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Selected Works

Higher Education

1990

Articles 1 - 2 of 2

Full-Text Articles in Education

The Deanship, Frank Cortez Flores Jan 1990

The Deanship, Frank Cortez Flores

Frank Cortez Flores

THE DEANSHIP: A DIMENSION OF ACADEMIC LEADERSHIP Abstract This study will investigate the role of the dean as identified in the relevant literature; its purpose is to provide an in-depth analysis of the deanship based on leadership role theory. The description in the literature of effective academic leaders is that these leaders are trustworthy, have a clear vision of their school's future, and are able to inspire a shared vision among divergent individuals and groups (Bennis and Norris, 1985). According to Dibden (1968), academic deans are concerned with the effective functioning of an educational unit, promoting scholarship among faculty, facilitating …

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An Analogue In Certain Unique Factorization Domains Of The Euclid-Euler Theorem On Perfect Numbers, Wayne L. Mcdaniel Dec 1989

An Analogue In Certain Unique Factorization Domains Of The Euclid-Euler Theorem On Perfect Numbers, Wayne L. Mcdaniel

UMSL Emeritus

We show that there exists a natural extention of the sum of divisors function to all unique factorization domains F having a finite number of units such that if a perfect number in F is defined to be an integer η whose proper divisors sum to η, then the analogue of Euclid's theorem giving the sufficient condition that an integer be an even perfect number holds in F, and an analogue of the Euclid-Euler theorem giving the necessary and sufficient condition that an even integer be perfect holds in those domains having more than two units, i. e., in Q(−1) …

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