1 |
A. Abbasi and S. Habibi, The total graph of a commutative ring with respect to proper ideals, J. Korean Math. Soc. 49 (2012), no. 1, 85-98.
과학기술학회마을
DOI
ScienceOn
|
2 |
I. Beck, Coloring of commutative rings, J. Algebra 116 (1988), no. 1, 208-226.
DOI
|
3 |
D. F. Anderson and A. Badawi, The total graph of a commutative ring, J. Algebra 320 (2008), no. 7, 2706-2719.
DOI
ScienceOn
|
4 |
D. F. Anderson and P. S. Livingston, The zero-divisor graph of a commutative rings, J. Algebra 217 (1999), no. 2, 434-447.
DOI
ScienceOn
|
5 |
M. F. Atiyah and I. G. Macdonald, Introduction to Commutative Algebra, Addison Wesley Publishing Company, 1969.
|
6 |
D. Dolzan and P. Oblak, The zero-divisor graphs of rings and semirings, Internat. J. Algebra Comput. 22 (2012), no. 4, 1250033, 20 pp.
DOI
ScienceOn
|
7 |
S. Ebrahimi Atani, The zero-divisor graph with respect to ideals of a commutative semiring, Glas. Mat. Ser. III 43(63) (2008), no. 2, 309-320.
DOI
|
8 |
S. Ebrahimi Atani, An ideal-based zero-divisor graph of a commutative semiring, Glas. Matematicki 44(64) (2009), 141-153.
DOI
|
9 |
S. Ebrahimi Atani, S. Dolati Pish Hesari, and M. Khoramdel, Strong co-ideal theory in quotients of semirings, J. Adv. Res. Pure Math. 5 (2013), no. 3, 19-32.
DOI
|
10 |
S. Ebrahimi Atani, The Identity-Summand Graph of Commutative Semirings, J. Korean Math. Soc. 51 (2014), no. 1, 189-202.
과학기술학회마을
DOI
ScienceOn
|
11 |
S. Ebrahimi Atani, A co-ideal based identity-summand graph of a commutative semiring, submitted.
|
12 |
S. Ebrahimi Atani, Total Graph of a Commutative semiring with respect to identity-summand elements, J. Korean Math. Soc. 51 (2014), no. 3, 593-607.
과학기술학회마을
DOI
ScienceOn
|
13 |
H. Wang, On rational series and rational language, Theoret. Comput. Sci. 205 (1998), no. 1-2, 329-336.
DOI
ScienceOn
|
14 |
S. Ebrahimi Atani and F. Esmaeili Khalil Saraei, The total graph of a commutative semiring, An. Stiint. Univ. "Ovidius" Constanta Ser. Mat. 21 (2013), no. 2, 21-33.
|
15 |
J. S. Golan, Semirings and Their Applications, Kluwer Academic Publishers Dordrecht, 1999.
|
16 |
J. Kist, Minimal prime ideals in commutative semigroups, Proc. London Math. Soc. (3) 13 (1963), 31-50.
|
17 |
A. Bondy and U. S. R. Murty, Graph Theory, Graduate Texts in Mathematics, 244. Springer, New York, 2008.
|