Constructing the maximal monoids in the semigroups 𝒩 n , 𝒮 n , and Ω n

D. J. Hartfiel; C. J. Maxson

Compositio Mathematica (1976)

  • Volume: 32, Issue: 1, page 41-52
  • ISSN: 0010-437X

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Hartfiel, D. J., and Maxson, C. J.. "Constructing the maximal monoids in the semigroups $\mathcal {N}_n, \mathcal {S}_n$, and $\Omega _n$." Compositio Mathematica 32.1 (1976): 41-52. <http://eudml.org/doc/89281>.

@article{Hartfiel1976,
author = {Hartfiel, D. J., Maxson, C. J.},
journal = {Compositio Mathematica},
language = {eng},
number = {1},
pages = {41-52},
publisher = {Noordhoff International Publishing},
title = {Constructing the maximal monoids in the semigroups $\mathcal \{N\}_n, \mathcal \{S\}_n$, and $\Omega _n$},
url = {http://eudml.org/doc/89281},
volume = {32},
year = {1976},
}

TY - JOUR
AU - Hartfiel, D. J.
AU - Maxson, C. J.
TI - Constructing the maximal monoids in the semigroups $\mathcal {N}_n, \mathcal {S}_n$, and $\Omega _n$
JO - Compositio Mathematica
PY - 1976
PB - Noordhoff International Publishing
VL - 32
IS - 1
SP - 41
EP - 52
LA - eng
UR - http://eudml.org/doc/89281
ER -

References

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  1. [1] H.K. Farahat: The semigroup of doubly stochastic matrices. Proc. Glasgow Math. Assoc.7 (1966) 178-183. Zbl0156.26001MR202730
  2. [2] P. Flor: On groups of nonnegative matrices. Compositio Math.21 (1969) 376-382. Zbl0194.34005MR257115
  3. [3] W.B. Jurkat and H.J. Ryser: Term ranks and permanents of nonnegative matrices. Journal of Algebra, 5 (1967) 342-357. Zbl0178.03302MR215740
  4. [4] J.S. Montague and R.J. Plemmons: Convex Matrix Equations. Bull. Amer. Math. Soc.78 (1972) 965-968. Zbl0262.15011MR306231
  5. [5] R.J. Plemmons: Regular Nonnegative Matrices. Proc. Amer. Math. Soc.39 (1973) 26-32. Zbl0273.20051MR313274
  6. [6] D.J. Richman and Hans Schneider: Primes in the semigroup of nonnegative matrices. (to appear in LMA) Zbl0289.15015
  7. [7] S. Schwarz: On the structure of the semigroup of stochastic matrices. Magyar Tud. Akad. Mat. Kutato Inst. Kozl.9 (1964) 297-311. Zbl0143.03303MR188337
  8. [8] S. Schwarz: A note on the structure of the semigroup of doubly stochastic matrices. Mat. Casopis Sloven. Akad. Vied.17 (1967) 308-316. Zbl0157.04902MR241451

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