Algebraic Aspects of Generalized Parikh Matrices on Partial Words

被引:0
|
作者
Janaki, K. [1 ]
Kumari, R. Krishna [2 ]
Marichamy, S. [3 ]
Felixia, S. [4 ]
Arulprakasam, R. [5 ]
机构
[1] the Department of Mathematics, Saveetha Engineering College, Saveetha Nagar, Thandalam, Tamilnadu, Chennai,602105, India
[2] the Department of Career Development Centre, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Tamilnadu, Chennai,603203, India
[3] the Department of Mathematics, Chennai Institute of Technology, Kundrathur, Tamilnadu, Chennai,600069, India
[4] the Department of Mathematics, Panimalar Engineering College, Poonamallee, Tamilnadu, Chennai,600123, India
[5] the Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Tamilnadu, Chennai,603203, India
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we extend the concept of a generalized Parikh vector of the partial word known as e−generalized Parikh vector, and its related properties are studied. We also introduce the e−generalized Parikh matrix of the partial word and provide its characterization theorem. Further, we discuss the algebraic properties of partial words in terms of e−generalized Parikh matrix. In addition, we define partial line languages and confer their properties concerning e−generalized Parikh vector of partial words. © (2024), (International Association of Engineers). All Rights Reserved.
引用
收藏
页码:232 / 242
相关论文
共 50 条
  • [41] Parikh matrices and M-ambiguity sequence
    Poovanandran, Ghajendran
    Teh, Wen Chean
    3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND STATISTICS, 2018, 1132
  • [42] Freeness Problem for Matrix Semigroups of Parikh Matrices
    Teh, Wen Chean
    Atanasiu, Adrian
    Wong, Denis C. K.
    FUNDAMENTA INFORMATICAE, 2021, 179 (04) : 385 - 397
  • [43] Combinatorial aspects of generalized complementary basic matrices
    Fiedler, Miroslav
    Hall, Frank J.
    CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2013, 11 (12): : 2186 - 2196
  • [44] Parikh Matrices and Strong M-Equivalence
    Teh, Wen Chean
    INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE, 2016, 27 (05) : 545 - 556
  • [45] SUBWORD OCCURRENCES, PARIKH MATRICES AND LYNDON IMAGES
    Salomaa, Arto
    Yu, Sheng
    INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE, 2010, 21 (01) : 91 - 111
  • [46] A New Study of Parikh Matrices Restricted to Terms
    Chern, Zi Jing
    Subramanian, K. G.
    Ahmad, Azhana
    Teh, Wen Chean
    INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE, 2020, 31 (05) : 621 - 638
  • [47] Algebraic Decoding of Cyclic Codes Using Partial Syndrome Matrices
    Lee, Chong-Dao
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2018, 64 (02) : 952 - 971
  • [48] The equality problem for Parikh simple algebraic power series
    Honkala, J
    INFORMATION PROCESSING LETTERS, 2002, 84 (02) : 57 - 60
  • [49] On Positive Cone and Partial Order in a Generalized Algebraic System
    Kuncham, S. P.
    Harikrishnan, P. K.
    Tapatee, S.
    Kedukodi, B. S.
    ENGINEERING LETTERS, 2024, 32 (01) : 136 - 142
  • [50] Some characterizations of Parikh matrix equivalent binary words
    Fossé, S
    Richomme, G
    INFORMATION PROCESSING LETTERS, 2004, 92 (02) : 77 - 82