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MONOGENEOUS Definition & Meaning - Merriam-Webster
The meaning of MONOGENEOUS is developing without cyclic change of form —used especially of the Monogenea. www.merriam-webster.com
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monogeneous, adj. meanings, etymology and more | Oxford English ...
The earliest known use of the adjective monogeneous is in the 1850s. OED's earliest evidence for monogeneous is from 1857, in the writing of Robert Mayne. www.oed.com
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monogeneous - Wiktionary, the free dictionary
monogeneous (not comparable). monophyletic · monogenic · monogenean · Categories: English lemmas · English adjectives · English uncomparable adjectives. en.wiktionary.org
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monogeneous
monogeneous, a. (mɒnəʊˈdʒiːniːəs) [f. mod.L. monogene-us, f. Gr. µονογεν-ής (f. µόνο-ς mono- + γέν-ος kind, race) + -ous. Cf. F. monogéné.] 1. Of one race or family.1856 in Mayne Expos. Lex. 2. Biol. Generated in the same form as that of the parents.1890 Century Dict. s.v. 1891 Ibid. s.v. Trematoda,... Oxford English Dictionary
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MONOGENOUS definition and meaning | Collins English Dictionary
in British English · ˈmɒnəʊˌɡlɒt IPA Pronunciation Guide · having command of a single language. 2. written in, composed of, or containing a single language ; in ... www.collinsdictionary.com
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MONOGENOUS Definition & Meaning - Merriam-Webster
The meaning of MONOGENOUS is of or relating to monogenesis. www.merriam-webster.com
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Are simple commutative monoids monogeneous? Let $M$ be a simple commutative monoid. Is there a surjective monoid morphism $\mathbb N\to M$? If non-monogeneous simple commutative monoids do exist, what's known about ...
Let $L=\\{0,1\\}$, considered as a commutative monoid under multiplication. If $M$ is any commutative monoid, there is a homomorphism $f:M\to L$ which sends all invertible elements to $1$ and all non-invertible elements to $0$. If $M$ is simple, then either $f$ must be an isomorphism or $f$ must fai...
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monogeneous - definition and meaning - Wordnik
monogeneous: In biology, generated in the same form as that of the parents; homogeneous as regards stages of development: specifically said of the ... www.wordnik.com
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"MONOGENEOUS": Generated or produced by one - OneLook
We found 5 dictionaries that define the word monogeneous: General (5 matching dictionaries). monogeneous: Merriam-Webster; monogeneous: Oxford English ... onelook.com
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Monogenous - Wikipedia
Monogenous in mathematics may refer to: A synonym for cyclic in. monogenous group, a synonym for cyclic group; monogenous module, a synonym for cyclic ... en.wikipedia.org
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"MONOGENOUS": Originating from only one source - OneLook
adjective: (biology) Relating to monogenesis. adjective: (mathematics) Having a single differential coefficient considered as a rule of generation. www.onelook.com
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monogenesy, n. meanings, etymology and more
The earliest known use of the noun monogenesy is in the 1880s. OED's earliest evidence for monogenesy is from 1885, in Cassell's Encyclopædic Dictionary. www.oed.com
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monogeneity
monogeneity Math. (mɒnədʒɪˈniːɪtɪ) [Formed as next + -ity.] The state or condition of being monogeneous.1906 Athenæum 20 Jan. 83/3 The following papers were communicated [on Jan. 11]: ‘On the Monogeneity of an Algebraic Function’, by Dr. H. F. Baker, [etc.]. Oxford English Dictionary
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monogenous
monogenous, a. (məˈnɒdʒɪnəs) [f. Gr. µόνο-ς mono- + γέν-ος kind, origin, γεν- to grow, produce (see -gen) + -ous.] 1. Bot. (See quot. 1856.)1856 Mayne Expos. Lex., Monogenus, Bot., applied by Lessing to monocotyledonous plants, because they have but one surface of increase, which is central: monogen... Oxford English Dictionary
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Name of some specific orders in number fields Let $\mathbb{K}/\mathbb{Q}$ a number field. For an integer $\theta\in\mathfrak{o}_\mathbb{K}$, one can define an order $$ \mathbb{Z}[\theta] = \oplus_i \mathbb{Z} \theta^...
The computer algebra system `magma` calls such a thing an _equation order_. It is isomorphic to the ring $\mathbb{Z}[x]/(f(x))$, where $f$ is the minimal polynomial for $\theta$ over $\mathbb{Q}$. The specific basis $\\{ \theta^i \\}$ would be called a _power basis_.
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