Boolean semirings

1962 ◽  
Vol 148 (5) ◽  
pp. 395-401 ◽  
Author(s):  
N. V. Subrahmanyam
Keyword(s):  
Boolean Semirings

scholarly journals The dual geometry of Boolean semirings

2010 ◽  
Vol 64 (3-4) ◽  
pp. 231-249
Author(s):  
Daniel J. Clouse ◽  
Fernando Guzmán
Keyword(s):  
Boolean Semirings

STRUCTURE OF \Gamma-GENERALIZED BOOLEAN SEMIRINGS

2016 ◽  
Vol 101 (1) ◽  
pp. 39-53
Author(s):  
Tossatham Makkala ◽  
Utsanee Leerawat
Keyword(s):  
Boolean Semirings

scholarly journals The variety of Boolean semirings

1992 ◽  
Vol 78 (3) ◽  
pp. 253-270 ◽  
Author(s):  
Fernando Guzmán
Keyword(s):  
Boolean Semirings

scholarly journals On a class of near-rings

1972 ◽  
Vol 14 (1) ◽  
pp. 17-19 ◽  
Author(s):  
George Szeto
Keyword(s):  
Structure Theorem ◽  
Additive Group ◽  
Boolean Ring ◽  
Boolean Semirings

In [3], Ligh proved that every distributively generated Boolean near-ring is a ring, and he gave an example to which the above fact can not be extended. That is, let G be an additive group and let the multiplication on G be defined by xy = y for all x, y in G. Ligh called this Boolean near-ring G a general Boolean near-ring. near-ring. Then in [4], Ligh called Ra β-near-ring if for each x in R, x2 = x and xyz = yxz for all x, y, z in R, and he proved that the structure of a β-near-ring is “very close” to that of a usual Boolean ring. We note that general Boolean near-rings and Boolean semirings as defined in [5] are β-near-rings. The purpose of this paper is to generalize the structure theorem on β-near-rings given by Ligh in [4] to a broader class of near-rings.

scholarly journals Commutativity of $\Gamma$-Generalized Boolean Semirings with Derivations

2016 ◽  
Vol 8 (4) ◽  
pp. 132 ◽  
Author(s):  
Tossatham Makkala ◽  
Utsanee Leerawat
Keyword(s):  
Generalized Derivation ◽  
Boolean Semiring ◽  
Boolean Semirings

In this paper the notion of derivations on $\Gamma$-generalized Boolean semiring are established, namely $\Gamma$-$(f, g)$ derivation and $\Gamma$-$(f, g)$ generalized derivation. We also investigate the commutativity of prime $\Gamma$-generalized Boolean semiring admitting $\Gamma$-$(f, g)$ derivation and $\Gamma$-$(f, g)$ generalized derivation satisfying some conditions.

scholarly journals Boolean semirings

1994 ◽  
Vol 44 (4) ◽  
pp. 763-767
Author(s):  
I. Chajda ◽  
M. Kotrle
Keyword(s):  
Boolean Semirings

scholarly journals On locally nilpotent derivations of Boolean semirings

2017 ◽  
Vol 4 (1) ◽  
pp. 1351064
Author(s):  
Katthaleeya Daowsud ◽  
Monrudee Sirivoravit ◽  
Utsanee Leerawat ◽  
Nigel Byott
Keyword(s):  
Locally Nilpotent ◽  
Boolean Semirings
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