutlergroups,israelj.math. 95 (1996), 375-391.

[111] Infinite rank Butler groups, Advances in Algebra and Model Theory, Proceedings Essen Conference 1994, Gordon and Breach Philadelphia(1997), 287-317. [112] (El Bashir) A version of Kulikov s criterion, Italian Journal of pure and applied mathematics 1(1997), 29-41 [113] (K.M. Rangaswamy) Smooth unions of Butler groups, Forum Math. 10 (1998), 233-247. [114] Weak Krull-Schmidt theorem, Comment. Math. Univ. Carolinae 39,4(1998), 633-643. [115] Almost precovers, Mundus symbolicus VŠE 6(125)(1998), 5-7. [116] A note on pure subgroups, Contributions to general algebra 12, Proceedings of the Vienna Conference, June 3-6, 1999, Verlag Johannes Heyn, Klagenfurt 2000, 105-107. [117] (Slavík) Matematika III pro PEF,(1999), 124+iv pp., ČZU a NAROMA s.r.o. [118] Almost Butler groups, Czech. Math. J. 50(125)(2000), 367-378. [119] (K.M. Rangaswamy, Ch. Vinsonhaler) Butler groups as smooth ascending unions, Comm. in Algebra 28, No 11(2000), 5039-5045. [120] Linern algebra a geometrie, Academia Praha,(2000), 197 pp. [121] Algebra(pro u»itelsk studium), Academia Praha,(2001), 110 pp. [122] (B. Torrecillas) On covers, J. Algebra 236(2001), 645-650. [123] (R. El Bashir, E. Enochs) All modules have flat covers, Proc. London Math. Society 33(2001), 385-390. [124] Pure subgroups, Math. Bohemica, 126(2001), 649-652. [125] (B. Torrecillas) Relative exact covers, Comment. Math. Univ. Carolinae 42,(2001), 601-607. [126] (B. Torrecillas) Almost precovers, Comm. in Algebra 30, No 1(2002), 477-487. [127] (B. Torrecillas) On the existence of relative injective covers Acta Math. Hungar. 95(2002), 179-186. [128] (B. Torrecillas) Precovers, Czech. Math. J., 53(128),(2003), 191-203. [129] Precovers and Goldie s torsion theory, Math. Bohemica 128(2003), 395-400. [130] Relative exact modules, Comment. Math. Univ. Carolinae 44,(2003), 569-574. [131] Torsionfree precovers, Contributions to general algebra 15, Proceedings of the Klagenfurt Conference 2003(AAA 66), Verlag Johannes Heyn, Klagenfurt 2004, 1-6. [132] Onprecoverclasses,Ann. Univ. Ferrara-Sez. VII-Sc. Mat. Vol. LI, (2005), 61-67. [133] Non-singular covers over ordered monoid rings Math. Bohemica 131,(2006), 95-104. [134] On injective hulls, Contributions to general algebra 17, Proceedings of the Vienna Conference 2005(AAA 70), Verlag Johannes Heyn, Klagenfurt 2006, 25-29. [135] Non-singular precovers over polynomial rings, Comment. Math. Univ. Carolinae 47,(2006), 369-377. [136] Relative purity over Noetherian rings, Mathematica Slovaca 57,(2007), No. 4, 333-338. [137] Non-singular covers over monoid rings, Math. Bohemica 133(2008), 9-17. 5

6 [138] On torsionfree classes which are not precover classes, Czech. Math. J., 58 (133),(2008), 561-568. [139] The lattice of torsionfree precover classes, Models, Modules and Abelian Groups, de Gruyter 2008, 415-419. TO APPEAR [1] Some properties of precovers and covers(16/05/07 Almer.) [2] Lattice properties of torsion theories(30/10/08 Asian-European Journal of Mathematics(AEJM))