unitaladj.

Brit.

/ˈjuːnɪtl/, U.S.

/ˈjunəd(ə)l/

Origin: Formed within English, by derivation. Etymons: unit n., -al suffix¹; -al suffix¹.

Etymology: Partly < unit n. + -al suffix¹, and partly < unit- (in unity n.) + -al suffix¹. Compare earlier unitary adj.

1. Of or relating to a unit or units; of the nature of a unit; = unitary adj. 2. In later use chiefly in legal contexts.

ΘΚΠ

the world > relative properties > wholeness > mutual relation of parts to whole > condition or fact of uniting or being united > [adjective] > having property of uniting

unitivea1500

uniting1582

unifying1681

unific1788

esemplastic1817

unital1837

inoneing1855

unificatorya1897

the world > relative properties > wholeness > mutual relation of parts to whole > condition or fact of uniting or being united > [adjective] > formed into or forming a unit

unitized1793

unitary1851

unital1894

1837 J. Lee Proportional Formulæ 13 Take the product of the unital digit of the multiplier with the unital digit of the multiplicand.

1894 Forum Mar. 34 To give to each one-tenth of its capital stock..a single director, is open to the objection that it prevents unital control.

1917 Yale Law Jrnl. June 718 While the word ‘paucital’ is suggested as the generic term to cover all rights in personam, the word ‘unital’ would be available to denote that particular kind of right in personam that is ‘unique’ and ‘uncompanioned’.

1930 Canad. Engin. 19 Aug. 247/2 The question of the time to be taken for the carrying out of a piece of work is also an important factor in regulating the unital prices of the various items.

1957 Trans. Inst. Naval Architects 99 187/1 The value of η in (a) above is that deflection which is induced by unital load.

2013 H. E. Smith in J. E. Penner & H. E. Smith Philos. Found. of Prop. Law xiv. 336 Corbin and the realists insisted that in rem rights were really a collection of numerous ‘unital’ rights.

†2. Producing unity or union; uniting, unifying. Obsolete.

ΚΠ

1860 W. J. C. Muir Pagan or Christian? 82 The nave grandly predominates over the aisles, without there being any unital element common to both.

1882 J. B. Stallo Concepts Mod. Physics 20 In nature there is a great unital, continuous and everlasting process of development.

3. Mathematics. Of a module (module n. 5b): having the property that the product of any given element of the module and the identity (identity n. 7a) of the ring associated with the module is the element itself. Of a ring (ring n.¹ 15) or algebra: having a multiplicative identity element.

ΚΠ

1956 Canad. Jrnl. Math. 8 271 A left or right B-module M is called unital if the identity element of B acts as identity operator on M.

1959 R. Chichester Basis & Dimension in Abstr. Module Theory (Argonne National Lab.) 14 This alone..proves that the semi-simple isotypic module (over a unital ring) cannot qualify as a generalized linear space.

1980 Proc. Amer. Math. Soc. 80 189 Throughout this paper R will denote a finite ring with 1 and V a finite unital R-module.

2006 A. W. Knapp Basic Algebra 372 If R is a field, the unital R modules are exactly the vector spaces over R.

This entry has been updated (OED Third Edition, September 2015; most recently modified version published online March 2022).

单词	unital
释义	unitaladj. Brit. /ˈjuːnɪtl/, U.S. /ˈjunəd(ə)l/ Origin: Formed within English, by derivation. Etymons: unit n., -al suffix¹; -al suffix¹. Etymology: Partly < unit n. + -al suffix¹, and partly < unit- (in unity n.) + -al suffix¹. Compare earlier unitary adj. 1. Of or relating to a unit or units; of the nature of a unit; = unitary adj. 2. In later use chiefly in legal contexts. ΘΚΠ the world > relative properties > wholeness > mutual relation of parts to whole > condition or fact of uniting or being united > [adjective] > having property of uniting unitivea1500 uniting1582 unifying1681 unific1788 esemplastic1817 unital1837 inoneing1855 unificatorya1897 the world > relative properties > wholeness > mutual relation of parts to whole > condition or fact of uniting or being united > [adjective] > formed into or forming a unit unitized1793 unitary1851 unital1894 1837 J. Lee Proportional Formulæ 13 Take the product of the unital digit of the multiplier with the unital digit of the multiplicand. 1894 Forum Mar. 34 To give to each one-tenth of its capital stock..a single director, is open to the objection that it prevents unital control. 1917 Yale Law Jrnl. June 718 While the word ‘paucital’ is suggested as the generic term to cover all rights in personam, the word ‘unital’ would be available to denote that particular kind of right in personam that is ‘unique’ and ‘uncompanioned’. 1930 Canad. Engin. 19 Aug. 247/2 The question of the time to be taken for the carrying out of a piece of work is also an important factor in regulating the unital prices of the various items. 1957 Trans. Inst. Naval Architects 99 187/1 The value of η in (a) above is that deflection which is induced by unital load. 2013 H. E. Smith in J. E. Penner & H. E. Smith Philos. Found. of Prop. Law xiv. 336 Corbin and the realists insisted that in rem rights were really a collection of numerous ‘unital’ rights. †2. Producing unity or union; uniting, unifying. Obsolete. ΚΠ 1860 W. J. C. Muir Pagan or Christian? 82 The nave grandly predominates over the aisles, without there being any unital element common to both. 1882 J. B. Stallo Concepts Mod. Physics 20 In nature there is a great unital, continuous and everlasting process of development. 3. Mathematics. Of a module (module n. 5b): having the property that the product of any given element of the module and the identity (identity n. 7a) of the ring associated with the module is the element itself. Of a ring (ring n.¹ 15) or algebra: having a multiplicative identity element. ΚΠ 1956 Canad. Jrnl. Math. 8 271 A left or right B-module M is called unital if the identity element of B acts as identity operator on M. 1959 R. Chichester Basis & Dimension in Abstr. Module Theory (Argonne National Lab.) 14 This alone..proves that the semi-simple isotypic module (over a unital ring) cannot qualify as a generalized linear space. 1980 Proc. Amer. Math. Soc. 80 189 Throughout this paper R will denote a finite ring with 1 and V a finite unital R-module. 2006 A. W. Knapp Basic Algebra 372 If R is a field, the unital R modules are exactly the vector spaces over R. This entry has been updated (OED Third Edition, September 2015; most recently modified version published online March 2022). < adj.1837
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