Memoirs and papers presented at a conference held on the occasion of the 90th birthday of the Mongolian philosopher Ts. Balkhaajav.

A pO -algebra $${(L; f, \, ^{\star})}$$ is an algebra in which ( L ; f ) is an Ockham algebra, $${(L; \, ^{\star})}$$ is a p -algebra, and the unary operations f and $${^{\star}}$$ commute. Here we consider the endomorphism monoid of such an algebra. If $${(L; f, \, ^{\star})}$$ is a subdirectly irreducible pK 1,1 - algebra then every endomorphism $${\vartheta}$$ is a monomorphism or $${\vartheta^3 = \vartheta}$$ . When L is finite the endomorphism monoid of L is (...) regular, and we determine precisely when it is a Clifford monoid. (shrink)

We explicitly compute, following the method of Weyl, the commutator [Q, P] of the position operatorQ and the momentum operatorP of a particle when the dimension of the space on which they act is finite with a discrete spectrum; and we show that in the limit of a continuous spectrum with the dimension going to infinity this reduces to the usual relation of Heisenberg.

The Siddhāntaleśasaṅgraha written by Appayyadīkshitar in the seventeenth century is one of the rare texts where the author brings together the different views of Advaita present at his time. The book itself starts with the controversy surrounding whether the sentence “śrotavyaḥ…” is a vidhi-vākya or not. This paper attempts to summarize the various approaches to this question in the SLS and gives us a glimpse as to how the debate was conducted. Even though the SLS was translated by Suryanarayana Sastri (...) in 1933 the vocabulary and the style is so out-dated that it was not of much use. I then decided to do a fresh translation of the SLS and have succeeded only in translating the first uddeśa. I have condensed the arguments presented in the SLS under some broad headings and thus tried to recreate the arguments presented in the text. (shrink)

History of the Mongolian Khėl Zokhiolyn Khu̇rėėlėn (Institute of Language and Literature) and well-known Mongolian linguists.