Matrices over semirings

Information Sciences

Volumn 90, Issue 1-4, 1996, Pages 221-230

  Ghosh, Shamik ^a  

^a UNIVERSITY OF CALCUTTA   (India)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL OPERATORS; MATRIX ALGEBRA; NUMERICAL METHODS; VECTORS;

SEMI-INVERTIBILITY; SEMIRING;

ARTIFICIAL INTELLIGENCE;

EID: 0030130109     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/0020-0255(95)00283-9     Document Type: Article

References (10)

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2. Le Roy B. Beasley and N. J. Pullman, Linear operators strongly preserving idempotent matrices over semirings. Lin. Alg. Appl. 160:217-229 (1992).
3. S. Bourne, The Jacobson radical of a semiring, Proc. Nat. Acad. Sci. U.S.A. 37:163-170 (1951).
4. R. A. Cunninghame-Green, The characteristic maxpolynomial of a matrix, J. Math. Anal. Appl. 95:110-116 (1983).
5. J. S. Golan, The Theory of Semirings with Applications in Mathematics and Theoretical Computer Science, Longman Scientific and Technical, U.K., 1992.
6. P. H. Karvellas, Inversive semirings, J. Austral. Math. Soc. 18(3):277-288 (1974).
7. D. R. La Torre, On h-ideals and k-ideals in hemirings. Publ. Math Debrecen 12:219-226 (1965).
8. M. K. Sen and M. R. Adhikari, On maximal k-ideals of semirings, Proc. Amer. Math. Soc. 118(3):699-703 (1993).
9. H. J. Weinert, Über halbringe und halbkörper II, Acta. Math. Acad. Sci. Hungar. 14:209-227 (1963).
10. U. Zimmermann, Linear and Combinatorial Optimization in Ordered Algebraic Structures, North Holland, Amsterdam, 1981.