BulDML at Institute of Mathematics and Informatics >
IMI Periodicals >
Serdica Mathematical Journal >
2014 >
Volume 40, Number 3-4 >

Please use this identifier to cite or link to this item:

Title: Notes on Lattice Ordered Aalgebras
Authors: Yılmaz, Ruşen
Keywords: lattice ordered algebra
Riesz algebra
almost f-algebra
pseudo-almost f-algebra
Issue Date: 2014
Publisher: Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Citation: Serdica Mathematical Journal, Vol. 40, No 3-4, (2014), 319p-328p
Abstract: In this paper we introduce a new class of lattice ordered algebra, which will be called a pseudo-almost f-algebra; namely, a lattice ordered algebra A in which a ∧ b = 0 in A implies ab ∧ ba = 0. We present some fundamental properties of pseudo-almost f-algebras and consider their relationships with various type of lattice ordered algebras; mainely, f-algebras, almost f-algebras and d-algebras. 2010 Mathematics Subject Classification: Primary 46A40, 46B42; Secondary 06F25, 13J25.
ISSN: 1310-6600
Appears in Collections:Volume 40, Number 3-4

Files in This Item:

File Description SizeFormat
2014-319-328.pdf426.84 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.


Valid XHTML 1.0!   Creative Commons License