Alahmadi, Adel N.; Alkhamees, Yousef; Jain, S. K. On semigroups and semirings of nonnegative matrices. (English) Zbl 1256.15016 Linear Multilinear Algebra 60, No. 5, 595-598 (2012). The reader can find two results that are based on a generalization of a result of S. K. Jain, E. K. Kwak, and V. K. Goel [Trans. Am. Math. Soc. 257, 371–385 (1980; Zbl 0459.15008)]. Any finite multiplicative semigroup generated by a nonnegative matrix and a semiring of nonnegative matrices is characterized. Reviewer: Ctirad Matonoha (Prague) Cited in 1 Document MSC: 15B48 Positive matrices and their generalizations; cones of matrices 20M25 Semigroup rings, multiplicative semigroups of rings 15A09 Theory of matrix inversion and generalized inverses 15A30 Algebraic systems of matrices 16Y60 Semirings Keywords:semigroups; semirings; nonnegative matrices; group inverse; Drazin inverse Citations:Zbl 0459.15008 PDFBibTeX XMLCite \textit{A. N. Alahmadi} et al., Linear Multilinear Algebra 60, No. 5, 595--598 (2012; Zbl 1256.15016) Full Text: DOI References: [1] Ben-Israel Adi, Generalized Inverses and Applications (2003) · Zbl 1026.15004 [2] Berman A, Nonnegative Matrices in Mathematical Sciences (1994) [3] DOI: 10.2307/2689442 · Zbl 0321.15008 [4] Jain SK, Math. Stud. Indian Mathematical Society 46 pp 42– (1978) [5] DOI: 10.1090/S0002-9947-1980-0552264-3 [6] DOI: 10.1080/03081087708817182 · Zbl 0371.05014 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.