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ON BISEMILATTICES WITH GENERALIZED ABSORPTION LAWS, I

ON BISEMILATTICES WITH GENERALIZED ABSORPTION LAWS, I DEMONSTRATIO MATHEMATICAVolXXN o 1-21917Jan GaluszkaON BISEMILATTICES WITH GENERALIZED ABSORPTION LAWS, I0 . The aimcerning powerslaws ( [ 4 ] ) .A* a l g e b r aailattioe if itof t h i s paper i s to present some r e s u l t s conof b i s e m i l a t t i c e s v i t h generalized a b s o r p t i o nCt* ( A , + f . ) of type (2.2) i s c a l l e d a b i s e s a t i s f i e s the following c o n d i t i o n s ( [ 8 ] , [ 9 ] ) iX+X =Xxx = x;x+y = y+x,xy = y x j(x+y)+z - x+(y+z) t(xy)z » x(yz)For a b i s e m i l a t t i c e 01 we can d e f i n e two p a r t i a l orderson A f l ] , [10] ) :i f f x+y - y j^ y i f f xy = x . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Demonstratio Mathematica de Gruyter

ON BISEMILATTICES WITH GENERALIZED ABSORPTION LAWS, I

Demonstratio Mathematica , Volume 20 (1-2): 8 – Jan 1, 1987

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References (4)

Publisher
de Gruyter
Copyright
© by Jan Galuszka
ISSN
0420-1213
eISSN
2391-4661
DOI
10.1515/dema-1987-1-204
Publisher site
See Article on Publisher Site

Abstract

DEMONSTRATIO MATHEMATICAVolXXN o 1-21917Jan GaluszkaON BISEMILATTICES WITH GENERALIZED ABSORPTION LAWS, I0 . The aimcerning powerslaws ( [ 4 ] ) .A* a l g e b r aailattioe if itof t h i s paper i s to present some r e s u l t s conof b i s e m i l a t t i c e s v i t h generalized a b s o r p t i o nCt* ( A , + f . ) of type (2.2) i s c a l l e d a b i s e s a t i s f i e s the following c o n d i t i o n s ( [ 8 ] , [ 9 ] ) iX+X =Xxx = x;x+y = y+x,xy = y x j(x+y)+z - x+(y+z) t(xy)z » x(yz)For a b i s e m i l a t t i c e 01 we can d e f i n e two p a r t i a l orderson A f l ] , [10] ) :i f f x+y - y j^ y i f f xy = x .

Journal

Demonstratio Mathematicade Gruyter

Published: Jan 1, 1987

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