caa a22 4500 463171659 CHVBK 20180406164815.0 cr unu---uuuuu 170326e20070301xx s 000 0 eng 10.1007/s-10998-007-1015-9 doi (NATIONALLICENCE)springer-10.1007/s-10998-007-1015-9 Quasiregular and Baer lattices — II [Elektronische Daten] [C. Manjarekar, Nitin Chavan] Let L be a compactly generated multiplicative lattice with 1 compact in which every finite product of compact elements is compact and u ∈ L be a radical element. Under this hypothesis, in this paper we extend the concepts such as Baer lattices, quasiregular lattices etc. to what we respectively call Baer lattices w.r.t. u, quasiregular lattices w.r.t. u etc. and using these concepts we extend here the results proved by D. D. Anderson, C. Jayaram and P. A. Phiri. In the course of the development, we add many fruitful concepts and results. Also we study nature and characterizations of different elements. Akadémiai Kiadó, 2007 principal elements nationallicence prime elements nationallicence radical elements nationallicence Baer elements nationallicence regular lattices nationallicence Manjarekar C. Department of Mathematics, Shivaji University, 416 004, Kolhapur, Maharashtra, India aut Chavan Nitin Department of Mathematics, Shivaji University, 416 004, Kolhapur, Maharashtra, India aut Periodica Mathematica Hungarica Kluwer Academic Publishers 54/1(2007-03-01), 15-29 0031-5303 54:1<15 2007 54 10998 https://doi.org/10.1007/s-10998-007-1015-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s-10998-007-1015-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Manjarekar C. Department of Mathematics, Shivaji University, 416 004, Kolhapur, Maharashtra, India aut NATIONALLICENCE 700 1- Chavan Nitin Department of Mathematics, Shivaji University, 416 004, Kolhapur, Maharashtra, India aut NATIONALLICENCE 773 0- Periodica Mathematica Hungarica Kluwer Academic Publishers 54/1(2007-03-01), 15-29 0031-5303 54:1<15 2007 54 10998 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 462010996 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer