On a product of universal hyperalgebras
Abstract We introduce and study a new operation of product of universal hyperalgebras which lies, with respect to set inclusion, between the cartesian product of the hyperalgebras and the cartesian product of their idempotent hulls. We give sufficient conditions for the validity of the first exponential law and a weak form of the second exponential law for the direct power of universal hyperalgebras with respect to the product introduced.
On powers of relational structures
We introduce a new operation of power of n-ary relational structures, which is carried by the corresponding set of homomorphisms. The introduced power combines two known powers of relational structures and all the three powers are discussed. In particular, a product of n-ary relational structures is found with respect to which the new power fulfills the first exponential law.
The Tsadik and His Soul’s Sparks: From Kabbalah to Hasidism
The present study shows the continuity between the Safedian Kabbalistic view of the relations between the sparks of a certain soul, and the Hasidic theory, that was conceived of as innovated by and characteristic of 18th century Hasidism, as to the responsibility of the Tsadik for the sparks that belongs to his soul. In the two literatures, the rescue of a spark of one's soul is related to the beautiful captive woman that is conceived of as an externalization of an inner dimension of the righteous person, immersed in a shell.