Edit Profile (opens in new tab) Ligh, Steve Co-Author Distance Author ID: ligh.steve Published as: Ligh, Steve; Ligh, S. Documents Indexed: 54 Publications since 1968 Reviewing Activity: 2 Reviews Co-Authors: 16 Co-Authors with 29 Joint Publications 97 Co-Co-Authors all top 5 Co-Authors 25 single-authored 5 Beslin, Scott J. 5 Bourque, Keith 3 Jones, Patricia 2 Bell, Howard Edwin 2 Garcia, P. G. 2 Jones, Pat 2 Luh, Jiang 2 Utumi, Yuzo 1 Heatherly, Henry E. 1 Malone, J. J. jun. 1 McQuarrie, Bruce 1 Neal, Larry 1 Ramakotaiah, D. 1 Richoux, Anthony N. 1 Slotterbeck, Oberta A. 1 Wall, Charles R. all top 5 Serials 6 Bulletin of the Australian Mathematical Society 5 Monatshefte für Mathematik 4 The Fibonacci Quarterly 4 Mathematica Japonica 3 Journal of the London Mathematical Society. Second Series 3 Kyungpook Mathematical Journal 3 Linear Algebra and its Applications 3 Journal of the Australian Mathematical Society 2 Semigroup Forum 2 Bulletin of Number Theory and Related Topics 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 American Mathematical Monthly 1 Communications in Algebra 1 Linear and Multilinear Algebra 1 Mathematics Magazine 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Compositio Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Number Theory 1 Mathematical Journal of Okayama University 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publicationes Mathematicae Debrecen 1 Tamkang Journal of Mathematics 1 Journal of the Australian Mathematical Society. Series A 1 Nieuw Archief voor Wiskunde. Derde Serie 1 Proceedings of the Japan Academy 1 all top 5 Fields 29 Associative rings and algebras (16-XX) 16 Number theory (11-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Group theory and generalizations (20-XX) 6 Field theory and polynomials (12-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 45 Publications have been cited 396 times in 172 Documents Cited by ▼ Year ▼ Matrices associated with classes of arithmetical functions. Zbl 0784.11002Bourque, Keith; Ligh, Steve 52 1993 On GCD and LCM matrices. Zbl 0761.15013Bourque, Keith; Ligh, Steve 49 1992 Matrices associated with arithmetical functions. Zbl 0815.15022Bourque, Keith; Ligh, Steve 49 1993 Greatest common divisor matrices. Zbl 0672.15005Beslin, Scott; Ligh, Steve 44 1989 Matrices associated with multiplicative functions. Zbl 0826.15013Bourque, Keith; Ligh, Steve 38 1995 Another generalization of Smith’s determinant. Zbl 0675.10002Beslin, Scott; Ligh, Steve 37 1989 On division near-rings. Zbl 0191.02903Ligh, S. 10 1969 On the additive groups of finite near integral domains and simple d. g. near rings. Zbl 0247.16017Ligh, Steve 9 1972 GCD-closed sets and the determinants of GCD matrices. Zbl 0752.11012Beslin, Scott; Ligh, Steve 8 1992 A note on Mersenne numbers. Zbl 0292.10013Ligh, Steve; Neal, Larry 8 1974 Zero divisors and finite near-rings. Zbl 0201.03602Ligh, S.; Malone, J. J. jun. 7 1970 On distributively generated near-rings. Zbl 0175.02602Ligh, S. 6 1969 On boolean near-rings. Zbl 0176.30702Ligh, S. 6 1969 A commutativity theorem for rings. Zbl 0335.16034Ligh, Steve; Richoux, Anthony 5 1977 Near rings with identities on certain groups. Zbl 0212.05401Ligh, S. 5 1971 A generalization of Euler’s Phi-function. Zbl 0503.10004Garcia, P. G.; Ligh, Steve 5 1983 On a class of semigroups admitting ring structure. Zbl 0348.20047Ligh, Steve 4 1976 The structure of a special class of near-rings. Zbl 0228.16018Ligh, Steve 4 1972 A generalization of a theorem of Wedderburn. Zbl 0254.16020Ligh, Steve 4 1973 D. G. near rings on certain groups. Zbl 0231.16019Ligh, Steve 3 1971 Centro-symmetric matrices. Zbl 0303.15014Ligh, Steve 3 1973 A note on matrix near rings. Zbl 0312.16028Ligh, Steve 3 1975 Some decomposition theorems for periodic rings and near-rings. Zbl 0696.16029Bell, Howard E.; Ligh, Steve 3 1989 Some generalizations of strongly regular near rings. Zbl 0358.16023Ligh, Steve; Utumi, Yuzo 3 1976 Some commutativity theorems for rings and near rings. Zbl 0349.16014Ligh, S.; Luh, J. 2 1976 Near-rings with descending chain condition. Zbl 0179.05502Ligh, S. 2 1969 On regular near rings. Zbl 0209.33501Ligh, S. 2 1970 On the commutativity of near rings. II. Zbl 0228.16016Ligh, Steve 2 1971 On near fields. Zbl 0237.16027Ligh, Steve; McQuarrie, Bruce; Slotterbeck, Oberta 2 1972 Pseudo-distributive near-rings. Zbl 0295.16015Heatherly, Henry E.; Ligh, Steve 2 1975 Direct sum of strongly regular rings and zero rings. Zbl 0298.16014Ligh, Steve; Utumi, Yuzo 2 1974 A special class of near rings. Zbl 0298.16027Ligh, Steve 2 1974 Direct sum of J-rings and zero rings. Zbl 0671.16015Ligh, Steve; Luh, Jiang 2 1989 Quasi ring-semigroups. Zbl 0402.20051Jones, Patricia; Ligh, Steve 2 1979 Finite hereditary near-field groups. Zbl 0354.16015Ligh, Steve 1 1978 A note on the splitting problem of mixed abelian groups. Zbl 0167.29601Ligh, S. 1 1968 A generalization of a theorem of Zassenhaus. Zbl 0185.08504Ligh, S. 1 1969 On the commutativity of near rings. Zbl 0211.35502Ligh, S. 1 1970 On the commutativity of near-rings. III. Zbl 0228.16017Ligh, Steve 1 1972 The structure of certain classes of rings and near rings. Zbl 0318.16016Ligh, Steve 1 1975 Functions of non-unitary divisors. Zbl 0625.10004Ligh, Steve; Wall, Charles R. 1 1987 A generalization of Euler’s \(\phi\)-function. II. Zbl 0576.10003Ligh, Steve; Garcia, P. G. 1 1985 Finite rings with central nilpotent elements. Zbl 0595.16010Ligh, Steve 1 1985 A note on semigroups in rings. Zbl 0385.20037Ligh, Steve 1 1977 Finite hereditary near-ring semigroups. Zbl 0398.20081Jones, Patricia; Ligh, Steve 1 1980 Matrices associated with multiplicative functions. Zbl 0826.15013Bourque, Keith; Ligh, Steve 38 1995 Matrices associated with classes of arithmetical functions. Zbl 0784.11002Bourque, Keith; Ligh, Steve 52 1993 Matrices associated with arithmetical functions. Zbl 0815.15022Bourque, Keith; Ligh, Steve 49 1993 On GCD and LCM matrices. Zbl 0761.15013Bourque, Keith; Ligh, Steve 49 1992 GCD-closed sets and the determinants of GCD matrices. Zbl 0752.11012Beslin, Scott; Ligh, Steve 8 1992 Greatest common divisor matrices. Zbl 0672.15005Beslin, Scott; Ligh, Steve 44 1989 Another generalization of Smith’s determinant. Zbl 0675.10002Beslin, Scott; Ligh, Steve 37 1989 Some decomposition theorems for periodic rings and near-rings. Zbl 0696.16029Bell, Howard E.; Ligh, Steve 3 1989 Direct sum of J-rings and zero rings. Zbl 0671.16015Ligh, Steve; Luh, Jiang 2 1989 Functions of non-unitary divisors. Zbl 0625.10004Ligh, Steve; Wall, Charles R. 1 1987 A generalization of Euler’s \(\phi\)-function. II. Zbl 0576.10003Ligh, Steve; Garcia, P. G. 1 1985 Finite rings with central nilpotent elements. Zbl 0595.16010Ligh, Steve 1 1985 A generalization of Euler’s Phi-function. Zbl 0503.10004Garcia, P. G.; Ligh, Steve 5 1983 Finite hereditary near-ring semigroups. Zbl 0398.20081Jones, Patricia; Ligh, Steve 1 1980 Quasi ring-semigroups. Zbl 0402.20051Jones, Patricia; Ligh, Steve 2 1979 Finite hereditary near-field groups. Zbl 0354.16015Ligh, Steve 1 1978 A commutativity theorem for rings. Zbl 0335.16034Ligh, Steve; Richoux, Anthony 5 1977 A note on semigroups in rings. Zbl 0385.20037Ligh, Steve 1 1977 On a class of semigroups admitting ring structure. Zbl 0348.20047Ligh, Steve 4 1976 Some generalizations of strongly regular near rings. Zbl 0358.16023Ligh, Steve; Utumi, Yuzo 3 1976 Some commutativity theorems for rings and near rings. Zbl 0349.16014Ligh, S.; Luh, J. 2 1976 A note on matrix near rings. Zbl 0312.16028Ligh, Steve 3 1975 Pseudo-distributive near-rings. Zbl 0295.16015Heatherly, Henry E.; Ligh, Steve 2 1975 The structure of certain classes of rings and near rings. Zbl 0318.16016Ligh, Steve 1 1975 A note on Mersenne numbers. Zbl 0292.10013Ligh, Steve; Neal, Larry 8 1974 Direct sum of strongly regular rings and zero rings. Zbl 0298.16014Ligh, Steve; Utumi, Yuzo 2 1974 A special class of near rings. Zbl 0298.16027Ligh, Steve 2 1974 A generalization of a theorem of Wedderburn. Zbl 0254.16020Ligh, Steve 4 1973 Centro-symmetric matrices. Zbl 0303.15014Ligh, Steve 3 1973 On the additive groups of finite near integral domains and simple d. g. near rings. Zbl 0247.16017Ligh, Steve 9 1972 The structure of a special class of near-rings. Zbl 0228.16018Ligh, Steve 4 1972 On near fields. Zbl 0237.16027Ligh, Steve; McQuarrie, Bruce; Slotterbeck, Oberta 2 1972 On the commutativity of near-rings. III. Zbl 0228.16017Ligh, Steve 1 1972 Near rings with identities on certain groups. Zbl 0212.05401Ligh, S. 5 1971 D. G. near rings on certain groups. Zbl 0231.16019Ligh, Steve 3 1971 On the commutativity of near rings. II. Zbl 0228.16016Ligh, Steve 2 1971 Zero divisors and finite near-rings. Zbl 0201.03602Ligh, S.; Malone, J. J. jun. 7 1970 On regular near rings. Zbl 0209.33501Ligh, S. 2 1970 On the commutativity of near rings. Zbl 0211.35502Ligh, S. 1 1970 On division near-rings. Zbl 0191.02903Ligh, S. 10 1969 On distributively generated near-rings. Zbl 0175.02602Ligh, S. 6 1969 On boolean near-rings. Zbl 0176.30702Ligh, S. 6 1969 Near-rings with descending chain condition. Zbl 0179.05502Ligh, S. 2 1969 A generalization of a theorem of Zassenhaus. Zbl 0185.08504Ligh, S. 1 1969 A note on the splitting problem of mixed abelian groups. Zbl 0167.29601Ligh, S. 1 1968 all cited Publications top 5 cited Publications all top 5 Cited by 144 Authors 26 Hong, Shaofang 21 Haukkanen, Pentti 17 Ligh, Steve 7 Li, Mao 7 Tan, Qianrong 6 Altinisik, Ercan 6 Heatherly, Henry E. 6 Lin, Zongbing 6 Mattila, Mika 6 Zhao, Jianrong 5 Hu, Shuangnian 5 Ilmonen, Pauliina 5 Korkee, Ismo 4 Birkenmeier, Gary Francis 3 Bell, Howard Edwin 3 Bourque, Keith 3 Chen, Long 3 Oman, Greg G. 3 Sillanpää, Juha 3 Zhu, Guangyan 2 Al-Shaalan, Khalid H. 2 Ashraf, Mohammad 2 Beslin, Scott J. 2 Hilberdink, Titus W. 2 Hong, Siao 2 Jones, Patricia 2 Kaarnioja, Vesa 2 Kedukodi, Babushri Srinivas 2 Kuncham, Syam Prasad 2 Lee, Enoch K. S. 2 Li, Zhongshan 2 Luh, Jiang 2 Mäntysalo, Jori 2 Merikoski, Jorma Kaarlo 2 Murty, C. V. L. N. 2 Olivier, Horace 2 Raévs’ka, Maryna Yuriïvna 2 Shum, Kar-Ping 2 Sun, Qi 2 Szeto, George 2 Tărnăuceanu, Marius 2 Tharmaratnam, Veluppillai 2 Tuglu, Naim 2 Wang, Bangyan 2 Weaver, James R. 1 Adams, William B. 1 Aishwarya, S. 1 Aistleitner, Christoph 1 Alqarni, Alwah Saleh Ahmad 1 Andrunakievich, Vladimir Aleksandrovich 1 Arnautov, Vladimir Ivanovich 1 Awad, Y. A. 1 Bhat, B. V. Rajarama 1 Büyükköse, Şerife 1 Cao, Wei 1 Chandy, A. J. 1 Chiba, Katsuo 1 Chung, Lung Ock 1 Cristea, Irina 1 Davvaz, Bijan 1 De Filippis, Vincenzo 1 Demirbüken, Murat 1 Diao, Tianbo 1 Enoch Lee, K. S. 1 Farag, Mark 1 Feigelstock, Shalom 1 Feng, Weiduan 1 Feng, Yulu 1 G., Manikandan 1 Gashkov, Sergey B. 1 Gatephan, Peeraphat 1 Giudici, Michael 1 Goyal, Ankit Kumar 1 Goyan, I. M. 1 Guillot, Dominique 1 Henriksen, Melvin 1 Ibrahim, Mohammed Ali Faya 1 İpek, Ahmet 1 Jabuka, Stanislav 1 Jančic-Rašović, Sanja 1 Johnson, Marjory J. 1 Kamal, Ahmed A. M. 1 Kelly, Shane P. 1 Krimmel, John E. 1 Laohakosol, Vichian 1 Larchner, Gerhard 1 Levy, Dan 1 Lewko, Mark 1 Lian, Dongyan 1 Liao, Qunying 1 Liu, Jing 1 Loewy, Raphael 1 Lu, Jingya 1 Luo, Miao 1 Luque, Jean-Gabriel 1 Magill, Kenneth D. jun. 1 Mason, Gordon 1 Mayr, Peter 1 Mghames, Ragheb 1 Mishina, Anna Petrovna ...and 44 more Authors all top 5 Cited in 54 Serials 29 Linear Algebra and its Applications 20 Linear and Multilinear Algebra 16 Monatshefte für Mathematik 7 Bulletin of the Australian Mathematical Society 7 Asian-European Journal of Mathematics 6 Semigroup Forum 5 Discrete Mathematics 5 Journal of Algebra 5 Proceedings of the Edinburgh Mathematical Society. Series II 4 Czechoslovak Mathematical Journal 4 Journal of Combinatorial Theory. Series A 3 Applied Mathematics and Computation 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 Indian Journal of Pure & Applied Mathematics 2 Periodica Mathematica Hungarica 2 Ukrainian Mathematical Journal 2 Algebra Universalis 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Soviet Mathematics 2 Results in Mathematics 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Algebra Colloquium 2 Filomat 2 The Ramanujan Journal 2 Journal of the Australian Mathematical Society 2 JP Journal of Algebra, Number Theory and Applications 2 International Journal of Number Theory 2 Proceedings of the Japan Academy 2 AIMS Mathematics 1 Communications in Algebra 1 Computers & Mathematics with Applications 1 Israel Journal of Mathematics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Collectanea Mathematica 1 Compositio Mathematica 1 Glasgow Mathematical Journal 1 Journal of Number Theory 1 Mathematica Slovaca 1 Proceedings of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Topology and its Applications 1 Acta Mathematica Hungarica 1 Journal of Applied Non-Classical Logics 1 St. Petersburg Mathematical Journal 1 Journal of Inequalities and Applications 1 Journal of Group Theory 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Acta Mathematica Sinica. English Series 1 Trudy Instituta Matematiki 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Algebra and Discrete Mathematics 1 Arabian Journal of Mathematics 1 Open Mathematics all top 5 Cited in 16 Fields 91 Number theory (11-XX) 87 Linear and multilinear algebra; matrix theory (15-XX) 61 Associative rings and algebras (16-XX) 19 Group theory and generalizations (20-XX) 14 Order, lattices, ordered algebraic structures (06-XX) 5 Field theory and polynomials (12-XX) 4 Combinatorics (05-XX) 3 Commutative algebra (13-XX) 2 Numerical analysis (65-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year