TY - JOUR
ID - 34407
TI - Slimming and regularization of cozero maps
JO - Categories and General Algebraic Structures with Applications
JA - CGASA
LA - en
SN - 2345-5853
AU - Ebrahimi, Mohamad Mehdi
AU - Feizabadi, Abolghasem Karimi
AD - Department of Mathematics, Shahid Beheshti University, G.C., Tehran 19839, Iran.
AD - Department of Mathematics, Gorgan Branch, Islamic Azad University, Gorgan, Iran.
Y1 - 2017
PY - 2017
VL - 6
IS - Speical Issue on the Occasion of Banaschewski's 90th Birthday (I)
SP - 67
EP - 84
KW - frame
KW - cozero map
KW - slim
KW - slimming
KW - algebraic
KW - regular
KW - Regularization
DO -
N2 - Cozero maps are generalized forms of cozero elements. Two particular cases of cozero maps, slim and regular cozero maps, are significant. In this paper we present methods to construct slim and regular cozero maps from a given cozero map. The construction of the slim and the regular cozero map from a cozero map are called slimming and regularization of the cozero map, respectively. Also, we prove that the slimming and regularization create reflector functors, and so we may say that they are the best method of constructing slim and regular cozero maps, in the sense of category theory. Finally, we give slim regularization for a cozero map $c:M\rightarrow L$ in the general case where $A$ is not a ${\Bbb Q}$-algebra. We use the ring and module of fractions, in this construction process.
UR - https://cgasa.sbu.ac.ir/article_34407.html
L1 - https://cgasa.sbu.ac.ir/article_34407_a5c130e088026ede497dc3f85308de65.pdf
ER -