@article{oai:ynu.repo.nii.ac.jp:00006720, author = {Arahovitis, John}, issue = {1&2}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, This note aims at giving characterizations for certain classes of topological algebras, namely for the m-barrelled and countably m-barrelled algebras, by means of appropriate dual subsets and in analogy with the situation one encounters in the case of barrelled topological vector spaces. It also gives a characterization for spectrally barrelled algebras, using a structural property of these algebras and in analogy with the case of countably barrelled spaces. Furthermore, we examine the role of the above classes of topological algebras within the frame of certain problems appearing in the general theory of topological algebras.}, pages = {1--13}, title = {ON VARIOUS TYPES OF BARRELLEDNESS OF A TOPOLOGICAL ALGEBRA}, volume = {32}, year = {1984} }