Second and secondary lattice modules.
Let M be a lattice module over the multiplicative lattice L. A nonzero L-lattice module M is called second if for each a ∈ L, a1M = 1M or a1M = 0M . A nonzero L-lattice module M is called secondary if for each a ∈ L, a1M = 1M or a(n)1M = 0 M for some n > 0. Our objective is to investigative properties of second and secondary lattice modules.
Department of Mathematics, Beykent University, Ayazaga-Maslak, 34396 Istanbul, Turkey.
Fethi
F
Callıalp
Department of Mathematics, Marmara University, Ziverbey, Göztepe, 34722 Istanbul, Turkey.
Ünsal
Ü
Tekir
Department of Mathematics, Marmara University, Ziverbey, Göztepe, 34722 Istanbul, Turkey.
Emel Aslankarayiğit
EA
Uğurlu
Department of Mathematics, Yildiz Technical University, 34210 Istanbul, Turkey.
Kürşat Hakan
KH
Oral
D008962:Models, Theoretical