Regular DD\mathscr{D}-classes of the semigroup of n×nn×nn\times n tropical matrices

Lin YANG

Makale detayları

Regular DD\mathscr{D}-classes of the semigroup of n×nn×nn\times n tropical matrices

Yazarlar:

Lin YANG

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 4, pp.2061-2070

Belge Tipi:

Makale

Yayın Tarihi:

7/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745846

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

In this paper we give the characterizations of Green's relations  RR\mathscr{R}, LL\mathscr{L}, and DD\mathscr{D}  on the set of matrices with entries in a tropical  semiring. An m×nm×nm\times n tropical matrix AAA is called regular  if there exists an n×mn×mn\times m tropical matrix XXX satisfying AXA=AAXA=AAXA = A.  Furthermore, we study the regular DD\mathscr{D}-classes  of the semigroup of all n×nn×nn\times n tropical matrices under multiplication  and give a partition of a nonsingular regular DD\mathscr{D}-class.

Makale detayları

Regular DD\mathscr{D}-classes of the semigroup of n×nn×nn\times n tropical matrices

Yazarlar: Lin YANG

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2018 Vol.42 Issue 4, pp.2061-2070

Belge Tipi: Makale

Yayın Tarihi: 7/2018

Belge Dili: Türkçe

Document ID (Org No.): 2000745846

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Lin YANG

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 4, pp.2061-2070

Belge Tipi:

Makale

Yayın Tarihi:

7/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745846

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098