Štefan Schwarz (1914–1996)

Riečan, Beloslav

Czechoslovak Mathematical Journal, Tome 47 (1997) no. 2, pp. 375-382

Détail

Classification : 01A70

Bibliographie

[1] On the reducibility of polynomials over an algebraic number field modulo of a prime ideal. Časopis pěst. mat. fyz. 68 (1939), 112–127. (German)

[2] A contribution to the reducibility of a polynomial in the theory of congruences. Věstník Král. české spol. nauk 7 (1939), 1–9. (French)

[3] On the number of roots and irreducible factors of polynomials over a finite field. Časopis pěst. mat. fyz. 69 (1949), 128–146. (French)

[4] On a theorem of S. Lubelski. Časopis pěst. mat. fyz. 69 (1940), 147–150. (German)

[5] A contribution to the arithmetic of finite fields. Prírodovedecká príloha Technického obzoru slovenského I (1940), 75–82. (Slovak)

[6] A contribution to the theory of congruences. Prírodovedecká príloha Technického obzoru slovenského II (1941), 89–92, 95–100. (Slovak)

[7] A contribution to the theory of Galois‘s fields. Prírodovedecká príloha Technického obzoru slovenského III (1942), 1–4. (Slovak)

[8] Theory of semigroups. Sborník prác Prírodovedeckej fakulty Slovenskej univerzity VI, Bratislava, 1943, pp. 64. (Slovak)

[9] A hyperkomplex proof of the Jordan-Kronecker’s Principle of reduction. Časopis pěst. mat. fys. 71 (1946), 17–21. | MR

[10] A contribution to the reducibility of binomial congruences. Časopis pěst. mat. fys. 71 (1946), 21–32. (Czech)

[11] On the extension of the Jordan-Kronecker’s Principle of reduction for inseparable polynomials. Časopis pěst. mat. fys. 73 (1947), 61–64. | MR | Zbl

[12] On Waring’s Problem for finite fields. Quart. J. Math., Oxford Ser. 19 (1948), 123–128. | MR | Zbl

[13] On generalization of Jordan-Kronecker’s Principle of reduction. Věstník Král. české spol. nauk 2 (1948), 1–29. | MR

[14] On the equation $a_{1}x_{1}^{k}+a_{2}x_{2}^{k}\ldots +a_{k}x_{k}^{k}+b\,=\,0$ in finite fields. Quart. J. Math., Oxford Ser. 19 (1948), 160–164. | MR

[15] A contribution to the theory of cyclic fields. Sborník prác SVŠT, Bratislava, 1948, pp. 7. (Slovak)

[16] On the reducibility of binomial congruences and the least bound of an integer belonging to a given exponent (mod $p$). Časopis pěst. mat. fys. 74 (1949), 1–17.

[17] On universal forms in finite fields. Časopis pěst. mat. fys. 75 (1950), 45–50. | MR | Zbl

[18] On the generalization of the notion of a group. Časopis pěst. mat. fys. 74 (1949), 95–113. (Slovak)

[19] On equations of the form $ c_{1}x_{1}^{k_1}+c_{2}x_{2}^{k_2}+\ldots +c_{s}x_{s}^{k_s}\,=\,c$ in finite fields. Časopis pěst. mat. fys. 74 (1949), 175–176. (Slovak)

[20] On the structure of finite semigroups without zeros. Czechoslovak Math. J. 1 (76) (1951), 51–65. (Russian)

[21] On the structure of simple semigroups without zero. Czechoslovak Math. J. 1 (76) (1951), 41–53. | MR | Zbl

[22] On semigroups having a kernel. Czechoslovak Math. J. 1 (76) (1951), 259–301. (Russian) | MR

[23] On semigroups having a kernel. Czechoslovak Math. J. 1 (76) (1951), 229–264. | MR

[24] On the theory of periodic semigroups. Czechoslovak Math. J. 3 (78) (1953), 7–21. (Russian)

[25] On maximal ideals in the theory of semigroups I. Czechoslovak Math. J. 3 (78) (1953), 139–153. (Russian) | MR

[26] Maximal ideals and the structure of semigroups. Mat.-fyz. čas. Slovenskej akad. vied 3 (1953), 17–39. (Slovak) | MR

[27] On maximal ideals in the theory of semigroups II. Czechoslovak Math. J. 3 (78) (1953), 365–383. (Russian) | MR

[28] The theory of characters of commutative semigroups. Czechoslovak Math. J. 4 (79) (1954), 219–247. (Russian) | MR | Zbl

[29] Characters of commutative semigroups as class funcions. Czechoslovak Math. J. 4 (79) (1954), 291–295. (Russian) | MR

[30] On a Galois conection in the theory of characters of semigroups. Czechoslovak Math. J. 4 (79) (1954), 296–313. (Russian) | MR

[31] Characters of commutative semigroups. Proceedings of the International Congress of Mathematicians 1954, Vol. 1, Amsterdam, 1957, pp. 438.

[32] On Hausdorff bicompact semigroups. Czechoslovak Math. J. 5 (80) (1955), 1–23. (Russian) | MR | Zbl

[33] Topological semigroups with one-sided units. Czechoslovak Math. J. 5 (80) (1955), 153–163. (Russian) | MR | Zbl

[34] Characters of bicompact semigroups. Czechoslovak Math. J. 5 (80) (1955), 24–28. (Russian) | MR

[35] A remark to the theory of bicompact semigroups. Mat.-fyz. čas. Slovenskej akad. vied 5 (1955), 86–89. (Slovak) | MR

[36] On magnifying elements in the theory of semigroups. Doklady Akad. Nauk SSSR 102 (1955), no. 4, 697–698. (Russian) | MR

[37] On a type of universal forms in discretely valued fields. Acta Sci. Math. (Szeged) XVII (1956), no. 1–2, 5–29. | MR | Zbl

[38] The theory of characters of commutative Hausdorff bicompact semigroups. Czechoslovak Math. J. 6 (81) (1956), 330–364. | MR

[39] Once more on quadratic polynomials with prime values. Časopis pěst. mat. 81 (1956), 241–243 (with Ján Mařík). (Czech)

[40] On the reducibility of polynomials over a finite field. Quart J. Math., Oxford Ser. 7 (1956), 110–124. | DOI | MR | Zbl

[41] Semigroups satisfying some weakened forms of the cancellation laws. Mat.–fyz. čas. Slovenskej akad. vied 6 (1956), 149–158. (Slovak) | MR

[42] On the existence of invariant measures on certain types of bicompact semigroups. Czechoslovak Math. J. 7 (82) (1957), 165–182. (Russian) | MR

[43] On the structure of the semigroup of measures on finite semigroups. Czechoslovak Math. J. 7 (82) (1957), 358–373. | MR

[44] An elementary semigroup theorem and congruence relation of Rédei. Acta Sci. Math. (Szeged) XIX (1958), no. 1–2, 1–4.

[45] On the multiplicative semigroup of conguence classes (mod $m$). Mat.–fyz. čas. Slovenskej akad. vied 8 (1958), 136–150 (with Bohumír Parízek). (Slovak) | MR

[46] Remarks on compact semigroups. Colloq. Math. (Wroclaw) VI (1958), 265–270 (with Jan Los). | MR | Zbl

[47] On totally noncommutative semigroups. Mat.-fyz. čas. Slovenskej akad. vied 9 (1959), 92–100 (with Dorota Krajňáková). (Russian) | MR

[48] On dual semigroups. Czechoslovak Math. J. 10 (85) (1960), 201–230. | MR | Zbl

[49] A theorem on normal semigroups. Czechoslovak Math. J. 10 (85) (1960), 197–200. | MR | Zbl

[50] Semigroups, in which every proper subideal is a group. Acta Sci. Math. (Szeged) XXI (1960), no. 3–4, 125–134. | MR | Zbl

[51] On a class of polynomials over a finite field. Mat.-fyz. čas. Slovenskej akad. vied 10 (1960), 68–80. (Russian) | MR | Zbl

[52] On the number of irreducible factors of a polynomial over a finite field. Czechoslovak Math. J. 11 (86) (1961), 213–225. (Russian) | MR | Zbl

[53] Semicharacters of the multiplicative semigroup of integers modulo $m$. Mat.-fyz. čas. Slovenskej akad. vied 11 (1961), 63–74 (with Bohumír Parízek). | MR

[54] Subsemigroups of simple semigroups. Czechoslovak Math. J. 13 (88) (1963), 226–239. | MR | Zbl

[55] Probabilities on non-commutative semigroups. Czechoslovak Math. J. 13 (88) (1963), 372–426. | MR | Zbl

[56] Probability measures on non-commutative semigroups. General Topology and its Relations to Modern Analysis and Algebra, Proceedings of the Symposium held in Prague in September 1961, pp. 312–315. | Zbl

[57] Cyclic matrices and algebraic equations over a finite field. Mat.-fyz. čas. Slovenskej akad. vied 12 (1962), 38–48 (with Kornélia Horáková). (Russian) | MR | Zbl

[58] A remark on algebraic equations over a finite field. Mat.-fyz. čas. Slovenskej akad. vied 12 (1962), 224–229. (Russian) | MR

[59] Convolution semigroup of measures on compact non-commutative semigroups. Czechoslovak Math. J. 14 (89) (1964), 95–115. | MR

[60] Product decomposition of idempotent measures on compact semigroups. Czechoslovak Math. J. 14 (89) (1964), 121–124. | MR | Zbl

[61] Homomorphisms of completely simple semigroups onto a group. Mat.-fyz. čas. Slovenskej akad.vied 12 (1962), 293–300. | MR

[62] On a system of congruences. A remark on the preceding paper of J.Sedláček. Mat.-fyz. čas. Slovenskej akad. vied 13 (1963), 103–104. (Slovak) | MR

[63] A semigroup treatment of some theorems on non-negative matrices. Czechoslovak Math. J. 15 (90) (1965), 212–229. | MR | Zbl

[64] On the structure of the semigroup of stochastic matrices. Publ. of the Math. Inst. Hungarian Acad. Vol. IX, Series A, Fasc. 3 (1965), 297–311. | MR

[65] On powers of non-negative matrices. Mat.-fyz. časopis Slovenskej akad. vied 15 (1965), 215–228. | MR | Zbl

[66] A remark to the theory of non-negative matrices. Sibir. Math. J. 6 (1965), 207–211. (Russian) | MR

[67] A new approach to some problems in the theory of non-negative matrices. Czechoslovak Math. J. 16 (91) (1966), 274–284. | MR | Zbl

[68] New kinds of theorems on non-negative matrices. Czechoslovak Math. J. 16 (91) (1966), 285–295. | MR

[69] Some estimates in the theory of non-negative matrices. Czechoslovak Math. J. 17 (92) (1967), 399–407. | MR | Zbl

[70] A note on the structure of the semigroup of doubly-stochastic matrices. Mat. čas. 17 (1967), 308–316. | MR | Zbl

[71] On the index of imprimitivity of a non-negative matrix. Acta Sci. Math. (Szeged) 28 (1967), 185–189. | MR | Zbl

[72] Algebraic considerations on powers of stochastic matrices. Mat. čas. 18 (1968), 218–228. | MR | Zbl

[73] Prime ideals and maximal ideals in semigroups. Czechoslovak Math. J. 19 (94) (1969), 72–79. | MR | Zbl

[74] On the semigroup of binary relations on a finite set. Czechoslovak Math. J. 20 (95) (1970), 632–679. | MR | Zbl

[75] On a sharp estimate in the theory of binary relations on a finite set. Czechoslovak Math. J. 20 (95) (1970), 703–714. | MR

[76] On idempotent relations on a finite set. Czechoslovak Math. J. 20 (95) (1970), 696–702. | MR

[77] Any $0$-simple dual semigroup is completely $0$-simple. Semigroup Forum 2 (1971), 90–92. | DOI | MR

[78] On the structure of dual semigroups. Czechoslovak Math. J. 21 (96) (1971), 461–483. | MR | Zbl

[79] The semigroup of fully indecomposable relations and Hall relations. Czechoslovak Math. J. 23 (98) (1973), 151–163. | MR | Zbl

[80] A note on small categories with zero. Acta Sci. Math. (Szeged) 35 (1973), 161–164. | MR | Zbl

[81] Summs of powers of binary relations. Mat. čas. 24 (1974), 161–171. (Russian) | MR

[82] Circulant Boolean relation matrices. Czechoslovak Math. J. 24 (99) (1974), 252–253. | MR | Zbl

[83] The ideal structure of $C$-semigroups. Czechoslovak Math. J. 27 (102) (1977), 313–338. | MR | Zbl

[84] The semigroup of circulant Boolean matrices. Czechoslovak Math. J. 26 (101) (1976), 632–635 (with Kim H. Butler). | MR | Zbl

[85] A counting theorem in the semigroup of circulant Booleant matrices. Czechoslovak Math. J. 27 (102) (1977), 504–510. | MR

[86] Semigroups containing maximal ideals. Math. Slovaca 28 (1978), 157–168. | MR | Zbl

[87] Intersections of maximal ideals in semigroups. Semigroup Forum 12 (1976), 367–372. | DOI | MR | Zbl

[88] A theorem on binary relations and infinite regular languages. Semigroup Forum 17 (1979), 307–316. | DOI | MR | Zbl

[89] The Euler-Fermat Theorem for the semigroup of circulant Boolean matrices. Czechoslovak Math. J. 30 (105) (1980), 135–141. | MR | Zbl

[90] Infinite products on doubly stochastic matrices. Acta Math. Univ. Comenian. 39 (1980), 131–150. | MR

[91] The role of semigroups in the elementary theory of numbers. Math. Slovaca 31 (1981), 369–395. | MR | Zbl

[92] An unconventional problem in the elementary theory of numbers. Czechoslovak Math. J. 31 (106) (1981), 159–169. | MR | Zbl

[93] Extensions of Bauer’s identical congruences. Math. Slovaca 33 (1983), 209–224. | MR | Zbl

[94] Common consequents in directed graphs. Czechoslovak Math. J. 35 (110) (1985), 212–247. | MR | Zbl

[95] Fermat’s Theorem for matrices revisited. Math. Slovaca 35 (1985), 343–347. | MR | Zbl

[96] Right compositions of semigroups. Math. Slovaca 36 (1988), 3–14. | MR

[97] A combinatorial problem arising in finite Markov chains. Math. Slovaca 36 (1986), 199–210. | MR | Zbl

[98] Semigroups with a universally minimal left ideal. Acta Sci. Math. (Szeged) 52 (1988), 21–28. | Zbl

[99] Construction of normal bases in cyclic extensions of a field. Czechoslovak Math. J. 38 (113) (1988), 291–312. | MR | Zbl

[100] Irreducible polynomials over finite field with linearly independent roots. Math. Slovaca 38 (1988), 147–158. | MR

[101] Powers of subsets of finite semigroups. Semigroup Forum 51 (1995), 1–22. | DOI | MR

[102] Universal formulae of Euler-Fermat type for subsets of $Z_m$. Collect. Math. 46 (1995), no. 1–2, 183–193. | MR

[103] An explicit description of the set of all normal bases generators of a finite fields. Submitted to Czech. Math. J., pp. 13 (with Karol Nemoga).

[104] On equations. 1st ed., Prague, 1940, pp. 96. (Czech)

[105] On equations. 3rd ed., Prague, 1947, pp. 160. (Czech)

[106] Algebraic numbers. Přírodovědecké nakl., Prague, 1950, pp. 292. (Slovak) | Zbl

[107] The theory of solutions of equations. Nakl. ČSAV, Prague, 1958, pp. 348. (Slovak)

[108] The theory of solutions of equations. Vydavateľstvo SAV, 1st ed., Bratislava, 1967, pp. 440.