Lectotypification of <i>Halymenia rodrigueziana</i> J. Feldmann [= <i>Sebdenia rodrigueziana</i> (J. Feldmann) Codomier ex Athanasiadis (Sebdeniaceae, Rhodophyta)]

Religion and Spirituality: Adam Smith versus J-J Rousseau

Adam Smith and J-J Rousseau share some common ground when it comes to religion, namely that they were born into  and educated in cultural contexts deeply shaped by Reformed Christianity. However, close consideration of their writings on religion reveal marked difference. This paper explores those differences and finds that Rousseau and Smith are radically at odds on this score. Smith has almost...

Generalized concept of $J$-basis

A generalization of Schauder basis associated with the concept of generalized analytic functions is introduced. Corresponding concepts of density, completeness, biorthogonality and basicity are defined. Also, corresponding concept of the space of coefficients is introduced. Under certain conditions for the  corresponding operators, some properties of the space of coefficients and basicity crite...

IDEAL J *-ALGEBRAS

A C *-algebra A is called an ideal C * -algebra (or equally a dual algebra) if it is an ideal in its bidual A**. M.C.F. Berglund proved that subalgebras and quotients of ideal C*-algebras are also ideal C*-algebras, that a commutative C *-algebra A is an ideal C *-algebra if and only if it is isomorphicto C (Q) for some discrete space ?. We investigate ideal J*-algebras and show that the a...

A class of J-quasipolar rings

In this paper, we introduce a class of $J$-quasipolar rings. Let $R$ be a ring with identity. An element $a$ of a ring $R$ is called {it weakly $J$-quasipolar} if there exists $p^2 = pin comm^2(a)$ such that $a + p$ or $a-p$ are contained in $J(R)$ and the ring $R$ is called {it weakly $J$-quasipolar} if every element of $R$ is weakly $J$-quasipolar. We give many characterizations and investiga...

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